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| number = ML15075A341
| number = ML15075A341
| issue date = 03/10/2015
| issue date = 03/10/2015
| title = NUH32PHB-0403, Revision 1, Thermal Evaluation of Nuhoms 32PHB DSC for Storage and Transfer Conditions
| title = NUH32PHB-0403, Revision 1, Thermal Evaluation of NUHOMS 32PHB DSC for Storage and Transfer Conditions
| author name =  
| author name =  
| author affiliation = AREVA
| author affiliation = AREVA
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{{#Wiki_filter:ENCLOSURE11 NUH32PHB-0403, Revision 1, Thermal Evaluation of NUHOMS 32PHB DSC for Storage and Transfer Conditions Calvert Cliffs Nuclear Power Plant March 10, 2015
{{#Wiki_filter:ENCLOSURE11 NUH32PHB-0403, Revision 1, Thermal Evaluation of NUHOMS 32PHB DSC for Storage and Transfer Conditions Calvert Cliffs Nuclear Power Plant March 10, 2015


Calculation No.:   NUH32PHB-0403 Calculation               Revision No.:   1 AR EVA                                                                         Page: 38 of 56 In determining the temperature dependent axial effective conductivities an average temperature, equal to Tavg = (T1 + T2 )/2, is used for the basket temperature. The axial effective conductivities for 32PHB basket are listed in Table 5-14.
Calculation No.:
Table 5-14     Effective Axial Conductivity for 32PHB Basket T1 (Ttop) T 2 (Tbottm)     Tavq Qreaction   kbasket. axl (OF)         (OF)       (OF) (Btu/hr)   (Btu/hr-in-°F) 50         150         100   14918       1.9946 150         250         200   15252       2.0393 250         350         300   15527       2.0760 350         450         400   15747       2.1055 450         550         500   15826       2.1160 550         650         600   15877       2.1228 650         750         700   15928       2.1297 750         850         800   15972       2.1355 850         950         900   16019       2.1418 950         1050       1000   16061       2.1474 5.2.2.2     Radial Effective Thermal Conductivity The basket slice model is also used to calculate the transverse effective thermal conductivity of the basket. For this purpose, constant temperature boundary conditions are applied on the outermost nodes of the slice model and heat generating conditions are applied over the fuel elements.
NUH32PHB-0403 Calculation Revision No.:
1 AR EVA Page:
38 of 56 In determining the temperature dependent axial effective conductivities an average temperature, equal to Tavg = (T1 + T2)/2, is used for the basket temperature. The axial effective conductivities for 32PHB basket are listed in Table 5-14.
Table 5-14 Effective Axial Conductivity for 32PHB Basket T1 (Ttop)
T 2 (Tbottm)
Tavq Qreaction kbasket. axl (OF)
(OF)
(OF)
(Btu/hr)
(Btu/hr-in-°F) 50 150 100 14918 1.9946 150 250 200 15252 2.0393 250 350 300 15527 2.0760 350 450 400 15747 2.1055 450 550 500 15826 2.1160 550 650 600 15877 2.1228 650 750 700 15928 2.1297 750 850 800 15972 2.1355 850 950 900 16019 2.1418 950 1050 1000 16061 2.1474 5.2.2.2 Radial Effective Thermal Conductivity The basket slice model is also used to calculate the transverse effective thermal conductivity of the basket. For this purpose, constant temperature boundary conditions are applied on the outermost nodes of the slice model and heat generating conditions are applied over the fuel elements.
The heat generation rates for the slice model of 32PHB basket are calculated based on the HLZC shown in Figure 5-5 with a total heat load of 29.6 kW and a peaking factor of 1.1 for 32PHB fuel assemblies.
The heat generation rates for the slice model of 32PHB basket are calculated based on the HLZC shown in Figure 5-5 with a total heat load of 29.6 kW and a peaking factor of 1.1 for 32PHB fuel assemblies.
The following equation to calculate maximum temperature is given in [14] for long solid cylinders with uniformly distributed heat sources.
The following equation to calculate maximum temperature is given in [14] for long solid cylinders with uniformly distributed heat sources.
T = Tý     .                                  (5.7)
T = Tý (5.7)
With   To     = Temperature at the outer surface of the cylinder (OF),
With To T
T      = Maximum temperature of the cylinder (OF),
ro rk
                = Heat generation rate (Btu/hr-in 3 ),
= Temperature at the outer surface of the cylinder (OF),
ro      = Outer radius = Dbasket /2 = 33.0" for 32PHB basket, r      = Inner radius, k      = Conductivity (Btu/hr-in-°F).
= Maximum temperature of the cylinder (OF),
= Heat generation rate (Btu/hr-in 3),
= Outer radius = Dbasket /2 = 33.0" for 32PHB basket,
= Inner radius,
= Conductivity (Btu/hr-in-°F).


A                                     Calculation Calculation No.:
A AREVA Calculation Calculation No.:
Revision No.:
NUH32PHB-0403 Revision No.:
Page:
1 Page:
NUH32PHB-0403 1
39 of 56 Equation (5.7) is rearranged to calculate the transverse effective conductivity of the basket as follows.
39 of 56 AREVA Equation (5.7) is rearranged to calculate the transverse effective conductivity of the basket as follows.
Qrad V
Qrad V                                               (5.8)
(5.8)
Qrad   *rO         Qrad Q
(5.9) baktd Qrad *rO Q
baktd 4.asVet-aAT     27r -L -AT                 (5.9)
Qrad 4.asVet-aAT 27r -L -AT With Qrad  
With       Qrad   = Amount of heat leaving the periphery of the slice model - reaction solution of the outermost nodes (Btu/hr),
= Amount of heat leaving the periphery of the slice model - reaction solution of the outermost nodes (Btu/hr),
L       = Length of the slice model = 22.86",
L  
V       = Volume of the slice model = (7cro 2 L)/2, AT     = (Tmax - To) = Difference between maximum and the outer surface temperatures in (OF).
= Length of the slice model = 22.86",
V  
= Volume of the slice model = (7cro 2L)/2, AT  
= (Tmax - To) = Difference between maximum and the outer surface temperatures in (OF).
Since the surface area of the fuel assemblies at the basket cross section is much larger than the other components, assuming a uniform heat generation is a reasonable approximation to calculate the radial effective conductivity.
Since the surface area of the fuel assemblies at the basket cross section is much larger than the other components, assuming a uniform heat generation is a reasonable approximation to calculate the radial effective conductivity.
Typical applied boundary conditions are shown in Figure 5-9 (b).
Typical applied boundary conditions are shown in Figure 5-9 (b).
In determining the temperature dependent transverse effective conductivities an average temperature, equal to (Tmax +To)/2, is used for the basket temperature.
In determining the temperature dependent transverse effective conductivities an average temperature, equal to (Tmax +To)/2, is used for the basket temperature.
The transverse effective conductivities of 32PHB basket are listed in Table 5-15.
The transverse effective conductivities of 32PHB basket are listed in Table 5-15.
Table 5-15       Effective Radial Conductivity for 32PHB Basket To         TMAX     Tava     Qreaction   kbasket, rad (OF)       (OF)     [OF]     (Btu/hr)   (Btu/hr-in-°F) 100         530     315       9298         0.151 200         605     403       9298         0.160 300         683     492       9298         0.169 400         762     581       9298         0.179 500         843     672       9298         0.189 600         926     763       9298         0.199 700         1010     855       9298         0.209 800         1097     949       9298         0.218 900         1189     1045       9298         0.224 1000         1285     1143       9298         0.227
Table 5-15 Effective Radial Conductivity for 32PHB Basket To TMAX Tava Qreaction kbasket, rad (OF)
(OF)
[OF]
(Btu/hr)
(Btu/hr-in-°F) 100 530 315 9298 0.151 200 605 403 9298 0.160 300 683 492 9298 0.169 400 762 581 9298 0.179 500 843 672 9298 0.189 600 926 763 9298 0.199 700 1010 855 9298 0.209 800 1097 949 9298 0.218 900 1189 1045 9298 0.224 1000 1285 1143 9298 0.227


Calculation No.:   NUH32PHB-0403 Calculation                     Revision No.:   1 AR EVA                                                                                   Page: 40 of 56 6.0       RESULTS For cold normal and cold off-normal storage conditions with -81F ambient temperature, the 32PHB DSC shell temperatures are derived from 61 BTH DSC shell temperatures for normal storage with 0°F ambient temperature and 31.2 kW heat load in the HSM-H model [11]. This approach is conservative and acceptable for thermal evaluation of 32PHB DSC for both cold normal and cold off-normal storage conditions.
Calculation No.:
NUH32PHB-0403 Calculation Revision No.:
1 AR EVA Page:
40 of 56 6.0 RESULTS For cold normal and cold off-normal storage conditions with -81F ambient temperature, the 32PHB DSC shell temperatures are derived from 61 BTH DSC shell temperatures for normal storage with 0°F ambient temperature and 31.2 kW heat load in the HSM-H model [11]. This approach is conservative and acceptable for thermal evaluation of 32PHB DSC for both cold normal and cold off-normal storage conditions.
As discussed in [16], thermal analysis results of 32PHB DSC for hot off-normal transfer condition bounds all normal and off-normal transfer conditions.
As discussed in [16], thermal analysis results of 32PHB DSC for hot off-normal transfer condition bounds all normal and off-normal transfer conditions.
The maximum 32PHB DSC component temperatures are listed in Table 6-1 for normal, off-normal, and accident storage and transfer conditions.
The maximum 32PHB DSC component temperatures are listed in Table 6-1 for normal, off-normal, and accident storage and transfer conditions.
Table 6-1         Maximum 32PHB DSC Component Temperatures Fuel       Basket       DSC     Al/Poison   Basket     Top Bottom Operating Condition               Cladding (Guide Sleeve) (Shell)       Plate   Rails     SPlug Plug Tmax       Tmax         Tmax       Tmax     Tmax       Tmax Tmax m(F       (OF)         (OF)                 (OF)     (OF) (OF)
Table 6-1 Maximum 32PHB DSC Component Temperatures Fuel Basket DSC Al/Poison Basket Top Bottom Operating Condition Cladding (Guide Sleeve) (Shell)
Cold (1)             648         626         362         626       372       63   170 Normal         Hot (4)           <724       <706         <436       <705     <461     <185   <273 Off-         Cold (1)             648         626         362         626       372       63   170 Storage     Normal         Hot (2)             724         706         436         705       461       185   273 Accident   Blocked Vent (3)         867         853         595         853       626     344   496 Cold   (6)         <728       <709         <408       <708     <472     <346 <358 Normal Hot 1040 F @ 20 hrs (6)   <728       <709         <408       <708     <472     <346   <358 Transfer     Off-         Cold (6)           <728       <709         <408       <708     <472     <346 <358 Normal   Hot 104 0 F@ 20 hrs       728         709         408         708       472     346   358 Accident         Fire (7)           932         919         656         919       705     560   570 DSC in Vertical TC @       733         715         397         715       466     348   365 Within Fuel Building       20 hrs (5)
Plate Rails SPlug Plug Tmax Tmax Tmax Tmax Tmax Tmax Tmax m(F (OF)
(OF)
(OF)
(OF)
(OF)
Cold (1) 648 626 362 626 372 63 170 Normal Hot (4)  
<724  
<706  
<436  
<705  
<461  
<185  
<273 Off-Cold (1) 648 626 362 626 372 63 170 Storage Normal Hot (2) 724 706 436 705 461 185 273 Accident Blocked Vent (3) 867 853 595 853 626 344 496 Cold (6)  
<728  
<709  
<408  
<708  
<472  
<346  
<358 Normal Hot 1040F @ 20 hrs (6)  
<728  
<709  
<408  
<708  
<472  
<346  
<358 Transfer Off-Cold (6)  
<728  
<709  
<408  
<708  
<472  
<346  
<358 Normal Hot 1040F@ 20 hrs 728 709 408 708 472 346 358 Accident Fire (7) 932 919 656 919 705 560 570 DSC in Vertical TC @
733 715 397 715 466 348 365 Within Fuel Building 20 hrs (5)
Notes: (1) Based on normal storage with 0&deg;F ambient temperature.
Notes: (1) Based on normal storage with 0&deg;F ambient temperature.
(2)
(2)
(3)
(4)
Based on off-normal storage with 105OF average ambient temperature.
Based on off-normal storage with 105OF average ambient temperature.
(3)
Based on accident storage with 40 hours' blocked vent.
Based on accident storage with 40 hours' blocked vent.
(4)
Bounded by hot off-normal storage case.
Bounded by hot off-normal storage case.
(5) An average ambient temperature of 100&deg;F considered within fuel building and no water in DSCITC annulus [4].
(5) An average ambient temperature of 100&deg;F considered within fuel building and no water in DSCITC annulus [4].
(6) Bounded by hot off-normal transfer case @ 20 hrs [16].
(6)
(7) Based on steady-state fire accident transfer result [16].
Bounded by hot off-normal transfer case @ 20 hrs [16].
(7)
Based on steady-state fire accident transfer result [16].
Table 6-2 shows the average temperatures for the 32PHB DSC shell and basket components (including the hottest cross section) for normal, off-normal, and accident storage and transfer conditions.
Table 6-2 shows the average temperatures for the 32PHB DSC shell and basket components (including the hottest cross section) for normal, off-normal, and accident storage and transfer conditions.


Calculation No.: NUH32PHB-0403 Calculation                     Revision No.: 1 AR EVA                                                                                   Page: 41 of 56 Table 6-2     Average 32PHB DSC Component Temperatures Hottest Section   (OF)                         Whole   DSC     (OF)
Calculation No.:
Operating   DescriptionI         R45     R90 (5)       (5) Comp. Shell Bask.
NUH32PHB-0403 Calculation Revision No.:
Comp Rail (6)
1 AR EVA Page:
I Shell Helium (7)
41 of 56 Table 6-2 Average 32PHB DSC Component Temperatures Hottest Section (OF)
Fuel Condition                    (5)  (5)
Whole DSC (OF)
Storage Condition Normal       Cold (1)       345   364     341     348       354     491 298     431     332   256     415   474 Hot(4 )     <440 <453   <431   <437     <438   <574 <390   <518     <423   <353     <501 <557 Off-       Cold           345   364     341     348       354     491 298     431     332   256     415   474 Normal       Hot (2)       440   453     431     437       438     574 390     518     423   353     501   557 Accident   Block Vent (3)       614   619     601     607       589     730 567     674     586   523     657   708 Transfer Condition Normal       Cold   (8)   <449 <464   <439     <439     <398   <575 <387   <532     <446   <373     <516   <566 Hot( 8 )     <449 <464   <439     <439     <398   <575 <387   <532     <446   <373     <516   <566 Off-       Cold (8)     <449 <464   <439     <439     <398   <575 <387   <532     <446   <373     <516   <566 Normal
Operating DescriptionI R45 R90 Bask.
_______  Hot
Rail I
            @ 20104&deg;Fhrs___449    464   439
Helium Fuel Condition (5)
________  439       398   575   387     532     446   373       516   566 Accident     Fire (9)       685   698   678     680     650     799   642     748     670   607       732   778 DSC in Fuel     Vertical TC     440   458   440     458     440     583   395     541     442   385       526   575 Ful @ 20 hrs Building       (10)
(5)
(5)
(5)
Comp.
Shell Comp (6)
Shell (7)
Storage Condition Normal Cold (1) 345 364 341 348 354 491 298 431 332 256 415 474 Hot(4 )  
<440 <453  
<431  
<437  
<438  
<574  
<390  
<518  
<423  
<353  
<501  
<557 Off-Cold 345 364 341 348 354 491 298 431 332 256 415 474 Normal Hot (2) 440 453 431 437 438 574 390 518 423 353 501 557 Accident Block Vent (3) 614 619 601 607 589 730 567 674 586 523 657 708 Transfer Condition Normal Cold (8)  
<449  
<464  
<439  
<439  
<398  
<575  
<387  
<532  
<446  
<373  
<516  
<566 Hot(8)  
<449  
<464  
<439  
<439  
<398  
<575  
<387  
<532  
<446  
<373  
<516  
<566 Off-Cold (8)  
<449  
<464  
<439  
<439  
<398  
<575  
<387  
<532  
<446  
<373  
<516  
<566 Normal Hot 104&deg;F 449 464 439 439 398 575 387 532 446 373 516 566
@ 20 hrs___
Accident Fire (9) 685 698 678 680 650 799 642 748 670 607 732 778 DSC in Fuel Vertical TC 440 458 440 458 440 583 395 541 442 385 526 575 Ful @ 20 hrs Building (10)
Notes: (1) Based on normal storage with 0&deg;F ambient temperature.
Notes: (1) Based on normal storage with 0&deg;F ambient temperature.
(2)   Based on off-normal storage with 105 0 F average ambient temperature.
(2)
(3)   Based on accident storage with 40 hours' blocked vent.
Based on off-normal storage with 1050F average ambient temperature.
(4)   Bounded by hot off-normal storage case.
(3)
Based on accident storage with 40 hours' blocked vent.
(4)
Bounded by hot off-normal storage case.
(5) The locations of the rails are shown in Figure 6-1.
(5) The locations of the rails are shown in Figure 6-1.
(6) Based on maximum average rail temperatures.
(6) Based on maximum average rail temperatures.
(7) Based on all components in the DSC cavity.
(7) Based on all components in the DSC cavity.
(8)     Bounded by hot off-normal transfer case @ 20 hrs [16].
(8)
Bounded by hot off-normal transfer case @ 20 hrs [16].
(9) Based on steady-state fire accident transfer result [16].
(9) Based on steady-state fire accident transfer result [16].
(10)An average ambient temperature of 100OF considered within fuel building and no water in DSC/TC annulus [4].
(10) An average ambient temperature of 100OF considered within fuel building and no water in DSC/TC annulus [4].


Calculation No.: NUH32PHB-0403 Revision No.: 1 Page: 42 of 56 0
Calculation No.:
RO 7
NUH32PHB-0403 Revision No.:
R45Z R90 270 ----
1 Page:
1--                            -90 RISS*
42 of 56 0
                                  \        U.
1--
RO R45 7Z R90 270  
-90 RISS*\\
U.
RIO0 p
RIO0 p
Ido 32PHB Rails Figure 6-1   Location of 32PHB Basket Rails
Ido 32PHB Rails Figure 6-1 Location of 32PHB Basket Rails


Calculation No.: NUH32PHB-0403 Calculation             Revision No.:   1 AR EVA                                                             Page:   43 of 56 Typical temperature plots for 32PHB DSC components with 29.6 kW heat load are shown in Figure 6-2 to Figure 6-7.
Calculation No.:
ANSYS 10.0O1 AtEiS 10.OA1                                       SEP 9 2009 SW 92009                                           15:15:50 15:15:36                                          PLOT NO. 3 PIar NO. 2                                        NODALSOLOUMI STUP-1i NODAL STEE=-1 SCEMr  IC 73U =1 SUB=1                                              TnME=I Tinl-i                                            TEWP SM4 =222. 476 S =256.091                                              =626.106
NUH32PHB-0403 Calculation Revision No.:
                                                                                          -(
1 AR EVA Page: 43 of 56 Typical temperature plots for 32PHB DSC components with 29.6 Figure 6-2 to Figure 6-7.
SMmm256.097
AtEiS 10.OA1 SW 92009 15:15:36 PIar NO. 2 NODAL SCEMr IC STEE=-1 SUB =1 Tinl-i S
                                        =647.712                                        mR222. 416 m299.61                                                267.323 343.123                                            312.171 357.019 430. 148 386.635                                        m401.861 S473 .661                                      m     446.715 517.174                                            536.41 491.562 m     560.686                                            581.258 mlm604.199 647:712                                            626.106 Fuel Cladding Guide Sleeve AK)YS 10.0A1                                   AK)Y 10.1AI SEP 9 2009                                     SEP 92009 15:16:26                                       15:16:34 FIXr NO. 5                                     PILT NO.      6 NODAL SCUTTIGC                                 N STEEI-  SODAIL= NI STEP-I SUB=1                                          SUB =1 TIME=1 IEMF                                           TMW "m =47.274 5"4 =226.168 SW( =371.633                                   SMK=361.945 m47.274 m 226.168                                             82.238
=256.091 SM =647.712 mm256.097 m299.61 343.123 386.635 430. 148 S473.661 517.174 m
                                    - m242.33 258. 493                                       117.201 274. 656
560.686 mlm604.199 647:712 kW heat load are shown in ANSYS 10.0O1 SEP 9 2009 15:15:50 PLOT NO.
* 152.165 mm290.819                                           187.128 306 . 982                                     222.092 323.144                                     E3257.055 m 339.307                                         m292. 018 S355.471 371. 633
3 NODAL SOLOUMI STUP-1i 73U =1 TnME=I TEWP SM4 =222. 476
* 326.982 361.945 Basket Rail                                                       DSC Shell Figure 6-2 Temperature Plots for 32PHB DSC (Normal Storage @ 0&deg;F, 29.6 kW)
-(  
=626.106 mR222. 416 267.323 312.171 357.019 m401.861 m
446.715 491.562 536.41 581.258 626.106 AK)Y 10.1AI SEP 92009 15:16:34 PILT NO.
6 N
SODAIL=
NI STEEI-SUB =1 TMW "m =47.274 SMK =361.945 m47.274 82.238 117.201
* 152.165 187.128 222.092 E3257.055 m292. 018 326.982 361.945 Fuel Cladding Guide Sleeve AK)YS 10.0A1 SEP 9 2009 15:16:26 FIXr NO. 5 NODAL SCUTTIGC STEP-I SUB =1 TIME=1 IEMF 5"4 =226.168 SW( =371.633 m
226.168 m242.33 258. 493 274. 656 mm290.819 306. 982 323.144 m
339.307 S355.471 371. 633 Basket Rail DSC Shell Figure 6-2 Temperature Plots for 32PHB DSC (Normal Storage @ 0&deg;F, 29.6 kW)


Calculation No.: NUH32PHB-0403 Calculation               Revision No.: 1 AR EVA                                                         Page: 44 of 56 AR-S 10.0A1 SEP 9 2009                                         HEYS i0.OAl 15:18:54                                         SEP 9 2009 PTr NO. 12                                         15:19:09 NODAL SOfLMION                                   PLOr NO. 13 STEP=-2                                             MLAI SEJTION 9B =1                                             STEP=2 TIME=2 TEMP                                               SUB =1 TME=2 "4 =348.832
Calculation No.:
                                    =724.161 SHX1348.                                          SM =320.095 832                                   S3X =705.625 390.535                                         l 320.095 362.932 1     432.239                                           405 .769
NUH32PHB-0403 Calculation Revision No.:
                                " 473.942 Imn 515.645                                           *m448 .605 r-1557.348                                           ms491. 442
1 AR EVA Page:
[-1 599.052                                       E    534.279 577.115
44 of 56 AR-S 10.0A1 SEP 9 2009 15:18:54 PTr NO. 12 NODAL SOfLMION STEP=-2 9B =1 TIME=2 TEMP "4 =348.832 SHX =724.161 1348. 832 390.535 1
                                -o 640.755 682.458                                         lS619952 662.7189 724 .161                                          705.,625 Fuel Cladding Guide Sleeve AM'YS 10.lOA                                     ANMYS10.AI SEP 9 2009                                      SEP 9 2009 15:19:46                                         15:19:53 PIT NO. 15                                       PLT NO. 16 NODAL SW=rIcl                                   lUAL SIEP--2SOUJIGN STEP=2                                           S1=i JB =1 TIME=2                                           SUB =1 3MW                                             TIME=2 TMV S   =322.808                                    SM =168. 808 Sb =460.6                                       S4 =436.187 1 322.808 338.119                                     - S198.511 168.808 353.429                                        II 228.226 368:739 384.049
432.239 473.942 Imn 515.645 r-1557.348
* 257.934 Em 287. 643 IS 399.359                                            S317:352
[-1 599.052
                                - 414.669                                      8    347.06
-o 640.755 682.458 724.161 HEYS i0.OAl SEP 9 2009 15:19:09 PLOr NO. 13 MLAI SEJTION STEP=2 SUB =1 TME=2 SM =320.095 S3X =705.625 320.095 l 362.932 405.769
* S445.29 429.98                                        m 376.8769 406.478 460.6                                            436.181 Basket Rail                                                       DSC Shell Figure 6-3 Temperature Plots for 32PHB DSC (Off-Normal Storage @ 104 0 F, 29.6 kW)
*m448.605 ms491. 442 E
534.279 577.115 S619952 l 662.7189 705., 625 Fuel Cladding Guide Sleeve AM'YS 10.lOA SEP 9 2009 15:19:46 PIT NO. 15 NODAL SW=rIcl STEP=2 JB =1 TIME=2 3MW S  
=322.808 Sb =460.6 322.808 1 338.119 353.429 368:739 384.049 IS 399.359 414.669 429.98 S445.29 460.6 ANMYS 10.AI SEP 9 2009 15:19:53 PLT NO. 16 lUAL SOUJIGN SIEP--2 S1=i SUB =1 TIME=2 TMV SM =168. 808 S4 =436.187 168.808 S198.511 II 228.226 257.934 Em 287. 643 S317:352 8
347.06 376.8769 m 406.478 436.181 Basket Rail DSC Shell Figure 6-3 Temperature Plots for 32PHB DSC (Off-Normal Storage @ 1040F, 29.6 kW)


Calculation No.: NUH32PHB-0403 Calculation                   Revision No.: 1 AR EVA                                                             Page: 45 of 56 MM 10.0OA1                                           AIMS 10.0A1 SEP 92009                                             SEP 9 2009 15:22:18                                             15:22:32 PIrTNO. 22                                           PfUT NO. 23 NCDALSOUJTIcU                                        NDAL SOWIOI0K STEP=3                                               STEP=3 S3B =1                                               SUB =1 TIlE-I3                                               TD=3 TEMEI                                                 TEMP 3(     608.223 5                                              3S4 =482.452
Calculation No.:
                                    -867.335
NUH32PHB-0403 Calculation Revision No.:
                                    -,6 508.23                                        9    =853.178 IBS482.452 548. UN                                             523.644
1 AR EVA Page: 45 of 56 MM
* m 627.927 588.026                                         m  564.836 606.027 fu 667 .828                                             647.219 747:631D 707.13                                              729.603 688.411 787 .532                                       IV- 770. 795 827.434                                             811:987 867.335                                             853.178 Fuel Cladding                                                     Guide Sleeve AMYS 10.Al                                           AM 1S 10.lOA SEP 9 2009                                           SEP 9 2009 15:23:08                                             15:23:16 PIDr NO. 25                                         PfLT NO. 26 NCMASCXLrI(N                                         NODAL SOIDTIMM STEP=3                                               STEP=-3 SUB -1                                               SUB =1 TIME-3                                               TIM=3 S34 =480. 331                                       SM( =321.333 S4K -626.411   480.331321.                          S3( =595.133 333 496.5U1                                             351. 755
: 10. 0OA1 AIMS 10.0A1 SEP 92009 SEP 9 2009 15:22:18 15:22:32 PIrTNO.
                                  ] 512:793 529 024                                       IM   382177 259 545 .255                                     i     443.022 561.486 F-1577. 117                                           473.444 r--- 503.866 593.949                                             534.288 610 18                                             56471 626.411                                             595.133 Basket Rail                                                           DSC Shell Figure 6-4 Temperature Plots for 32PHB DSC (Block Vent @ 40 Hour, 29.6 kW)
22 PfUT NO. 23 NCDAL SOUJTIcU NDAL SOWIOI0K STEP=3 STEP=3 S3B =1 SUB =1 TIlE-I3 TD=3 TEMEI TEMP 3(
5 608.223 3S4 =482.452
-,6
-867.335 9
=853.178 508.23 IBS482.452 548. UN 523.644 588.026 564.836 m 627.927 m
606.027 fu 667.828 647.219 707.13 688.411 747:631D 729.603 787.532 IV-770. 795 827.434 811:987 867.335 853.178 Fuel Cladding Guide Sleeve AMYS 10.Al AM 1S 10.lOA SEP 9 2009 SEP 9 2009 15:23:08 15:23:16 PIDr NO. 25 PfLT NO. 26 NCMA SCXLrI(N NODAL SOIDTIMM STEP=3 STEP=-3 SUB -1 SUB =1 TIME-3 TIM=3 S34 =480. 331 SM( =321.333 S4K -626.411 S3( =595.133 480.331321.
333 496.5U1 351. 755 512:793 382177
] 529 024 IM 259 545.255 i
443.022 561.486 473.444 F-1577. 117 r --- 503.866 593.949 534.288 610 18 56471 626.411 595.133 Basket Rail DSC Shell Figure 6-4 Temperature Plots for 32PHB DSC (Block Vent @ 40 Hour, 29.6 kW)


Calculation No.: NUH32PHB-0403 Calculation               Revision No.: 1 AREVA                                                         Page: 46 of 56 MNYS 10.OA1                                     ANM 10.OAI OCr 21 2009                                    OCT 21 2009 23:53:56                                       23:54:10 PLOr NO. 2                                     PLOT NO. 3 NODAL   SWOrIcZI                               NODL SCrEEOl STEP-I    SW710l ST3,=-1 TIME-I                                         SUB =1 TEWP S41 =365.305                                   S4 =356.965 34K S365
Calculation No.:
                                  -728.373 305                                 S34mm356.965
NUH32PHB-0403 Calculation Revision No.:
                                                                                    -709.067 405-646                                         396.088 3-    445.986 486.327
1 AREVA Page:
                                                                                -     435.21 474. 333 526.668                                          513 .455 567.009                                          552.578
46 of 56 MNYS 10.OA1 OCr 21 2009 23:53:56 PLOr NO.
                                -    607.35                                          591.7 630.823 647.691 688.032                                  -      669.945 728.373                                          709.067 Fuel Cladding Guide Sleeve NS 10.0A1                                      A6EYS 10.OAl wEr 21 2009                                    OCr 21 2009 23:54: 46                                      23:54:53 PLOTr NODAL NO. 5 S=ErON                                PLOT NO. 6 NDL S=LfIcZN STEP-I                                        STEP-i S3B TM*IE-1                                       Th4K=1 SUB -1 TEMP SM3-355.661                                          -266.6
2 NODAL SWOrIcZI ST3,=-1 TIME-I TEWP S41 =365.305 34K -728.373 S365 305 405-646 3
                                                                                    -4 SM4-472.105                                    S4    -407.896
445.986 486.327 526.668 567.009 607.35 647.691 688.032 728.373 NS 10.0A1 wEr 21 2009 23:54: 46 PLOTr NO.
                              -    355.661 S368,599                                          266.6 381 .537                                        282.299 297. 999 3      394.476 407.414 313.698 329.398 420.352                                  =3345,098
5 NODAL S=ErON STEP-I S3B -1 TM*IE SM3 -355.661 SM4 -472.105 355.661 S368,599 381.537 3
                                                                                  --I360. 797 433.29 4467228 459.166                                  s       376.497 m 472,.105                                          392.196 407.896 Basket Rail                                                       DSC Shell Figure 6-5 Temperature Plots for 32PHB DSC (Off-Normal Transfer, 104 0F @ 20 Hour, 29.6 kW)
394.476 407.414 420.352 433.29 4467228 459.166 m 472,.105 ANM 10.OAI OCT 21 2009 23:54:10 PLOT NO.
3 NODL SW710l SCrEEOl STEP-I SUB =1 S4
=356.965 S34 -709.067 mm356.965 396.088 435.21 474. 333 513.455 552.578 591.7 630.823 669.945 709.067 A6EYS 10.OAl OCr 21 2009 23:54:53 PLOT NO.
6 NDL S=LfIcZN STEP-i SUB -1 Th4K=1 TEMP
-4
-266.6 S4
-407.896 266.6 282.299 297. 999 313.698 329.398
=3345,098
--I360. 797 s
376.497 392.196 407.896 Fuel Cladding Guide Sleeve Basket Rail DSC Shell Figure 6-5 Temperature Plots for 32PHB DSC (Off-Normal Transfer, 1040F @ 20 Hour, 29.6 kW)


Calculation No.: NUH32PHB-0403 Calculation               Revision No.: 1 AR EVA                                                         Page: 47 of 56 ANnES 10.CA                                         YS 1.O0A4 OCr 22 2009                                     Oar 22 2009 00:00:35                                         00:00:49 PLar NO. 22                                     PLr NO. 23 STP-3                                           STP-3 SUB=1                                           5M =1 TH3 Toe*                                             TwM H=3
Calculation No.:
                                  =410.874
NUH32PHB-0403 Calculation Revision No.:
                                  -                                            S1 -402.47 SW1 =733.422 410.874                                    SHK =715.42 402.47
1 AR EVA Page: 47 of 56 ANnES 10.CA YS 1.O0A4 OCr 22 2009 Oar 22 2009 00:00:35 00:00:49 PLar NO. 22 PLr NO. 23 STP-3 STP-3 SUB =1 5M =1 TH3 H=3 Toe*
                                  *6713 44                                          ll43.242 482:551                                           472.015 0:   5.-90 518.39. 67M                                       576.331 506. 787 S625906 .                                           611.104 661.745                                           645l876 697.583                                           680.648 733.422                                         715.42 Fuel Cladding                                             Guide Sleeve
TwM
: 10. OA1 iN                                      ANMYS   10. OAh OCT 22 2009                                     OCr 22 2009 00:01:26                                         00:01:33 PLr NO. 25                                       P*r NO. 26 NODAL   S     IC                                 NODAL   S9!n170 SIEP-3                                           SIZP=3 am =1                                           S =1 TME=3                                           TDME=3
-=410.874 S1
                                  =402.391
-402.47 SW =733.422 SHK =715.42 1 410.874 402.47 44
                                  -MN                                          " =321.78 H4( =466.123     402      391321.78              -W =397.033 40942.9I                                         330.142 3-    416.554 23.635 338.503 346.864 1 430. 716                                   1   355 .226 437 798 444.879 r
*6713 ll43.242 482:551 472.015 518.39 506. 787 0: 5.-90  
363.587 371. 949 41 1.%                                         380.31 459.042                                         388 672 466.123                                           397.033 Basket Rail                                                     DSC Shell Figure 6-6 Temperature Plots for 32PHB DSC (Vertical Transfer, 100IF @ 20 Hour, 29.6 kW)
. 67M 576.331 S625906.
611.104 661.745 645l876 697.583 680.648 733.422 715.42 Fuel Cladding Guide Sleeve iN
: 10. OA1 ANMYS
: 10. OAh OCT 22 2009 OCr 22 2009 00:01:26 00:01:33 PLr NO. 25 P*r NO. 26 NODAL S
IC NODAL S9!n170 SIEP-3 SIZP=3 am =1 S  
=1 TME=3 TDME=3
-MN
=402.391  
" =321.78 H4( =466.123  
-W =397.033 402 391321.78 40942.9I 330.142 3
416.554 338.503 23.635 346.864 1 430. 716 1
355.226 437 798 363.587 444.879 r
371. 949 41
: 1. %
380.31
* 459.042 388 672 466.123 397.033 Basket Rail DSC Shell Figure 6-6 Temperature Plots for 32PHB DSC (Vertical Transfer, 100IF @ 20 Hour, 29.6 kW)


Calculation No.:   NUH32PHB-0403 Revision No.:   1 Page:   48 of 56 ANSYS10.MAO                                       ANYS 10.01A aWr 21 2009                                        OCT21 2009 23:57: 14                                         23:57:29 PFX NO. 12                                         PLor NO. 13 NODAL SOEJTIC*                                   NODA.L MIEP--2S=CNl~
Calculation No.:
STEE9=2 SJB =1                                             9M  =1 TDME=2 TIME=2 TEWP                                               TEMP SHN=581.712                                         "'!=571.224
NUH32PHB-0403 Revision No.:
                              =932.197 SbWS581. 712                                        ( =919.23 571.224 620- U%                                          i 609. 891 659.597 698 .54                                            648.558 687.226 725. 893 737.483                                            764,56 776.426
1 Page:
                                $315.368 854. 311                                    r'"7 803.228 893:254
48 of 56 ANSYS 10.MAO aWr 21 2009 23:57: 14 PFX NO. 12 NODAL SOEJTIC*
                                                                              -I841.895 880.562 932.197                                            919.23 Fuel Cladding Guide Sleeve ANSYS10.OA1                                       A6N-S 10.0A1 OCT21 2009                                        OCr 21 2009 23:58:06                                           23:58:13 PLOr NO. 15                                       PLOT NO. 16 NODAL STEE--2SOLUTICK                                    NODAL  SCTUIGN SUB -1                                            T]IEE=2 as1 =1 Tn3E-2 TRVB                                               TDMP
STEE9=2 SJB =1 TIME=2 TEWP SHN =581.712 SbW =932.197 S581. 712 620- U%
                          .%V =572.671                                       SM- =444.574 SM4=705.405 572.671                                     S1K -656.082 444.574 581.42                                            468.075 602.168 616.916                                      3     491.575 515.076 631.664                                          mm538.577 646.412                                      EM 562.078
659.597 698.54 737.483 776.426
                              - 661.161                                            585.579 675.909                                      -    609.08 690.657                                      -    632.581 705.405                                            656.082 Basket Rail                                                     DSC Shell Figure 6-7 Temperature Plots for 32PHB DSC (Fire Accident Transfer, 29.6 kW)
$3 15.368 854. 311 893:254 932.197 ANYS 10.01A OCT 21 2009 23:57:29 PLor NO. 13 NODA.L S=CNl~
MIEP--2 9M =1 TDME=2 TEMP
=571.224
( =919.23 571.224 i 609. 891 648.558 687.226 725. 893 764,56 r'"7 803.228
-I841.895 880.562 919.23 Fuel Cladding Guide Sleeve ANSYS 10.OA1 OCT 21 2009 23:58:06 PLOr NO. 15 NODAL SOLUTICK STEE--2 SUB -1 Tn3E-2 TRVB
.%V =572.671 SM4 =705.405 572.671 581.42 602.168 616.916 631.664 646.412 661.161 675.909 690.657 705.405 A6N-S 10.0A1 OCr 21 2009 23:58:13 PLOT NO. 16 NODAL SCTUIGN T]IEE=2 as1 =1 TDMP SM- =444.574 S1K -656.082 444.574 468.075 3
491.575 515.076 mm538.577 EM 562.078 585.579 609.08 632.581 656.082 Basket Rail DSC Shell Figure 6-7 Temperature Plots for 32PHB DSC (Fire Accident Transfer, 29.6 kW)


Calculation No.:     NUH32PHB-0403 Calculation                         Revision No.:     1 AR EVA                                                                               Page:       49 of 56
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NUH32PHB-0403 Calculation Revision No.:
==7.0    CONCLUSION==
1 AR EVA Page:
49 of 56


==7.0 CONCLUSION==
The maximum fuel cladding temperatures for 32PHB DSC storage in HSM-HB and transfer in the CCNPP-FC TC are shown in Table 7-1.
The maximum fuel cladding temperatures for 32PHB DSC storage in HSM-HB and transfer in the CCNPP-FC TC are shown in Table 7-1.
Table 7-1     Maximum Fuel Cladding Temperatures for Storage and Transfer Conditions Operating               Description           Fuel Cladding         Limit Condition                                         Tmax             Tlimit (OF)             (OF)
Table 7-1 Maximum Fuel Cladding Temperatures for Storage and Transfer Conditions Operating Description Fuel Cladding Limit Condition Tmax Tlimit (OF)
Normal             Cold (1)               648           752 [3, 4]
(OF)
Hot (4)                 <724 Off-             Cold (1)                 648 Storage   Normal             Hot (2)                 724           1058 [3, 4]
Normal Cold (1) 648 752 [3, 4]
Accident       Block Vent (3)               867 Normal             Cold (6)               <728         752 [3, 4]
Hot (4)  
Hot 6( )                 <728 Off-             Cold (6)               <728 0
<724 Off-Cold (1) 648 Storage Normal Hot (2) 724 1058 [3, 4]
Transfer   Normal     Hot 104 F @ 20 hrs               728         1058 (3, 4]
Accident Block Vent (3) 867 Normal Cold (6)  
Accident           Fire (7)                 932 DSC in Vertical TC Within Fuel Building       @ 20 hrs (5)                 733           752 [3, 4]
<728 752 [3, 4]
0 Notes: (1) Based on normal storage with 0 F ambient temperature.
Hot (6)  
(2) Based on off-normal storage with 105OF average ambient temperature.
<728 Off-Cold (6)  
(3) Based on accident storage with 40 hours' blocked vent.
<728 Transfer Normal Hot 104 0F @ 20 hrs 728 1058 (3, 4]
(4) Bounded by hot off-normal storage case.
Accident Fire (7) 932 DSC in Vertical TC Within Fuel Building  
(5) An average ambient temperature of 100OF considered within fuel building and no water in DSC/TC annulus [4].
@ 20 hrs (5) 733 752 [3, 4]
(6) Bounded by hot off-normal transfer case @ 20 hrs [16].
Notes: (1) Based on normal storage with 00F ambient temperature.
(7) Based on steady-state fire accident transfer result [16].
(2)
Based on off-normal storage with 105OF average ambient temperature.
(3)
Based on accident storage with 40 hours' blocked vent.
(4)
Bounded by hot off-normal storage case.
(5)
An average ambient temperature of 100OF considered within fuel building and no water in DSC/TC annulus [4].
(6)
Bounded by hot off-normal transfer case @ 20 hrs [16].
(7)
Based on steady-state fire accident transfer result [16].
As seen from Table 7-1, the maximum fuel cladding temperatures calculated for storage and transfer conditions are lower than the allowable limits.
As seen from Table 7-1, the maximum fuel cladding temperatures calculated for storage and transfer conditions are lower than the allowable limits.
The maximum component temperatures of 32PHB DSC for normal, off-normal, and accident storage conditions are summarized in Table 7-2. All materials can be subjected to a minimum environment temperature of -80 F (-220C) without any adverse effects.
The maximum component temperatures of 32PHB DSC for normal, off-normal, and accident storage conditions are summarized in Table 7-2. All materials can be subjected to a minimum environment temperature of -80F (-220C) without any adverse effects.


A                                       Calculation Calculation No.:
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NUH32PHB-0403 1
50 of 56 Table 7-2 Maximum Basket Component Temperatures Basket DSC Al/Poison
50 of 56 AREVA Table 7-2         Maximum Basket Component Temperatures Basket         DSC     Al/Poison   [Basket Top Shield     Bottom Operating             Description       (Compartment)     (Shell)     Plate     Rails     Plug     Shield Plug Condition                                     Tmax         Tmax       Tmax       Tmax     Tmax         Tmax (OF)           OF         (IF)     (IF)     (IF)   .    (F)
[Basket Top Shield Bottom Operating Description (Compartment)
Normal         Cold (1)             626           362         626       372       63           170 Hot (4)             <706         <436       <705       <461     <185         <273 Off-         Cold (1)             626           362         626       372       63           170 Storage     Normal           Hot (2)             706           436         705       461       185           273 Accident     Block Vent (3)         853           595         853       626       344           496 Normal         Cold (6)             <709         <408       <708       <472     <346         <358 Hot (6)             <709         <408       <708       <472     <346         <358 Transfer       Off-         Cold (6)             <709         <408       <708       <472     <346         <358 Normal   Hot 1040 F@ 20 hrs         709           408         708       472       346           358 Accident         Fire (7)           919           656         919       705       560           570 DSC in Vertical TC Within Fuel Building       @20 hrs (5)             715           397         715       466       348           365 Notes: (1) Based on normal storage with 0&deg;F ambient temperature.
(Shell)
(2)   Based on off-normal storage with 105 0 F average ambient temperature.
Plate Rails Plug Shield Plug Condition Tmax Tmax Tmax Tmax Tmax Tmax (OF)
(3)   Based on accident storage with 40 hours' blocked vent.
OF (IF)
(4)   Bounded by hot off-normal storage case.
(IF)
(5)   An average ambient temperature of 1 00&deg;F considered within fuel building and no water in DSC/TC annulus [4].
(IF)
(6)   Bounded by hot off-normal transfer case @ 20 hrs [16].
(F)
(7)   Based on steady-state fire accident transfer result [16].
Normal Cold (1) 626 362 626 372 63 170 Hot (4)  
The maximum temperatures for top and bottom shield plugs are below lead melting temperature limit of 6620 F [4]. All design criteria specified in Section 4.2 are herein satisfied.
<706  
<436  
<705  
<461  
<185  
<273 Off-Cold (1) 626 362 626 372 63 170 Storage Normal Hot (2) 706 436 705 461 185 273 Accident Block Vent (3) 853 595 853 626 344 496 Normal Cold (6)  
<709  
<408  
<708  
<472  
<346  
<358 Hot (6)  
<709  
<408  
<708  
<472  
<346  
<358 Transfer Off-Cold (6)  
<709  
<408  
<708  
<472  
<346  
<358 Normal Hot 1040F@ 20 hrs 709 408 708 472 346 358 Accident Fire (7) 919 656 919 705 560 570 DSC in Vertical TC Within Fuel Building  
@20 hrs (5) 715 397 715 466 348 365 Notes: (1) Based on normal storage with 0&deg;F ambient temperature.
(2)
Based on off-normal storage with 1050F average ambient temperature.
(3)
Based on accident storage with 40 hours' blocked vent.
(4)
Bounded by hot off-normal storage case.
(5)
An average ambient temperature of 1 00&deg;F considered within fuel building and no water in DSC/TC annulus [4].
(6)
Bounded by hot off-normal transfer case @ 20 hrs [16].
(7)
Based on steady-state fire accident transfer result [16].
The maximum temperatures for top and bottom shield plugs are below lead melting temperature limit of 6620F [4]. All design criteria specified in Section 4.2 are herein satisfied.


Calculation No.: NUH32PHB-0403 Revision No.: 1 Page: 51 of 56 The effective thermal properties for 32PHB basket are summarized in Table 7-3.
Calculation No.:
Table 7-3       Effective Thermal Properties for 32PHB Basket Basket OD =         66.0" Basket length =      158.0" Temperature         . kbasket, rad   Temperature   kbasket, axi     Temperature.     Cpeffbasket (OF)         (Btu/hr-in-&deg;F)       (OF)   (Btu/hr-in-&deg;F)           (OF)     (Btu/Ibm-&deg;F) 315               0.151             100       1.9946                 70         0.095 403               0.160             200       2.0393               100         0.096 492               0.169             300       2.0760               200         0.098 581               0.179             400       2.1055               300         0.099 672               0.189             500       2.1160               400         0.100 763               0.199             600       2.1228               500         0.101 855               0.209             700       2.1297               600         0.101 949               0.218             800       2.1355               700         0.101 1045               0.224             900       2.1418               800           0.101 1143               0.227           1000       2.1474               900           0.102 Peffbasket           0.1308           Ibm/in 3                          1000           0.102
NUH32PHB-0403 Revision No.:
1 Page:
51 of 56 The effective thermal properties for 32PHB basket are summarized in Table 7-3.
Table 7-3 Effective Thermal Properties for 32PHB Basket Basket OD =
Basket length =
66.0" 158.0" Temperature kbasket, rad Temperature kbasket, axi Temperature.
Cpeffbasket (OF)
(Btu/hr-in-&deg;F)
(OF)
(Btu/hr-in-&deg;F)
(OF)
(Btu/Ibm-&deg;F) 315 0.151 100 1.9946 70 0.095 403 0.160 200 2.0393 100 0.096 492 0.169 300 2.0760 200 0.098 581 0.179 400 2.1055 300 0.099 672 0.189 500 2.1160 400 0.100 763 0.199 600 2.1228 500 0.101 855 0.209 700 2.1297 600 0.101 949 0.218 800 2.1355 700 0.101 1045 0.224 900 2.1418 800 0.101 1143 0.227 1000 2.1474 900 0.102 Peffbasket 0.1308 Ibm/in3 1000 0.102


Calculation No.:     NUH32PHB-0403 Calculation                       Revision No.:     1 AR EVA                                                                                 Page:   52 of 56 8.0     LISTING OF COMPUTER FILES A summary of ANSYS runs is listed in Table 8-1. All the runs are performed using ANSYS version 10.0 [15] with operating system "Linux RedHat ES 5.1", and CPU "Opteron 275 DC 2.2 GHz" / "Xeon 5160 DC 3.0 GHz".
Calculation No.:
Table 8-1       Summary of ANSYS Runs Run Name                     Description                                                             Date / Time Load 1 Normal Storage Conditions, 0&deg;F ambient, 29.6 kW 32PHBSTB1M           Load 2 Off-Normal Storage Conditions, 104 0 F ambient, 29.6 kW             09/09/09     03:24 PM Load 3 Accident Storage Conditions, Block Vent @ 40 hrs, 29.6 kW Load 1 Off-Normal Transfer Conditions @ 20 hrs, 1040 F ambient, 29.6 kW 32PHB_TC2M           Load 2 Fire Accident Transfer Conditions @ Steady-State, 29.6 kW           10/22/09     00:02 AM Load 3 Vertical Transfer Conditions @ 20 hrs, 29.6 kW 32PHBRadialKeff               Effective conductivity for 32PHB basket in radial direction       09/16/09     06:00 PM 32PHBAxialKeff               Effective conductivity for 32PHB basket in axial direction       09/14/09     10:50 AM A list of the macro files to map the DSC shell temperature from 61 BTH DSC with 31.2 kW [11] is shown in Table 8-2.
NUH32PHB-0403 Calculation Revision No.:
Table 8-2       List of Macro Files to Map DSC Shell Temperatures from 61 BTH DSC [11]
1 AR EVA Page:
File Name                     Description                                   Date / Time (Input and Output)                                                       for Output File Normal storage shell temp - 32PHB DSC model, 29.6 kW @ 0&deg;F Off-Normal storage shell temp -
52 of 56 8.0 LISTING OF COMPUTER FILES A summary of ANSYS runs is listed in Table 8-1. All the runs are performed using ANSYS version 10.0 [15] with operating system "Linux RedHat ES 5.1", and CPU "Opteron 275 DC 2.2 GHz" / "Xeon 5160 DC 3.0 GHz".
TempMapST31                   32PHB DSC model, 29.6 kW @               07/13/09 08:52 AM 105 0F Accident storage shell temp -
Table 8-1 Summary of ANSYS Runs Run Name Description Date / Time Load 1 Normal Storage Conditions, 0&deg;F ambient, 29.6 kW 32PHBSTB1M Load 2 Off-Normal Storage Conditions, 104 0F ambient, 29.6 kW 09/09/09 03:24 PM Load 3 Accident Storage Conditions, Block Vent @ 40 hrs, 29.6 kW Load 1 Off-Normal Transfer Conditions @ 20 hrs, 1040F ambient, 29.6 kW 32PHB_TC2M Load 2 Fire Accident Transfer Conditions @ Steady-State, 29.6 kW 10/22/09 00:02 AM Load 3 Vertical Transfer Conditions @ 20 hrs, 29.6 kW 32PHBRadialKeff Effective conductivity for 32PHB basket in radial direction 09/16/09 06:00 PM 32PHBAxialKeff Effective conductivity for 32PHB basket in axial direction 09/14/09 10:50 AM A list of the macro files to map the DSC shell temperature from 61 BTH DSC with 31.2 kW [11] is shown in Table 8-2.
Table 8-2 List of Macro Files to Map DSC Shell Temperatures from 61 BTH DSC [11]
File Name Description Date / Time (Input and Output) for Output File Normal storage shell temp - 32PHB DSC model, 29.6 kW @ 0&deg;F Off-Normal storage shell temp -
TempMapST31 32PHB DSC model, 29.6 kW @
07/13/09 08:52 AM 105 0F Accident storage shell temp -
32PHB DSC model, 29.6 kW, Block Vent @ 40 hrs A list of the files to create geometries for 32PHB DSC is shown in Table 8-3.
32PHB DSC model, 29.6 kW, Block Vent @ 40 hrs A list of the files to create geometries for 32PHB DSC is shown in Table 8-3.


Calculation No.:   NUH32PHB-0403 Calculation                       Revision No.:   1 AR EVA                                                                         Page:   53 of 56 Table 8-3     List of 32PHB DSC Geometry Generation Files File Name                                                                               Date I Time (Input and Output)                       Description                                 for Output File 32PHBModel         Creates geometry for 32PHB DSC (14x14 for FA mesh)             07/10/09     07:49 PM ANSYS macros, and associated files used in this calculation are shown in Table 8-4.
Calculation No.:
Table 8-4       Associated Files and Macros File Name                                     Description                                   Date I Time 32PHBTCOFNTRANS_20hrMap.cbdo [16]             Off-normal transfer shell temperature     10/21/09 05:44 PM profile @ 20 hrs from Transfer Cask model [16].
NUH32PHB-0403 Calculation Revision No.:
32PHBTCVERTTRANS_20hrMap.cbdo [16]             Vertical transfer shell temperature       10/21/09 05:49 PM profile @ 20 hrs from Transfer Cask model [16].
1 AR EVA Page:
32PHBTCACC NSMap.cbdo [16]                     Fire accident.transfer shell             10/21/09 06:00 PM temperature profile @ steady state from Transfer Cask model [16].
53 of 56 Table 8-3 List of 32PHB DSC Geometry Generation Files File Name Date I Time (Input and Output)
32PHBMat1.inp                                   Material properties for 32PHB DSC         09/09/09 09:54 AM with Helium 32PHBHLZC2.MAC                                 Heat generation for 32PHB DSC,           09/03/09 08:56 AM 29.6 kW Macro                                         Macro to get Maximum/Minimum             05/20/05 12:03 PM temperatures Results.mac                                   Macro to list maximum and average 32PHB DSC component                       07/22/09   11:52 AM temperatures The spreadsheets used in this calculation are listed in Table 8-5.
Description for Output File 32PHBModel Creates geometry for 32PHB DSC (14x14 for FA mesh) 07/10/09 07:49 PM ANSYS macros, and associated files used in this calculation are shown in Table 8-4.
Table 8-4 Associated Files and Macros File Name Description Date I Time 32PHBTCOFNTRANS_20hrMap.cbdo [16]
Off-normal transfer shell temperature 10/21/09 05:44 PM profile @ 20 hrs from Transfer Cask model [16].
32PHBTCVERTTRANS_20hrMap.cbdo [16]
Vertical transfer shell temperature 10/21/09 05:49 PM profile @ 20 hrs from Transfer Cask model [16].
32PHBTCACC NSMap.cbdo [16]
Fire accident.transfer shell 10/21/09 06:00 PM temperature profile @ steady state from Transfer Cask model [16].
32PHBMat1.inp Material properties for 32PHB DSC 09/09/09 09:54 AM with Helium 32PHBHLZC2.MAC Heat generation for 32PHB DSC, 09/03/09 08:56 AM 29.6 kW Macro Macro to get Maximum/Minimum 05/20/05 12:03 PM temperatures Results.mac Macro to list maximum and average 32PHB DSC component 07/22/09 11:52 AM temperatures The spreadsheets used in this calculation are listed in Table 8-5.


A                           Calculation Calculation No.:
A AREVA Calculation Calculation No.:
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NUH32PHB-0403 1
54 of 56 Table 8-5 List of Spreadsheets File Name Description Date / Time 32PHB-lnput.xls Peaking factors and material properties for 11/10/09 03:13 PM 32PHB DSC 32PHBBasketProp.xls 32PHB basket effective properties 11/10/09 03:29 PM hotgap_32PHB.xls Hot gap between 32PHB basket rail/DSC shell 11/03/09 11:04 AM
54 of 56 AREVA Table 8-5       List of Spreadsheets File Name           Description                                               Date / Time 32PHB-lnput.xls     Peaking factors and material properties for         11/10/09       03:13 PM 32PHB DSC 32PHBBasketProp.xls 32PHB basket effective properties                   11/10/09       03:29 PM hotgap_32PHB.xls   Hot gap between 32PHB basket rail/DSC shell         11/03/09       11:04 AM


Calculation No.: NUH32PHB-0403 Calculation                     Revision No.: 1 AR EVA                                                                               Page: 55 of 56 APPENDIX A               JUSTIFICATION OF HOT GAP BETWEEN BASKET AND DSC SHELL A.1       Hot Gap for 32PHB DSC Based on sketch NUH32PHB-30-7, Note 8 [7], a nominal diametrical cold gap of 0.375" is considered between the basket and the 32PHB DSC shell. The nominal DSC inner diameter (ID) is 66.0". The nominal basket outer diameter (OD) is then 65.625".
Calculation No.:
NUH32PHB-0403 Calculation Revision No.:
1 AR EVA Page:
55 of 56 APPENDIX A JUSTIFICATION OF HOT GAP BETWEEN BASKET AND DSC SHELL A.1 Hot Gap for 32PHB DSC Based on sketch NUH32PHB-30-7, Note 8 [7], a nominal diametrical cold gap of 0.375" is considered between the basket and the 32PHB DSC shell. The nominal DSC inner diameter (ID) is 66.0". The nominal basket outer diameter (OD) is then 65.625".
The average temperatures for the basket, aluminum rails, and shell at the hottest cross section for hot off-normal transfer condition are considered to calculate the nominal hot gap size at thermal equilibrium. The average temperatures are listed in Table A-1.
The average temperatures for the basket, aluminum rails, and shell at the hottest cross section for hot off-normal transfer condition are considered to calculate the nominal hot gap size at thermal equilibrium. The average temperatures are listed in Table A-1.
Table A-1         Average Temperatures at Hottest Cross Section for 32PHB DSC Component                                     Hot Off-Normal Transfer @
Table A-1 Average Temperatures at Hottest Cross Section for 32PHB DSC Component Hot Off-Normal Transfer @
20 hrs Tava (OF)
20 hrs Tava (OF)
Basket (compartments & wrap plates only)                   575 Al Rail @ 0 degree                                         449 Al Rail @ 180 degree                                       398 DSC Shell                                                   387 The hot dimensions of the basket OD and DSC ID are calculated as follows.
Basket (compartments & wrap plates only) 575 Al Rail @ 0 degree 449 Al Rail @ 180 degree 398 DSC Shell 387 The hot dimensions of the basket OD and DSC ID are calculated as follows.
The outer diameter of the hot basket is:
The outer diameter of the hot basket is:
ODB,hot     = ODB + [Lss,B x OXSS,B (Tavg,B -   Tref)] +
ODB,hot  
LRail x [QAI,0 (Tavg,RO - Tref)+ tAI,180 (Tavg,R180 - Tref)]
= ODB + [Lss,B x OXSS,B (Tavg,B - Tref)] +
LRail x [QAI,0 (Tavg,RO - Tref)+
tAI,180 (Tavg,R180 - Tref)]
Where:
Where:
ODB,hot = hot OD of the basket, ODB = nominal cold OD of the basket
ODB,hot = hot OD of the basket, ODB = nominal cold OD of the basket
              = 66.0" - 0.375" = 65.625",
= 66.0" - 0.375" = 65.625",
LSSB   = width of basket at 0-180 direction
LSSB = width of basket at 0-180 direction
              = 12 x guide sleeve width (0.1874") +
= 12 x guide sleeve width (0.1874") +
6 x compartment width (8.5") +
6 x compartment width (8.5") +
7 x basket plate thickness (0.25")
7 x basket plate thickness (0.25")
                = 12*0.1874+6*8.5+7*0.25 L 54.999",
= 12*0.1874+6*8.5+7*0.25 L 54.999",
LRail = width of aluminum rail = (ODB - LSS,B)/2 = 5.313",
LRail = width of aluminum rail = (ODB -
LSS,B)/2 = 5.313",
aSS,B = Average stainless steel axial coefficient of thermal expansion (in/in-&deg;F, interpolated using data in [9] Table TE-1),
aSS,B = Average stainless steel axial coefficient of thermal expansion (in/in-&deg;F, interpolated using data in [9] Table TE-1),
OxAI = Average aluminum coefficient of thermal expansion (in/in-&deg;F, interpolated using data in [9] Table TE-2),
OxAI = Average aluminum coefficient of thermal expansion (in/in-&deg;F, interpolated using data in [9] Table TE-2),
Tavg,B = Average basket temperature at the hottest cross section, see Table A-1 (OF),
Tavg,B = Average basket temperature at the hottest cross section, see Table A-1 (OF),


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56 of 56 AREVA Tavg,RO =   Average Al rail temperature at the hottest cross section at 0 degree orientation, see Table A-1 (OF),
56 of 56 Tavg,RO = Average Al rail temperature at the hottest cross section at 0 degree orientation, see Table A-1 (OF),
Tavg,R180 = Average Al rail temperature at the hottest cross section at 180 degree orientation, see Table A-1 (OF),
Tavg,R180 = Average Al rail temperature at the hottest cross section at 180 degree orientation, see Table A-1 (OF),
Tref = reference temperature for stainless steel and aluminum alloys = 70&deg;F [9].
Tref = reference temperature for stainless steel and aluminum alloys = 70&deg;F [9].
The inner diameter of the hot DSC shell is:
The inner diameter of the hot DSC shell is:
IDcAN, hot = IDcAN [11 +   oESS, CAN (Tavg, CAN - Tref)]
IDcAN, hot = IDcAN [11 + oESS, CAN (Tavg, CAN - Tref)]
Where:
Where:
IDCAN, hot =   Hot ID of DSC shell, IDCAN = Cold ID of DSC shell = 66.0",
IDCAN, hot = Hot ID of DSC shell, IDCAN = Cold ID of DSC shell = 66.0",
oSS, CAN = Average stainless steel axial coefficient of thermal expansion (in/in-&deg;F, interpolated using data in [9] Table TE-1),
oSS, CAN = Average stainless steel axial coefficient of thermal expansion (in/in-&deg;F, interpolated using data in [9] Table TE-1),
Tavg, CAN = Average DSC shell temperature at hottest cross section, see Table A-1 (OF),
Tavg, CAN = Average DSC shell temperature at hottest cross section, see Table A-1 (OF),
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Ghot = IDCAN, hot - ODB,hot
Ghot = IDCAN, hot - ODB,hot
* The diametrical hot gap at the hottest cross section is calculated for 29.6 kW maximum heat loads in 32PHB basket to bound the problem. The calculated hot gap is listed in Table A-2.
* The diametrical hot gap at the hottest cross section is calculated for 29.6 kW maximum heat loads in 32PHB basket to bound the problem. The calculated hot gap is listed in Table A-2.
Table A-2         Diametrical Hot Gap in 32PHB DSC 29.6 kW Heat Load,         Off-Normal Transfer     @ 104 0 F Ambient Cold dimension         Temp     (xx10- 6 (1)     AL       Hot dimension (in)             (OF)     (in/in/&deg;F)       (in)           (in)
Table A-2 Diametrical Hot Gap in 32PHB DSC 29.6 kW Heat Load, Off-Normal Transfer  
Basket width                     54.999             575       9.775         0.271         55.270 Large rail @ 00                   5.313             449       13.796         0.028         5.341 Large rail @ 1800                 5.313             398       13.592         0.024         5.337 Basket OD                         65.625                                   1               65.948 DSC shell ID                     66.00             387       9.461       0. 198         66.198 Gap                               0.375                                                     0.25 Note: (1) The average thermal expansion coefficient is calculated by interpolation using data in
@ 1040F Ambient Cold dimension Temp (xx10-6 (1)
AL Hot dimension (in)
(OF)
(in/in/&deg;F)
(in)
(in)
Basket width 54.999 575 9.775 0.271 55.270 Large rail @ 00 5.313 449 13.796 0.028 5.341 Large rail @ 1800 5.313 398 13.592 0.024 5.337 Basket OD 65.625 1
65.948 DSC shell ID 66.00 387 9.461
: 0. 198 66.198 Gap 0.375 0.25 Note: (1) The average thermal expansion coefficient is calculated by interpolation using data in
[9] Table TE-1 Group 3 for stainless steel and Table TE-2 for aluminum.
[9] Table TE-1 Group 3 for stainless steel and Table TE-2 for aluminum.
A uniform diametrical hot gap of 0.27" is considered in the model between the basket and the DSC shell. This assumption is conservative since the hot gap calculated in Table A-2 is smaller than the assumed gap of 0.27".
A uniform diametrical hot gap of 0.27" is considered in the model between the basket and the DSC shell. This assumption is conservative since the hot gap calculated in Table A-2 is smaller than the assumed gap of 0.27".


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25 of 56 The effective thermal properties for the basket components in 32PHB DSC model are listed in Table 5-3 through Table 5-8.
25 of 56 AREVA The effective thermal properties for the basket components in 32PHB DSC model are listed in Table 5-3 through Table 5-8.
Table 5-3 Effective Thermal Conductivities for 0.02" Al/Poison Contact Gap (Mat 19/29)
Table 5-3     Effective Thermal Conductivities for 0.02" Al/Poison Contact Gap (Mat 19/29)
Cavity Gas -Helium Cavity Gas - Nitrogen Temp Keff,parallel Keff,across Temp Keff,parallel Keffacross (OF)
Cavity Gas -Helium                                               Cavity Gas - Nitrogen Temp           Keff,parallel             Keff,across           Temp           Keff,parallel         Keffacross (OF)       (Btu/hr-in-OF)             (Btu/hr-in-&deg;F)             (OF)       (Btu/hr-in-&deg;F)         (Btu/hr-in-&deg;F) 80           3.600E-03                 1.440E-02               200           7.326E-04             2.930E-03 260         4.300E-03                   1.720E-02               300           8.177E-04             3.271E-03 440           5.100E-03                 2.040E-02               400           8.981E-04             3.592E-03 620           5.950E-03                 2.380E-02               500           9.745E-04             3.898E-03 980           7.400E-03                 2.960E-02               600           1.048E-03             4.191E-03 1340           8.700E-03                 3.480E-02               700           1.118E-03             4.472E-03 1430           9.050E-03                 3.620E-02               800           1.186E-03             4.743E-03 900           1.251 E-03           5.005E-03 1000     j   1.315E-03         j   5.259E-03 1100     1   1.376E-03             5.506E-03 Table 5-4       Effective Thermal Properties for Guide Sleeve (Mat 31/32)
(Btu/hr-in-OF)
Temp                   KeffparalleI             Keffacross           p                     Cp (OF)             (Btu/hr-in-&deg;F)           (Btu/hr-in-&deg;F)       (Ibm/in 3)           (Btu/Ib-&deg;F) 70                   0.802                   0.640                                   0.114 100                   0.812                   0.648                                   0.114 200                   0.868                   0.692                                   0.119 300                   0.914                   0.730                                   0.122 400                   0.970                   0.774                                   0.126 500                   1.017                   0.811             0.290                 0.128 600                   1.054                   0.841                                   0.130 700                   1.101                   0.878                                   0.132 800                   1.138                   0.908                                   0.132 900                   1.185                   0.945                                   0.134 1000                   1.231                   0.983                                   0.136
(Btu/hr-in-&deg;F)
(OF)
(Btu/hr-in-&deg;F)
(Btu/hr-in-&deg;F) 80 3.600E-03 1.440E-02 200 7.326E-04 2.930E-03 260 4.300E-03 1.720E-02 300 8.177E-04 3.271E-03 440 5.100E-03 2.040E-02 400 8.981E-04 3.592E-03 620 5.950E-03 2.380E-02 500 9.745E-04 3.898E-03 980 7.400E-03 2.960E-02 600 1.048E-03 4.191E-03 1340 8.700E-03 3.480E-02 700 1.118E-03 4.472E-03 1430 9.050E-03 3.620E-02 800 1.186E-03 4.743E-03 900 1.251 E-03 5.005E-03 1000 j
1.315E-03 j 5.259E-03 1100 1 1.376E-03 5.506E-03 Table 5-4 Effective Thermal Properties for Guide Sleeve (Mat 31/32)
Temp KeffparalleI Keffacross p
Cp (OF)
(Btu/hr-in-&deg;F)
(Btu/hr-in-&deg;F)
(Ibm/in 3)
(Btu/Ib-&deg;F) 70 0.802 0.640 0.114 100 0.812 0.648 0.114 200 0.868 0.692 0.119 300 0.914 0.730 0.122 400 0.970 0.774 0.126 500 1.017 0.811 0.290 0.128 600 1.054 0.841 0.130 700 1.101 0.878 0.132 800 1.138 0.908 0.132 900 1.185 0.945 0.134 1000 1.231 0.983 0.136


Calculation No.:     NUH32PHB-0403 Calculation                     Revision No.:   1 AR EVA                                                                         Page:     26 of 56 Table 5-5   Effective Thermal Properties for Basket Stainless Steel Plate (Mat 41/42)
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Temp             Keffparallel     Keff'across           P 3           Cp (OF)       (Btu/hr-in-0 F)   (Btu/hr-in-&deg;F)     (Ibm/in)         (Btu/Ib-&deg;F) 70               0.956           0.537                             0.114 100               0.967           0.543                             0.114 200               1.034           0.581.                           0.119 300               1.090           0.612                             0.122 400               1.156           0.650                             0.126 500               1.212           0.681           0.290           0.128 600               1.256           0.706                             0.130 700               1.312           0.737                             0.132 800               1.356           0.762                             0.132 900               1.412           0.793                             0.134 1000               1.467           0.825                             0.136 Table 5-6     Effective Thermal Properties for Al/Poison Plate (Mat 53/54)
NUH32PHB-0403 Calculation Revision No.:
Notes: (1)         Minimum thermal conductivities assumed in the model.
1 AR EVA Page:
(2)         Based on the values of All 100 at 200OF from Table 4-4.
26 of 56 Table 5-5 Effective Thermal Properties for Basket Stainless Steel Plate (Mat 41/42)
Table 5-7     Effective Thermal Properties for Basket All 100 Plate (Mat 55/56)
Temp Keffparallel Keff'across P
Temp         Keff,parallel       Keffacross           p)             Cp (OF)     (Btu/hr-in-&deg;F)       (Btu/hr-in-&deg;F)     (Ibm/in 3)     (Btu/Ibm-&deg;F) 70         14.797               8.314                             0.214 100         14.652               8.233                             0.216 150         14.452               8.121                             0.219 200         14.285               8.027           0.098           0.222 250         14.152               7.952                             0.224 300         14.030               7.883                             0.227 350         13.930               7.827                             0.229 400         13.841               7.777                             0.232
3 Cp (OF)
(Btu/hr-in-0 F)
(Btu/hr-in-&deg;F)
(Ibm/in)
(Btu/Ib-&deg;F) 70 0.956 0.537 0.114 100 0.967 0.543 0.114 200 1.034 0.581.
0.119 300 1.090 0.612 0.122 400 1.156 0.650 0.126 500 1.212 0.681 0.290 0.128 600 1.256 0.706 0.130 700 1.312 0.737 0.132 800 1.356 0.762 0.132 900 1.412 0.793 0.134 1000 1.467 0.825 0.136 Table 5-6 Effective Thermal Properties for Al/Poison Plate (Mat 53/54)
Notes: (1)
Minimum thermal conductivities assumed in the model.
(2)
Based on the values of All 100 at 200OF from Table 4-4.
Table 5-7 Effective Thermal Properties for Basket All 100 Plate (Mat 55/56)
Temp Keff,parallel Keffacross p)
Cp (OF)
(Btu/hr-in-&deg;F)
(Btu/hr-in-&deg;F)
(Ibm/in3)
(Btu/Ibm-&deg;F) 70 14.797 8.314 0.214 100 14.652 8.233 0.216 150 14.452 8.121 0.219 200 14.285 8.027 0.098 0.222 250 14.152 7.952 0.224 300 14.030 7.883 0.227 350 13.930 7.827 0.229 400 13.841 7.777 0.232


A                          Calculation Calculation No.:
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NUH32PHB-0403 A
NUH32PHB-0403 1
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AR EVA                                                           Page: 27 of 56 Table 5-8     Effective Thermal Properties for DSC-Rail Gap (Mat 72)
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Cavity Gas -Helium                       Cavity Gas - Nitrogen Temp         Keff,parallel   Keff,across Temp         Keff,parallel     Keffacross (OF)     (Btu/hr-in-&deg;F)   (Btu/hr-in-&deg;F) (OF)     (Btu/hr-in-&deg;F)   (Btu/hr-in-&deg;F) 80       6.480E-03       8.000E-03     200       1.319E-03       1.628E-03 260       7.740E-03       9.556E-03     300       1.472E-03       1.817E-03 440       9.180E-03       1.133E-02     400       1.617E-03       1.996E-03 620       1.071E-02       1.322E-02     500       1.754E-03       2.166E-03 980       1.332E-02       1.644E-02     600       1.886E-03       2.328E-03 1340       1.566E-02       1.933E-02     700       2.012E-03       2.484E-03 1430       1.629E-02       2.011E-02     800       2.134E-03       2.635E-03 900       2.252E-03       2.781 E-03 1000       2.367E-03       2.922E-03 1100       2.478E-03       3.059E-03
27 of 56 Table 5-8 Effective Thermal Properties for DSC-Rail Gap (Mat 72)
Cavity Gas -Helium Cavity Gas - Nitrogen Temp Keff,parallel Keff,across Temp Keff,parallel Keffacross (OF)
(Btu/hr-in-&deg;F)
(Btu/hr-in-&deg;F)
(OF)
(Btu/hr-in-&deg;F)
(Btu/hr-in-&deg;F) 80 6.480E-03 8.000E-03 200 1.319E-03 1.628E-03 260 7.740E-03 9.556E-03 300 1.472E-03 1.817E-03 440 9.180E-03 1.133E-02 400 1.617E-03 1.996E-03 620 1.071E-02 1.322E-02 500 1.754E-03 2.166E-03 980 1.332E-02 1.644E-02 600 1.886E-03 2.328E-03 1340 1.566E-02 1.933E-02 700 2.012E-03 2.484E-03 1430 1.629E-02 2.011E-02 800 2.134E-03 2.635E-03 900 2.252E-03 2.781 E-03 1000 2.367E-03 2.922E-03 1100 2.478E-03 3.059E-03


Calculation No.: NUH32PHB-0403 Calculation               Revision No.: 1 AR EVA                                                             Page: 28 of 56 5.1.4     Axial Decay Heat Profile for PWR Fuel Assemblies The axial decay heat profile for fuel assemblies considered in the 32PHB DSC is based on axial burnup distribution of VAP fuel assemblies described in [2], which can accommodate spent fuel with a maximum average burnup of 53 GWd/MTU. For conservatism, the bounding peaking factor profile is determined according to the maximum axial peaking factor value at each axial location from all Unit 1/2 fuel assemblies in [2] and is shown in Table 5-9. The discussion in [13]
Calculation No.:
NUH32PHB-0403 Calculation Revision No.:
1 AR EVA Page:
28 of 56 5.1.4 Axial Decay Heat Profile for PWR Fuel Assemblies The axial decay heat profile for fuel assemblies considered in the 32PHB DSC is based on axial burnup distribution of VAP fuel assemblies described in [2], which can accommodate spent fuel with a maximum average burnup of 53 GWd/MTU. For conservatism, the bounding peaking factor profile is determined according to the maximum axial peaking factor value at each axial location from all Unit 1/2 fuel assemblies in [2] and is shown in Table 5-9. The discussion in [13]
shows that at a higher burnup, the heat flux shape tends to flatten with a reduction in the maximum axial peaking factor in the middle region, and the flux shape becomes more pronounced in the fuel end regions. Therefore, the application of a heat flux shape for a lower burnup spent fuel (*53 GWd/MTU) on a higher burnup spent fuel (up to 62 GWd/MTU for 32PHB fuel assemblies [4]) is conservative.
shows that at a higher burnup, the heat flux shape tends to flatten with a reduction in the maximum axial peaking factor in the middle region, and the flux shape becomes more pronounced in the fuel end regions. Therefore, the application of a heat flux shape for a lower burnup spent fuel (*53 GWd/MTU) on a higher burnup spent fuel (up to 62 GWd/MTU for 32PHB fuel assemblies [4]) is conservative.
The active fuel length for 32PHB basket is divided into 21 sections. The peaking factors from [2]
The active fuel length for 32PHB basket is divided into 21 sections. The peaking factors from [2]
are converted as follows to match the 21 regions defined for the active fuel length.
are converted as follows to match the 21 regions defined for the active fuel length.
      " An average height is calculated for each peaking factor section of defined in [2].
" An average height is calculated for each peaking factor section of defined in [2].
      " An average height is calculated for each section of active fuel length defined in the finite element model (FEM) of 32PHB DSC.
" An average height is calculated for each section of active fuel length defined in the finite element model (FEM) of 32PHB DSC.
      " The peaking factor for each section in FEM is calculated by interpolation between the peaking factors in [2] using the average heights.
" The peaking factor for each section in FEM is calculated by interpolation between the peaking factors in [2] using the average heights.
The peaking factors for fuel assemblies in the 32PHB DSC model are listed in Table 5-10 and illustrated in Figure 5-7.
The peaking factors for fuel assemblies in the 32PHB DSC model are listed in Table 5-10 and illustrated in Figure 5-7.


Calculation No.:   NUH32PHB-0403 Revision No.:   1 Page:   29 of 56 Table 5-9     Bounding Peaking Factors for 32PHB Fuel Assemblies [2]
Calculation No.:
% of Core length         Length           Peaking Factors         Area under Curve 0.00                   0                   0.000                   0.00 2.19                 3.0                 0.641                   0.96 5.85                 8.0                 0.853                   3.74 7.50                 10.3                 0.920                   1.99 8.23                 11.3                 0.941                   0.93 9.51                 13.0                 0.967                   1.67 12.45                 17.0                 1.027                   4.01 16.87                 23.1                 1.074                   6.35 21.29                 29.1                 1.091                   6.54 25.71                 35.1                 1.094                   6.60 30.12                 41.2                 1.093                   6.60 34.54                 47.2                 1.090                   6.59 38.96                 53.3                 1.087                   6.57 43.38                 59.3                 1.085                   6.56 47.80                 65.3                 1.086                   6.56 52.30                 71.5                 1.098                   6.72 56.88                 77.8                 1.101                   6.88 61.46                 84.0                 1.101                   6.89 66.04                 90.3                 1.100                   6.89 70.61                 96.5                 1.097                   6.88 75.19                 102.8                 1.092                   6.85 79.77                 109.1                 1.080                   6.80 84.35                 115.3                 1.049                   6.66 88.93                 121.6                 0.979                   6.35 91.77                 125.5                 0.915                   3.67 92.50                 126.5                 0.883                   0.90 94.15                 128.7                 0.821                   1.92 97.81                 133.7                 0.616                   3.59 100.00               136.7                 0.000                   0.92
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29 of 56 Table 5-9 Bounding Peaking Factors for 32PHB Fuel Assemblies [2]
% of Core length Length Peaking Factors Area under Curve 0.00 0
0.000 0.00 2.19 3.0 0.641 0.96 5.85 8.0 0.853 3.74 7.50 10.3 0.920 1.99 8.23 11.3 0.941 0.93 9.51 13.0 0.967 1.67 12.45 17.0 1.027 4.01 16.87 23.1 1.074 6.35 21.29 29.1 1.091 6.54 25.71 35.1 1.094 6.60 30.12 41.2 1.093 6.60 34.54 47.2 1.090 6.59 38.96 53.3 1.087 6.57 43.38 59.3 1.085 6.56 47.80 65.3 1.086 6.56 52.30 71.5 1.098 6.72 56.88 77.8 1.101 6.88 61.46 84.0 1.101 6.89 66.04 90.3 1.100 6.89 70.61 96.5 1.097 6.88 75.19 102.8 1.092 6.85 79.77 109.1 1.080 6.80 84.35 115.3 1.049 6.66 88.93 121.6 0.979 6.35 91.77 125.5 0.915 3.67 92.50 126.5 0.883 0.90 94.15 128.7 0.821 1.92 97.81 133.7 0.616 3.59 100.00 136.7 0.000 0.92


Calculation No.: NUH32PHB-0403 Calculation                     Revision No.: 1 AREVA                                                                   Page: 30 of 56 Table 5-10     Peaking Factors for Fuel Assemblies in the 32PHB DSC Model Region       Fuel Model Z-Coord (in)       Average Height     Peaking       Area under
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  #              from         to         from Bottom (in)     Factor         Curve 1           -3.140           -0.060         1.540           0.329           1.013 2             -0.060             4.120         5.170           0.733           3.064 3             4.120           12.460         11.430           0.933           7.779 4             12.460           20.740         19.740           1.047           8.671 5           20.740           28.060         27.540           1.086           7.948 6             28.060           35.320         34.830           1.093           7.937 7           35.320           41.600       41.600           1.092           6.859 8           41.600           48.860       48.370           1.089           7.906 9           48.860           56.120         55.630           1.086           7.885 10           56.120           64.460         63.430           1.087           9.061 11           64.460           72.800         71.770           1.097           9.150 12           72.800           80.060         79.570           1.101           7.991 13           80.060           87.320         86.830           1.100           7.988 14           87.320           95.660         94.630           1.098           9.158 15           95.660         100.860         101.400           1.093           5.686 16           100.860         111.260         109.200           1.076         11.187 17           111.260         118.520       118.030           1.019           7.395 18           118.520         124.800       124.800           0.919           5.770 19           124.800         128.920       130.000           0.767           3.159 20           128.920         132.000       133.600           0.565           1.740 21           132.000         133.560       135.920           0.160           0.250 Sum           137.60 Normalized         1.007 Corr. Factor       0.993 1.2 1.0 0* 0.8 L-0.
NUH32PHB-0403 Calculation Revision No.:
0.4 0.2 0.0 0         25           50         75       100         125       150P Active Fuel Length (in)
1 AREVA Page:
Figure 5-7     Peaking Factor Curve for PWR Fuels
30 of 56 Table 5-10 Peaking Factors for Fuel Assemblies in the 32PHB DSC Model Region Fuel Model Z-Coord (in)
Average Height Peaking Area under from to from Bottom (in)
Factor Curve 1  
-3.140  
-0.060 1.540 0.329 1.013 2  
-0.060 4.120 5.170 0.733 3.064 3
4.120 12.460 11.430 0.933 7.779 4
12.460 20.740 19.740 1.047 8.671 5
20.740 28.060 27.540 1.086 7.948 6
28.060 35.320 34.830 1.093 7.937 7
35.320 41.600 41.600 1.092 6.859 8
41.600 48.860 48.370 1.089 7.906 9
48.860 56.120 55.630 1.086 7.885 10 56.120 64.460 63.430 1.087 9.061 11 64.460 72.800 71.770 1.097 9.150 12 72.800 80.060 79.570 1.101 7.991 13 80.060 87.320 86.830 1.100 7.988 14 87.320 95.660 94.630 1.098 9.158 15 95.660 100.860 101.400 1.093 5.686 16 100.860 111.260 109.200 1.076 11.187 17 111.260 118.520 118.030 1.019 7.395 18 118.520 124.800 124.800 0.919 5.770 19 124.800 128.920 130.000 0.767 3.159 20 128.920 132.000 133.600 0.565 1.740 21 132.000 133.560 135.920 0.160 0.250 Sum 137.60 Normalized 1.007 Corr. Factor 0.993 1.2 1.0 0* 0.8 L-0.4 0.
0.2 0.0 0
25 50 75 100 125 150P Active Fuel Length (in)
Figure 5-7 Peaking Factor Curve for PWR Fuels


Calculation No.: NUH32PHB-0403 Calculation                 Revision No.: 1 AR EVA                                                             Page: 31 of 56 As seen in Table 5-10, the normalized area under peaking factor curve is greater than 1.0.
Calculation No.:
NUH32PHB-0403 Calculation Revision No.:
1 AR EVA Page:
31 of 56 As seen in Table 5-10, the normalized area under peaking factor curve is greater than 1.0.
Normalization of the area under the peaking factor curve results in a correction factor of 0.993 as calculated below.
Normalization of the area under the peaking factor curve results in a correction factor of 0.993 as calculated below.
Area under Axial Heat Profile Nomalized Area under Curve = AreanderxialeatPofile= 1.007.
Area under Axial Heat Profile Nomalized Area under Curve = AreanderxialeatPofile= 1.007.
Active Fuel Length Correction Factor ==                                   0.993.
Active Fuel Length Correction Factor==
0.993.
Normalized Area under Curve For conservatism, the correction factor of 1.0 is assumed in the 32PHB DSC model.
Normalized Area under Curve For conservatism, the correction factor of 1.0 is assumed in the 32PHB DSC model.


Calculation No.:       NUH32PHB-0403 Calculation                           Revision No.:     1 AR EVA                                                                                   Page:     32 of 56 5.2         Effective Thermal Properties of 32PHB Basket The 32PHB basket effective density, thermal conductivity and specific heat are calculated for use in the transient analyses. The calculation of effective density and specific heat are based on the DSC component weight data provided in [7].
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NUH32PHB-0403 Calculation Revision No.:
1 AR EVA Page:
32 of 56 5.2 Effective Thermal Properties of 32PHB Basket The 32PHB basket effective density, thermal conductivity and specific heat are calculated for use in the transient analyses. The calculation of effective density and specific heat are based on the DSC component weight data provided in [7].
The effective properties are valid only when the homogenized basket are modeled with the dimensions listed in Table 5-11 :
The effective properties are valid only when the homogenized basket are modeled with the dimensions listed in Table 5-11 :
Table 5-11         Dimensions of Homogenized Baskets DSC Type                                         32PHB Basket OD (in)                                     66.0 Basket length (in)                               158.0 5.2.1         Effective Density and Specific Heat The basket effective density Peff basket, and specific heat Cp effbasket are calculated respectively using equations (5.4), (5.5) below.
Table 5-11 Dimensions of Homogenized Baskets DSC Type 32PHB Basket OD (in) 66.0 Basket length (in) 158.0 5.2.1 Effective Density and Specific Heat The basket effective density Peff basket, and specific heat Cp effbasket are calculated respectively using equations (5.4), (5.5) below.
Pelf basket     XVwi      Wsteel +   WAI + Wpison         Wfuel                                               (5.4) ebasket         Lbasket     Dbasket /4 /4-C peff basket = basket Zw.Wi .Cp, 1    _
Pelf basket wi XV Wsteel +
Wstee
WAI + Wpison Wfuel (5.4) ebasket Lbasket  
* c WWtee            +WsteAl *Jr C psteel +             +A
/4-Dbasket /4 basket Wi.Cp, Wstee
                                                                    + Wpoison Wpoio
* C psteel +
* C{
Al *
Cppoison   + Wfuel Wffuel      " Cp fueCp   (5.5) 1 INI                             W~steel + WAI + Wpoison +   fuel.
+ Wpoison
Where:           W, = weight of basket components, Lb,,k,,= basket length (see Table 5-11),
* Cppoison + Wfuel " Cp fueCp C peff basket =
Dbake, = basket OD (see Table 5-11),
Zw.
1
_ WWtee c
+Wste Jr
+A Wpoio C{
Wffuel (5.5) 1 INI W~steel + WAI + Wpoison +
fuel.
Where:
W, = weight of basket components, Lb,,k,,= basket length (see Table 5-11),
Dbake, = basket OD (see Table 5-11),
Cpj = specific heat of basket materials.
Cpj = specific heat of basket materials.
The following assumptions are used in the calculation of the basket effective density (p) and specific heat (Cp):
The following assumptions are used in the calculation of the basket effective density (p) and specific heat (Cp):
        " For aluminum at T > 4000 F, Cp value is conservatively assumed equal to value at 400 0 F.
" For aluminum at T > 4000 F, Cp value is conservatively assumed equal to value at 4000F.
* For poison material, p and Cp value is conservatively based on Al 6061.
For poison material, p and Cp value is conservatively based on Al 6061.
* Conservatively, helium is not included in density and specific heat calculation.
* Conservatively, helium is not included in density and specific heat calculation.
The calculation of 32PHB basket effective density is summarized in Table 5-12. The calculation of effective specific heat for 32PHB basket is shown in Table 5-13.
The calculation of 32PHB basket effective density is summarized in Table 5-12. The calculation of effective specific heat for 32PHB basket is shown in Table 5-13.


Calculation No.:   NUH32PHB-0403 Revision No.:     1 Page:     33 of 56 Table 5-12 Effective Density for 32PHB Basket Components                         Material         Total Weight [7] (Ibm)
Calculation No.:
Fuel Assembly                                             46400 Guide Sleeve                     SS304                     9548 AI/Poison Plate                 Aluminum                   2092 Steel Plate                     SS304                     1616 Rail 90                         Aluminum                   8122 Rail 45                         Aluminum                   2952 Total                                                       70730 Dimension Dbasket                             66.00                     in Lbasket                             158.0                     in Vbasket                             540549                     in3 0.1308                   Ibm/in 3 Peff basket
NUH32PHB-0403 Revision No.:
1 Page:
33 of 56 Table 5-12 Effective Density for 32PHB Basket Components Material Total Weight [7] (Ibm)
Fuel Assembly 46400 Guide Sleeve SS304 9548 AI/Poison Plate Aluminum 2092 Steel Plate SS304 1616 Rail 90 Aluminum 8122 Rail 45 Aluminum 2952 Total 70730 Dimension Dbasket 66.00 in Lbasket 158.0 in Vbasket 540549 in3 Peff basket 0.1308 Ibm/in 3


Calculation No.:   NUH32PHB-0403 Revision No.:   0 Page:   34 of 56 Table 5-13       Effective Specific Heat for 32PHB Basket Components_               Fuel Assembly                           Stainless I Plates     Steel of Basket   Aluminum/Poison Plates     Rail 90 Rail
Calculation No.:
_Rail 45 Total
NUH32PHB-0403 Revision No.:
_Total Material (1)---                   Stainless Steel     Stainless Steel             Al         Al       Al         ---
0 Page:
Weiaht (Ibm) [71           46400             9548               1616                 2092       8122     2952     70730 Temp                 m.C.             m.Cp               m.Cp                 m.Cp       m.Cp     m.C     XY m.Cp   Cp eff basket (F)               (Btu/&deg;F)         (Btu/&deg;F)           (Btu/&deg;F)           (Btu/&deg;F)     (Btu/&deg;F) (Btu/&deg;F)   (Btu/&deg;F) (Btu/lbm-&deg;F) 70                 2,673             1,085               184                 446         1,730   629       6,746     0.095 100               2,673             1,091               185                 450       1,747     635       6,780     0.096 200                 2,673             1,136               192                 462         1,792   651       6,906     0.098 300                 2,673             1,167               198                 473         1,835   667       7,012     0.099 400                 2,673             1,201               203                 480         1,865   678       7,101     0.100 500                 2,673             1,222               207                 480         1,865   678       7,125     0.101 600                 2,673             1,237               209                 480         1,865   678       7,143     0.101 700                 2,673             1,256               213                 480         1,865   678       7,165     0.101 800                 2,673             1,263               214                 480         1,865   678       7,174     0.101 900                 2,673             1,280               217                 480       1,865     678       7,193     0.102 1000               2,673             1,296               219                 480       1,865     678       7,212     0.102 Note: (1) Specific heat values are listed in Section 4.1.
34 of 56 Table 5-13 Effective Specific Heat for 32PHB Basket Fuel Stainless Steel Aluminum/Poison Rail 90 Rail 45 Total Components_
Assembly I Plates of Basket Plates Rail 90
_Rail 45
_Total Material (1)---
Stainless Steel Stainless Steel Al Al Al Weiaht (Ibm) [71 46400 9548 1616 2092 8122 2952 70730 Temp m.C.
m.Cp m.Cp m.Cp m.Cp m.C X Y m.Cp Cp eff basket (F)
(Btu/&deg;F)
(Btu/&deg;F)
(Btu/&deg;F)
(Btu/&deg;F)
(Btu/&deg;F)
(Btu/&deg;F)
(Btu/&deg;F)
(Btu/lbm-&deg;F) 70 2,673 1,085 184 446 1,730 629 6,746 0.095 100 2,673 1,091 185 450 1,747 635 6,780 0.096 200 2,673 1,136 192 462 1,792 651 6,906 0.098 300 2,673 1,167 198 473 1,835 667 7,012 0.099 400 2,673 1,201 203 480 1,865 678 7,101 0.100 500 2,673 1,222 207 480 1,865 678 7,125 0.101 600 2,673 1,237 209 480 1,865 678 7,143 0.101 700 2,673 1,256 213 480 1,865 678 7,165 0.101 800 2,673 1,263 214 480 1,865 678 7,174 0.101 900 2,673 1,280 217 480 1,865 678 7,193 0.102 1000 2,673 1,296 219 480 1,865 678 7,212 0.102 Note: (1) Specific heat values are listed in Section 4.1.


Calculation No.: NUH32PHB-0403 Calculation               Revision No.: 1 AR EVA                                                                 Page:   35 of 56 5.2.2     Effective Thermal Conductivity A 22.86" long slice of 32PHB basket is created by selecting the nodes and elements of the basket from the finite element model described in Section 5.1 to calculate the effective thermal conductivities. The slice model is shown in Figure 5-8.
Calculation No.:
AN                                                 AN 32PHB Basket Slice Model                         32PHB Basket Slice Model Figure 5-8   32PHB Basket Slice Models
NUH32PHB-0403 Calculation Revision No.:
1 AR EVA Page:
35 of 56 5.2.2 Effective Thermal Conductivity A 22.86" long slice of 32PHB basket is created by selecting the nodes and elements of the basket from the finite element model described in Section 5.1 to calculate the effective thermal conductivities. The slice model is shown in Figure 5-8.
AN AN 32PHB Basket Slice Model 32PHB Basket Slice Model Figure 5-8 32PHB Basket Slice Models


Calculation No.: NUH32PHB-0403 Calculation               Revision No.: 1 AREVA                                                                     Page: 36 of 56 5.2.2.1     Axial Effective Thermal Conductivity To calculate the axial effective conductivity of the basket, constant temperature boundary conditions are applied at the top and bottom of the slice model. No heat generation is considered for the fuel elements in this case. The axial effective conductivity is calculated using equation (5.6) below.
Calculation No.:
kbaketI "-- QwxL                         (5.6)
NUH32PHB-0403 Calculation Revision No.:
A x AT Asice Where:       Qaxi   = Amount of heat leaving the upper face of the slice model - reaction solution of the uppermost nodes (Btu/hr),
1 AREVA Page:
L     = Length of the model = 22.86",
36 of 56 5.2.2.1 Axial Effective Thermal Conductivity To calculate the axial effective conductivity of the basket, constant temperature boundary conditions are applied at the top and bottom of the slice model. No heat generation is considered for the fuel elements in this case. The axial effective conductivity is calculated using equation (5.6) below.
Aslce = Surface area of the upper (or bottom) face of the basket slice model 1709.73 in2 (=7T/8 X Dbasket2 ),
kbaketI "-- QwxL (5.6)
AT     = (T2 - Ti) =Temperature difference between upper and lower faces of the model (OF),
A Asice x AT Where:
T2     = Constant temperature applied on the upper face of the model (OF),
Qaxi  
Ti     = Constant temperature applied on the lower face of the model (OF).
= Amount of heat leaving the upper face of the slice model - reaction solution of the uppermost nodes (Btu/hr),
L  
= Length of the model = 22.86",
Aslce  
= Surface area of the upper (or bottom) face of the basket slice model 1709.73 in2 (=7T/8 X Dbasket2),
AT  
= (T2 - Ti) =Temperature difference between upper and lower faces of the model (OF),
T2  
= Constant temperature applied on the upper face of the model (OF),
Ti  
= Constant temperature applied on the lower face of the model (OF).
Typical applied boundary conditions are shown in Figure 5-9 (a).
Typical applied boundary conditions are shown in Figure 5-9 (a).


Calculation No.: NUH32PHB-0403 Calculation                       Revision No.: 1 A R EVA                                                                       Page: 37 of 56 Fixed Temperatures at basket upper nodes Effective       Basket   Conductivity       in   Axial   Direction Fixed Temperatures at basket lower nodes (a)     Boundary Condition - Axial Effective Thermal Conductivity MY           ELEMENTS HGEN RATES QMIN-0 QMAX-. 380389 0
Calculation No.:
                                                              .042265
NUH32PHB-0403 Calculation Revision No.:
                                                              .084531
1 A R EVA Page: 37 of 56 Fixed Temperatures at basket upper nodes Effective Basket Conductivity in Axial Direction Fixed Temperatures at basket lower nodes (a)
                                                              .126796 169062
Boundary Condition -Axial Effective Thermal Conductivity MY ELEMENTS HGEN RATES QMIN-0 QMAX-. 380389 0
                                                              .211327 253593
.042265
                                                          --- .295858
.084531
                                                              . 338124
.126796 169062
                                                              .380389 Heat generation boundary conditions Fixed Temperatures at basket outermost nodes Effective Basket Conductivity in Radial Direction (b) Boundary Condition - Radial Effective Thermal Conductivity Figure 5-9       Typical Boundary Conditions for Basket Slice Model
.211327 253593
---.295858
. 338124
.380389 Heat generation boundary conditions Fixed Temperatures at basket outermost nodes Effective Basket Conductivity in Radial Direction (b) Boundary Condition - Radial Effective Thermal Conductivity Figure 5-9 Typical Boundary Conditions for Basket Slice Model


CONTROLLED COPY E-281 A                                  Form 3.2-1 Calculation Cover Sheet Calculation No.:
CONTROLLED COPY E-281 Form 3.2-1 Calculation No.:
Revision No.:
NUH32PHB-0403 A
NUH32PHB-0403 i
Calculation Cover Sheet Revision No.:
Page: 1 of 56 ARE          VA                          Revision 8 DCR NO (if applicable): NUH32PHB-018               PROJECT NAME: NUHOMS 32PHB System PROJECT NO: 10955                                 CLIENT: CENG-Calvert Cliff Nuclear Power Plant Inc. (CCNPP)
i A R E VA Revision 8 Page: 1 of 56 DCR NO (if applicable): NUH32PHB-018 PROJECT NAME: NUHOMS 32PHB System PROJECT NO: 10955 CLIENT: CENG-Calvert Cliff Nuclear Power Plant Inc. (CCNPP)
CALCULATION TITLE:
CALCULATION TITLE:
Thermal Evaluation of NUHOMS 32PHB DSC for Storage and Transfer Conditions
Thermal Evaluation of NUHOMS 32PHB DSC for Storage and Transfer Conditions
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: 1) Calculation Summary This calculation determines the maximum fuel cladding temperature and the maximum basket component temperatures for 32PHB DSC storage in NUHOMS HSM-HB and transfer in the CCNPP-FC transfer cask during normal, off-normal, and accident operating conditions. This calculation evaluates these conditions for the bounding maximum heat load of 29.6 kW per DSC.
: 1) Calculation Summary This calculation determines the maximum fuel cladding temperature and the maximum basket component temperatures for 32PHB DSC storage in NUHOMS HSM-HB and transfer in the CCNPP-FC transfer cask during normal, off-normal, and accident operating conditions. This calculation evaluates these conditions for the bounding maximum heat load of 29.6 kW per DSC.
: 2) Storage Media Description Secure network server initially, then redundant tape backup If original issue, is licensing review per TIP 3.5 required?
: 2) Storage Media Description Secure network server initially, then redundant tape backup If original issue, is licensing review per TIP 3.5 required?
Yes   El       No N (explain below)           Licensing Review No.:
Yes El No N (explain below)
Licensing Review No.:
This calculation is performed to support a site specific license application by CCNPP that will be reviewed and approved by the NRC. Therefore, a IOCFR72.48 licensing review per TIP 3.5 is not applicable.
This calculation is performed to support a site specific license application by CCNPP that will be reviewed and approved by the NRC. Therefore, a IOCFR72.48 licensing review per TIP 3.5 is not applicable.
Software Utilized (subject to test requirements of TIP 3.3):                               Version:
Software Utilized (subject to test requirements of TIP 3.3):
ANSYS                                                                                       10.0 Calculation is complete:                                                                   Digitally signed by VENIGALLA Venkata Date: 2015.03.03 14:32:35 -05'00' Originator Name and Signature: Venkata Venigalla                                             Date:
Version:
ANSYS 10.0 Calculation is complete:
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Calculation has been checked for consistency, completeness and correctness:
Calculation has been checked for consistency, completeness and correctness:
* 4         Digitally signed by LIUHui Date: 2015.03.03 14:47:25
* 4 Digitally signed by LIU Hui Date: 2015.03.03 14:47:25
                                                                                          -05'00' Checker Name and Signature: Hui Liu                                                         Date:
-05'00' Checker Name and Signature: Hui Liu Date:
Calculation is approved for use:                                                                       PATELGirish o=AREVAGROUP, 2.5.4.45=T11D2D8D413995674D4.17FCF, cn=PATELGirish 2015.03.03 16:11:18 -05'00' Project Engineer Name and Signature: Girish Patel                                           Date:
Calculation is approved for use:
PATEL Girish o=AREVA GROUP, 2.5.4.45=T1 1D2D8D413995674D4.17FCF, cn=PATEL Girish 2015.03.03 16:11:18 -05'00' Project Engineer Name and Signature: Girish Patel Date:


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==SUMMARY==
==SUMMARY==
AFFECTED AFFECTED DESCRIPTION PAGES Computational 1/0 Initial Issue All All The temperature term T1 is corrected to T in 1,2, 7, 8, None Tables 4-5 and 4-6 in response to RAI 6-11 12 and 13 from NRC.


AFFECTED              AFFECTED DESCRIPTION                  PAGES              Computational 1/0 Initial Issue                                    All                    All The temperature term T1 is corrected to T in 1,2, 7, 8,              None Tables 4-5 and 4-6 in response to RAI 6-11  12 and 13 from NRC.
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Calculation No.:           NUH32PHB-0403 Calculation                                     Revision No.:           1 AR EVA                                                                                                         Page:       3 of 56 TABLE OF CONTENTS Paqe 1 .0 P u rpo s e ............................................................................................................................. 6 2.0 References ........................................................................................................................         7 3.0 Assumptions and Conservatism ....................................................................................                           9 4.0 Design Input ...........................................................................................                                   10 4.1 Thermal Properties of Materials ........................................................................                               10 4.2 Design Criteria ...................................................................................................                   14 5.0 Methodology ...................................................................................................................             15 5.1 32PHB DSC Model .............................................................................................                         15 5.1.1 Heat Generation                                                                                                               20 5.1.2 Boundary Conditions for 32PHB DSC in the HSM-HB and CCNPP-FC TC                                                               22 5.1.3 Effective Conductivity for Basket Components with Modified Thickness                                                         24 5.1.4 Axial Decay Heat Profile for PWR Fuel Assemblies                                                                             28 5.2 Effective Thermal Properties of 32PHB Basket .................................................                                         32 5.2.1 Effective Density and Specific Heat                                                                                           32 5.2.2 Effective Thermal Conductivity                                                                                               35 6 .0 R e s ults ............................................................................................................................ 40 7 .0 C o nc lu s io n ...................................................................................................................... 49 8.0 Listing of Com puter Files ..........................................................................................                     52 APPENDIX A Justification of Hot Gap Between Basket and DSC Shell ............................ 55
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3 of 56 TABLE OF CONTENTS Paqe 1.0 P u rp o s e.............................................................................................................................
6 2.0 References........................................................................................................................
7 3.0 Assumptions and Conservatism....................................................................................
9 4.0 Design Input...........................................................................................
10 4.1 Thermal Properties of Materials........................................................................
10 4.2 Design Criteria...................................................................................................
14 5.0 Methodology...................................................................................................................
15 5.1 32PHB DSC Model.............................................................................................
15 5.1.1 Heat Generation 20 5.1.2 Boundary Conditions for 32PHB DSC in the HSM-HB and CCNPP-FC TC 22 5.1.3 Effective Conductivity for Basket Components with Modified Thickness 24 5.1.4 Axial Decay Heat Profile for PWR Fuel Assemblies 28 5.2 Effective Thermal Properties of 32PHB Basket.................................................
32 5.2.1 Effective Density and Specific Heat 32 5.2.2 Effective Thermal Conductivity 35 6.0 R e s u lts............................................................................................................................
4 0 7.0 C o n c lu s io n......................................................................................................................
4 9 8.0 Listing of Com puter Files..........................................................................................
52 APPENDIX A Justification of Hot Gap Between Basket and DSC Shell............................ 55


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LIST OF TABLES Page Table 4-1   Material Numbers in ANSYS Model for the 32PHB DSC ..............................                                          10 Table 4-2  Thermal Properties of Homogenized Fuel Assembly in Helium [8] ................                                            11 Table 4-3  SA 240/SA-479 Type 304 Stainless Steel Thermal Properties [4, 9] .............                                            11 Table 4-4   Aluminum Alloys Thermal Properties [4, 9] ....................................................                            12
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-Table 4-5 Helium Thermal Conductivity ............... :........................................................                     12 Table 4-6  A ir Therm al C onductivity ................................................................................               13 Table 4-7  Nitrogen Thermal Conductivity [4, 12] ..........................................................                          13 Table 4-8  Thermal Properties of Lead (ASTM B29) [4] ..................................................                               14 Table 4-9  Maximum Fuel Cladding Temperature Limits for 32PHB DSC Thermal A na lyse s ......................................................................................................     .. 14 Table 5-1  Heat Generation Rates for 32PHB Basket ....................................................                               20 Table 5-2  32PHB Basket Component Thicknesses ......................................................                                 24 Table 5-3  Effective Thermal Conductivities for 0.02" Al/Poison Contact Gap (Mat 19/2 9 ) ........................................................................................................     .. 25 Table 5-4  Effective Thermal Properties for Guide Sleeve (Mat 31/32) ..........................                                       25 Table 5-5  Effective Thermal Properties for Basket Stainless Steel Plate (Mat 41/42) .......                                         26 Table 5-6  Effective Thermal Properties for Al/Poison Plate (Mat 53/54) .......................                                       26 Table 5-7  Effective Thermal Properties for Basket Aluminum Plate (Mat 55/56) ...........                                             26 Table 5-8  Effective Thermal Properties for DSC-Rail Gap (Mat 72) ..............................                                     27 Table 5-9  Bounding Peaking Factors for 32PHB Fuel Assemblies [2] ..........................                                         29 Table 5-10 Peaking Factors for Fuel Assemblies in the 32PHB DSC Model ..................                                              30 Table 5-11 Dimensions of Homogenized Baskets ..........................................................                               32 Table 5-12 Effective Density for 32PHB Basket ............................................................                           33 Table 5-13 Effective Specific Heat for 32PHB Basket ...................................................                              34 Table 5-14 Effective Axial Conductivity for 32PHB Basket .............................................                                38 Table 5-15 Effective Radial Conductivity for 32PHB Basket ...........................................                                 39 Table 6-1  Maximum 32PHB DSC Component Temperatures ......................................                                            40 Table 6-2  Average 32PHB DSC Component Temperatures .........................................                                         41 Table 7-1  Maximum Fuel Cladding Temperatures for Storage and Transfer C o nd itio ns ..................................................................................................    . . 49 Table 7-2  Maximum Basket Component Temperatures ...............................................                                      50 Table 7-3  Effective Thermal Properties for 32PHB Basket ...........................................                                 51 Table 8-1  Summary of ANSYS Runs .............................................................................                       52 Table 8-2  List of Macro Files to Map DSC Shell Temperatures from 61 BTH DSC [11] .....                                              52 Table 8-3  List of 32PHB DSC Geometry Generation Files ............................................                                   53 Table 8-4  Associated Files and Macros ........................................................................                      53 Table 8-5  List of S preadsheets ....................................................................................             .. 54 Table A-1 Average Temperatures at Hottest Cross Section for 32PHB DSC ............... 55 Table A-2  Diametrical Hot Gap in 32PHB DSC .............................................................                             56
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4 of 56 LIST OF TABLES Page Table 4-1 Table 4-2 Table 4-3 Table 4-4
-Table 4-5 Table 4-6 Table 4-7 Table 4-8 Table 4-9 Table 5-1 Table 5-2 Table 5-3 Table 5-4 Table 5-5 Table 5-6 Table 5-7 Table 5-8 Table 5-9 Table 5-10 Table 5-11 Table 5-12 Table 5-13 Table 5-14 Table 5-15 Table 6-1 Table 6-2 Table 7-1 Table 7-2 Table 7-3 Table 8-1 Table 8-2 Table 8-3 Table 8-4 Table 8-5 Material Numbers in ANSYS Model for the 32PHB DSC..............................
10 Thermal Properties of Homogenized Fuel Assembly in Helium [8]................ 11 SA 240/SA-479 Type 304 Stainless Steel Thermal Properties [4, 9]............. 11 Aluminum Alloys Thermal Properties [4, 9]....................................................
12 Helium Thermal Conductivity............... :........................................................
12 A ir Therm al C onductivity................................................................................
13 Nitrogen Thermal Conductivity [4, 12]..........................................................
13 Thermal Properties of Lead (ASTM B29) [4]..................................................
14 Maximum Fuel Cladding Temperature Limits for 32PHB DSC Thermal A na lyse s......................................................................................................  
.. 14 Heat Generation Rates for 32PHB Basket....................................................
20 32PHB Basket Component Thicknesses......................................................
24 Effective Thermal Conductivities for 0.02" Al/Poison Contact Gap (Mat 19/2 9 )........................................................................................................
2 5 Effective Thermal Properties for Guide Sleeve (Mat 31/32).......................... 25 Effective Thermal Properties for Basket Stainless Steel Plate (Mat 41/42)....... 26 Effective Thermal Properties for Al/Poison Plate (Mat 53/54).......................
26 Effective Thermal Properties for Basket Aluminum Plate (Mat 55/56)........... 26 Effective Thermal Properties for DSC-Rail Gap (Mat 72)..............................
27 Bounding Peaking Factors for 32PHB Fuel Assemblies [2].......................... 29 Peaking Factors for Fuel Assemblies in the 32PHB DSC Model.................. 30 Dimensions of Homogenized Baskets..........................................................
32 Effective Density for 32PHB Basket............................................................
33 Effective Specific Heat for 32PHB Basket...................................................
34 Effective Axial Conductivity for 32PHB Basket.............................................
38 Effective Radial Conductivity for 32PHB Basket...........................................
39 Maximum 32PHB DSC Component Temperatures......................................
40 Average 32PHB DSC Component Temperatures.........................................
41 Maximum Fuel Cladding Temperatures for Storage and Transfer C o nd itio ns..................................................................................................
4 9 Maximum Basket Component Temperatures...............................................
50 Effective Thermal Properties for 32PHB Basket...........................................
51 Summary of ANSYS Runs.............................................................................
52 List of Macro Files to Map DSC Shell Temperatures from 61 BTH DSC [11]..... 52 List of 32PHB DSC Geometry Generation Files............................................
53 Associated Files and Macros........................................................................
53 List of S preadsheets....................................................................................  
.. 54 Table A-1 Table A-2 Average Temperatures at Hottest Cross Section for 32PHB DSC............... 55 Diametrical Hot Gap in 32PHB DSC.............................................................
56


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1 Page: 5of56 LIST OF FIGURES Figure 5-1 Figure 5-2 Figure 5-3 Figure 5-4 Figure 5-5 Figure 5-6 Figure 5-7 Figure 5-8 Figure 5-9 Figure 6-1 Figure 6-2 Figure 6-3 Figure 6-4 Figure 6-5 Figure 6-6 Figure 6-7 Page Finite Element Model of 32PHB DSC..........................................................
AREVA                                                                                              Page:       5of56 LIST OF FIGURES Page Figure 5-1 Finite Element Model of 32PHB DSC ..........................................................                                     16 Figure 5-2 32PHB DSC Model - Cross Section .............................................................                                     17 Figure 5-3 32PHB DSC Model - Gaps in the Basket ......................................................                                       18 Figure 5-4 32PHB DSC Model-Axial Gaps at DSC Ends .............................................                                             19 Figure 5-5 Heat Load Zoning Configuration (HLZC) for 32PHB DSC with 29.6 kW He at Lo ad ....................................................................................................             . . 21 Figure 5-6 Typical Boundary Conditions for 32PHB DSC ...............................................                                         23 Figure 5-7 Peaking Factor Curve for PWR Fuels ...........................................................                                   30 Figure 5-8 32PHB Basket Slice Models ........................................................................                               35 Figure 5-9 Typical Boundary Conditions for Basket Slice Model ...................................                                           37 Figure 6-1 Location of 32PHB Basket Rails ....................................................................                               42 Figure 6-2 Temperature Plots for 32PHB DSC (Normal Storage @ 0&deg;F, 29.6 kW) .....                                                             43 Figure 6-3 Temperature Plots for 32PHB DSC (Off-Normal Storage @ 104 0 F, 29.6 kW ) ............................................   ........................................................................      44 Figure 6-4 Temperature Plots for 32PHB DSC (Block Vent @ 40 Hour, 29.6 kW) .....                                                             45 Figure 6-5 Temperature Plots for 32PHB DSC (Off-Normal Transfer, 104 0 F @ 20 Hour, 29 .6 kW ) ..........................................................................................                 . . 46 Figure 6-6 Temperature Plots for 32PHB DSC (Vertical Transfer, 100&deg;F @ 20 Hour, 2 9 .6 kW ) ......................................................................................................           .. 47 Figure 6-7 Temperature Plots for 32PHB DSC (Fire Accident Transfer, 29.6 kW) ......                                                         48
16 32PHB DSC Model - Cross Section.............................................................
17 32PHB DSC Model - Gaps in the Basket......................................................
18 32PHB DSC Model-Axial Gaps at DSC Ends.............................................
19 Heat Load Zoning Configuration (HLZC) for 32PHB DSC with 29.6 kW H e at Lo ad....................................................................................................  
.. 2 1 Typical Boundary Conditions for 32PHB DSC...............................................
23 Peaking Factor Curve for PWR Fuels...........................................................
30 32PHB Basket Slice M odels........................................................................
35 Typical Boundary Conditions for Basket Slice Model...................................
37 Location of 32PHB Basket Rails....................................................................
42 Temperature Plots for 32PHB DSC (Normal Storage @ 0&deg;F, 29.6 kW).....
43 Temperature Plots for 32PHB DSC (Off-Normal Storage @ 104 0F, 29.6 k W )............................................
4 4 Temperature Plots for 32PHB DSC (Block Vent @ 40 Hour, 29.6 kW).....
45 Temperature Plots for 32PHB DSC (Off-Normal Transfer, 104 0F @ 20 H our, 29.6 kW )..........................................................................................  
.. 46 Temperature Plots for 32PHB DSC (Vertical Transfer, 100&deg;F @ 20 Hour, 2 9.6 kW )......................................................................................................  
.. 4 7 Temperature Plots for 32PHB DSC (Fire Accident Transfer, 29.6 kW)......
48


Calculation No.: NUH32PHB-0403 Calculation             Revision No.: 1 AREVA                                                           Page: 6of56 1.0     PURPOSE The purpose of this calculation is to determine the maximum fuel cladding and component temperatures of 32PHB DSC in the HSM-HB storage module and in the CCNPP-FC transfer cask (TO) for normal, off-normal and accident conditions. A maximum heat load of 29.6 kW per DSC is considered for the evaluations in this calculation.
Calculation No.:
NUH32PHB-0403 Calculation Revision No.:
1 AREVA Page: 6of56 1.0 PURPOSE The purpose of this calculation is to determine the maximum fuel cladding and component temperatures of 32PHB DSC in the HSM-HB storage module and in the CCNPP-FC transfer cask (TO) for normal, off-normal and accident conditions. A maximum heat load of 29.6 kW per DSC is considered for the evaluations in this calculation.
Effective properties of 32PHB baskets are determined in Section 5.2 for the use in transient analysis.
Effective properties of 32PHB baskets are determined in Section 5.2 for the use in transient analysis.


Calculation No.: NUH32PHB-0403 Calculation                   Revision No.: 1 AREVA                                                               Page: 7of56
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==2.0 REFERENCES==
==2.0 REFERENCES==
 
1 Updated Final Safety Analysis Report for the Standardized NUHOMS Horizontal Modular Storage System for Irradiated Nuclear Fuel, NUH-003, Rev. 11.
1   Updated Final Safety Analysis Report for the Standardized NUHOMS Horizontal Modular Storage System for Irradiated Nuclear Fuel, NUH-003, Rev. 11.
2 CCNPP Demo DE1 0269, "Axial Burnup Distribution of VAP Assemblies with and without Axial Blankets", Constellation Energy Nuclear Group, January 23, 2009.
2   CCNPP Demo DE1 0269, "Axial Burnup Distribution of VAP Assemblies with and without Axial Blankets", Constellation Energy Nuclear Group, January 23, 2009.
3 NRC Spent Fuel Project Office, Interim Staff Guidance, ISG-1 1, Rev 3, "Cladding Considerations for the Transportation and Storage of Spent Fuel".
3   NRC Spent Fuel Project Office, Interim Staff Guidance, ISG-1 1, Rev 3, "Cladding Considerations for the Transportation and Storage of Spent Fuel".
4 Design Criteria Document, "Design Criteria Document (DCD) for the NUHOMS 32PHB System for Storage", Transnuclear, Inc., Document No. NUH32PHB.0101, Rev. 4.
4   Design Criteria Document, "Design Criteria Document (DCD) for the NUHOMS 32PHB System for Storage", Transnuclear, Inc., Document No. NUH32PHB.0101, Rev. 4.
5 Calculation, "Finite Element Model, Thermal Analysis", Transnuclear, Inc., Calculation No. 1095-5, Rev. 0.
5   Calculation, "Finite Element Model, Thermal Analysis", Transnuclear, Inc., Calculation No. 1095-5, Rev. 0.
6 Calculation, "Sensitivity Analysis of Homogenized Fuel Region", Transnuclear, Inc.,
6   Calculation, "Sensitivity Analysis of Homogenized Fuel Region", Transnuclear, Inc.,
Calculation No. 1095-84, Rev. 1.
Calculation No. 1095-84, Rev. 1.
7   Calculation, "NUHOMS 32PHB Weight Calculation of DSC/TC System", Transnuclear, Inc., Calculation No. NUH32PHB-0201, Rev. 0.
7 Calculation, "NUHOMS 32PHB Weight Calculation of DSC/TC System", Transnuclear, Inc., Calculation No. NUH32PHB-0201, Rev. 0.
8   Calculation, "Fuel Effective Thermal Properties for 32PHB DSC Design", Transnuclear, Inc., Calculation No. NUH32PHB-0407, Rev. 0.
8 Calculation, "Fuel Effective Thermal Properties for 32PHB DSC Design", Transnuclear, Inc., Calculation No. NUH32PHB-0407, Rev. 0.
9   ASME Boiler and Pressure Vessel Code, Section II,Part D, "Material Properties", 1998.
9 ASME Boiler and Pressure Vessel Code, Section II, Part D, "Material Properties", 1998.
10 Specification, "Procurement Specification for Borated Aluminum Sheets for the NUHOMS -32P Dry Shielded Canister", Transnuclear, Inc., Specification No. E-20112, Rev. 3.
10 Specification, "Procurement Specification for Borated Aluminum Sheets for the NUHOMS -32P Dry Shielded Canister", Transnuclear, Inc., Specification No. E-20112, Rev. 3.
11 Calculation, "Thermal Analysis of NUH61 BTH DSC in HSM-H Storage Module",
11 Calculation, "Thermal Analysis of NUH61 BTH DSC in HSM-H Storage Module",
Transnuclear, Inc., Calculation No. NUH61BTH-0421, Rev. 0.
Transnuclear, Inc., Calculation No. NUH61BTH-0421, Rev. 0.
12 Rohsenow, Hartnett, Cho, "Handbook of Heat Transfer", 3 rd Edition, 1998.
12 Rohsenow, Hartnett, Cho, "Handbook of Heat Transfer", 3 rd Edition, 1998.
13 Report, "Topical Report on Actinide-Only Burnup Credit for PWR Spent Fuel Nuclear Fuel Packages", Office of Civilian Radioactive Waste Management, DOE/RW-0472, Revision 2, September 1998.
13 Report, "Topical Report on Actinide-Only Burnup Credit for PWR Spent Fuel Nuclear Fuel Packages", Office of Civilian Radioactive Waste Management, DOE/RW-0472, Revision 2, September 1998.
14 Kreith, Frank, "Principles of Heat Transfer", 3 rd Edition, 1973.
14 Kreith, Frank, "Principles of Heat Transfer", 3 rd Edition, 1973.
15 ANSYS computer code and On-Line User's Manuals, Version 10.0.
15 ANSYS computer code and On-Line User's Manuals, Version 10.0.


Calculation No.: NUH32PHB-0403 Calculation                 Revision No.: 1 AR EVA                                                         Page: 8of56 16 Calculation, "Thermal Evaluation of NUHOMS 32PHB Transfer Cask for Normal, Off Normal, and Accident Conditions", Transnuclear, Inc., Calculation No. NUH32PHB-0402, Rev. 1.
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17 Calvert Cliffs Independent Spent Fuel Storage Installation Updated Safety Analysis Report, Rev.17.
NUH32PHB-0403 Calculation Revision No.:
1 AR EVA Page:
8of56 16 Calculation, "Thermal Evaluation of NUHOMS 32PHB Transfer Cask for Normal, Off Normal, and Accident Conditions", Transnuclear, Inc., Calculation No. NUH32PHB-0402, Rev. 1.
17 Calvert Cliffs Independent Spent Fuel Storage Installation Updated Safety Analysis Report, Rev.17.


Calculation No.: NUH32PHB-0403 Calculation                 Revision No.: 1 AR EVA                                                               Page: 9of56 3.0     ASSUMPTIONS AND CONSERVATISM The assumptions and conservatism considered for 32PHB DSC model are the same as those assumed in the 32P DSC model [5, 6] except additional assumptions as below:
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NUH32PHB-0403 Calculation Revision No.:
1 AR EVA Page:
9of56 3.0 ASSUMPTIONS AND CONSERVATISM The assumptions and conservatism considered for 32PHB DSC model are the same as those assumed in the 32P DSC model [5, 6] except additional assumptions as below:
* Axial decay heat profile is based on axial burnup distribution of VAP fuel assemblies with maximum peaking factor of 1.101 [2].
* Axial decay heat profile is based on axial burnup distribution of VAP fuel assemblies with maximum peaking factor of 1.101 [2].
* Active fuel length for fuel assemblies (FA) is 136.7"and located at 6" from the bottom of the fuel assembly [2]. The position of active fuel in the 32PHB DSC model is assumed 7.0" from the bottom of the basket, which maximizes radial heat dissipation through the DSC shell to bound the maximum component temperatures conservatively.
* Active fuel length for fuel assemblies (FA) is 136.7"and located at 6" from the bottom of the fuel assembly [2]. The position of active fuel in the 32PHB DSC model is assumed 7.0" from the bottom of the basket, which maximizes radial heat dissipation through the DSC shell to bound the maximum component temperatures conservatively.
Line 410: Line 836:
0 0.20" axial gap between the bottom of the basket and the DSC bottom inner cover plate.
0 0.20" axial gap between the bottom of the basket and the DSC bottom inner cover plate.
This gap is larger than the fabrication tolerances to bound the maximum basket component temperatures conservatively by minimizing axial heat transfer through the DSC bottom plates.
This gap is larger than the fabrication tolerances to bound the maximum basket component temperatures conservatively by minimizing axial heat transfer through the DSC bottom plates.
* 1.50" axial distance between the top of the basket and the DSC top inner cover plate.
1.50" axial distance between the top of the basket and the DSC top inner cover plate.
The conservative assumption is that the heat transfer between the top basket and the inner cover plate only occurs by condition through cavity gas.
The conservative assumption is that the heat transfer between the top basket and the inner cover plate only occurs by condition through cavity gas.
* 0.01" axial air gap between shield plugs and DSC cover plates. This gap is larger than the contact gap tolerances and therefore conservative.
* 0.01" axial air gap between shield plugs and DSC cover plates. This gap is larger than the contact gap tolerances and therefore conservative.
* 0.27" diametrical hot gap between the basket outer surface and the DSC inner surface.
0.27" diametrical hot gap between the basket outer surface and the DSC inner surface.
This assumption is justified in APPENDIX A. A 0.30" helium gap is modeled in the 32PHB DSC model and an effective conductivity is used for the elements that represent the 0.27" helium gaps (see Section 5.1.3).
This assumption is justified in APPENDIX A. A 0.30" helium gap is modeled in the 32PHB DSC model and an effective conductivity is used for the elements that represent the 0.27" helium gaps (see Section 5.1.3).
* 0.01" contact gap on either side of the paired aluminum/poison basket plates. This gap is larger than the contact gap tolerances and therefore conservative. This contact gap is modeled by 0.02" and an effective conductivity is used for the elements that represent the 0.01" helium gaps (see Section 5.1.3).
0.01" contact gap on either side of the paired aluminum/poison basket plates. This gap is larger than the contact gap tolerances and therefore conservative. This contact gap is modeled by 0.02" and an effective conductivity is used for the elements that represent the 0.01" helium gaps (see Section 5.1.3).
a DSC cavity length is modeled as 159.5" which is slightly longer than nominal cavity length from [7]. This assumption conservatively increases thermal resistance between the top of the basket and the DSC top inner cover plate.
a DSC cavity length is modeled as 159.5" which is slightly longer than nominal cavity length from [7]. This assumption conservatively increases thermal resistance between the top of the basket and the DSC top inner cover plate.
The major component dimensions are based on nominal sizes of 32PHB basket from [7]. Due to the above conservative assumptions, small dimension differences between the modeling and nominal sizes have an insignificant effect on thermal analysis results in Section 6.0.
The major component dimensions are based on nominal sizes of 32PHB basket from [7]. Due to the above conservative assumptions, small dimension differences between the modeling and nominal sizes have an insignificant effect on thermal analysis results in Section 6.0.
Radial and axial effective conductivities for homogenized 32PHB basket are calculated based on slice models of the baskets described in Section 5.2.
Radial and axial effective conductivities for homogenized 32PHB basket are calculated based on slice models of the baskets described in Section 5.2.


Calculation No.:     NUH32PHB-0403 Revision No.:   1 Page:   10of56 4.0     DESIGN INPUT A thickness of 0.125" and a conductivity of 130 W/m-K (=6.26 Btu/hr-in-&deg;F) is considered for the poison basket plates in this calculation. This poison basket plate is considered to be paired with 0.12" thick aluminum 1100 basket plate. The thermal conductivities for the paired aluminum/poison basket plates are calculated in Section 5.1.3.
Calculation No.:
4.1     Thermal Properties of Materials Material properties used in 32PHB DSC ANSYS model are listed in Table 4-1.
NUH32PHB-0403 Revision No.:
1 Page:
10of56 4.0 DESIGN INPUT A thickness of 0.125" and a conductivity of 130 W/m-K (=6.26 Btu/hr-in-&deg;F) is considered for the poison basket plates in this calculation. This poison basket plate is considered to be paired with 0.12" thick aluminum 1100 basket plate. The thermal conductivities for the paired aluminum/poison basket plates are calculated in Section 5.1.3.
4.1 Thermal Properties of Materials Material properties used in 32PHB DSC ANSYS model are listed in Table 4-1.
The effective thermal conductivities for basket components in 32PHB DSC model are calculated in Section 5.1.3.
The effective thermal conductivities for basket components in 32PHB DSC model are calculated in Section 5.1.3.
The peaking factors used in the finite element model to create axial heat profile for the fuel assemblies are discussed in Section 5.1.4.
The peaking factors used in the finite element model to create axial heat profile for the fuel assemblies are discussed in Section 5.1.4.
The effective properties of the 32PHB basket are calculated in Section 5.2. These properties are used in transient analysis.
The effective properties of the 32PHB basket are calculated in Section 5.2. These properties are used in transient analysis.
Table 4-1       Material Numbers in ANSYS Model for the 32PHB DSC Component                                                           Material               Material Homogenized Fuel Assembly (137.6" Active Fuel Length)                   1     Effective conductivity Solid Rails                                                             3     Al 6061 Top/Bottom Shielding                                                   5     Lead Cavity Gas (Excluding 0.01" NA contact gaps)                           7     Cavity Gas (Helium/Nitrogen)
Table 4-1 Material Numbers in ANSYS Model for the 32PHB DSC Component Material Material Homogenized Fuel Assembly (137.6" Active Fuel Length) 1 Effective conductivity Solid Rails 3
Rail Edge Space                                                       70     Cavity Gas (Helium/Nitrogen)
Al 6061 Top/Bottom Shielding 5
DSC Shell and End Cover Plates                                         12     SA-240, Type 304 Axial gap gas between end cover plates (0.01" gap)                     17     Air DSC-Rail Gap (0.27")                                                   72     Effective conductivity Al/Poison Contact Gaps, 900-2700 orientation (0.01"")                 19     Effective conductivity Al/Poison Contact Gaps, 00-1800 orientation (0.01")                   29     Effective conductivity Guide Sleeve, 900-2700 orientation (0.1874")                           31     Effective conductivity Guide Sleeve, 00-1800 orientation (0.1874")                           32     Effective conductivity Steel Bar Plates, 900-2700 orientation (0.25")                         41     Effective conductivity Steel Bar Plates, 00-1800 orientation (0.25")                         42     Effective conductivity Al/Poison Plates, 900-2700 orientation (0.125" Poison/0.12" All 100)   53     Effective conductivity Al/Poison Plates, 00-1800 orientation (0.125" Poison/0.12" All 100)   54     Effective conductivity Al Basket Plates, 900-2700 orientation (0.25")                         55     Effective conductivity Al Basket Plates, 00-1800 orientation(0.25")                           56     Effective conductivity
Lead Cavity Gas (Excluding 0.01" NA contact gaps) 7 Cavity Gas (Helium/Nitrogen)
Rail Edge Space 70 Cavity Gas (Helium/Nitrogen)
DSC Shell and End Cover Plates 12 SA-240, Type 304 Axial gap gas between end cover plates (0.01" gap) 17 Air DSC-Rail Gap (0.27")
72 Effective conductivity Al/Poison Contact Gaps, 900-2700 orientation (0.01"")
19 Effective conductivity Al/Poison Contact Gaps, 00-1800 orientation (0.01")
29 Effective conductivity Guide Sleeve, 900-2700 orientation (0.1874")
31 Effective conductivity Guide Sleeve, 00-1800 orientation (0.1874")
32 Effective conductivity Steel Bar Plates, 900-2700 orientation (0.25")
41 Effective conductivity Steel Bar Plates, 00-1800 orientation (0.25")
42 Effective conductivity Al/Poison Plates, 900-2700 orientation (0.125" Poison/0.12" All 100) 53 Effective conductivity Al/Poison Plates, 00-1800 orientation (0.125" Poison/0.12" All 100) 54 Effective conductivity Al Basket Plates, 900-2700 orientation (0.25")
55 Effective conductivity Al Basket Plates, 00-1800 orientation(0.25")
56 Effective conductivity


Calculation No.:   NUH32PHB-0403 Calculation                   Revision No.:     1 AR EVA                                                                     Page:   11 of 56 Thermal property values used in this calculation are listed in Table 4-2 through Table 4-8.
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Table 4-2     Thermal Properties of Homogenized Fuel Assembly in Helium [8]
NUH32PHB-0403 Calculation Revision No.:
Temperature       Transverse Conductivity         Axial Conductivity       Density       Specific Heat (0F)       (Btu/hr-in-OF)   (Btu/hr-in-&deg;F)     (Ibm/in )       (Btu/Ibm-&deg;F) 136.40           0.0202 231.08           0.0237 326.54           0.0277 422.72           0.0324 519.44           0.0378           0.0601         0.1308           0.0576 616.70           0.0440 714.48           0.0508 812.62           0.0583 911.07           0.0665 1009.76         0.0754 Table 4-3       SA 240/SA-479 Type 304 Stainless Steel Thermal Properties [4, 9]
1 AR EVA Page:
Temperature             Thermal conductivity       Density     Specific Heat (OF)                     (Btu/hr-ft-&deg;F)         FIbm/in     (Btu/lbm-&deg;F) 70                           8.6                               0.114 100                           8.7                               0.114 200                           9.3                               0.119 300                           9.8                               0.122 400                           10.4               0.29           0.126 500                           10.9                               0.128 600                           11.3                               0.130 700                           11.8                               0.132 800                           12.2                               0.132 900                           12.7                               0.134 1000                           13.2                               0.136
11 of 56 Thermal property values used in this calculation are listed in Table 4-2 through Table 4-8.
Table 4-2 Thermal Properties of Homogenized Fuel Assembly in Helium [8]
Transverse Axial Temperature Conductivity Conductivity Density Specific Heat (0F)
(Btu/hr-in-OF)
(Btu/hr-in-&deg;F)
(Ibm/in )
(Btu/Ibm-&deg;F) 136.40 0.0202 231.08 0.0237 326.54 0.0277 422.72 0.0324 519.44 0.0378 0.0601 0.1308 0.0576 616.70 0.0440 714.48 0.0508 812.62 0.0583 911.07 0.0665 1009.76 0.0754 Table 4-3 SA 240/SA-479 Type 304 Stainless Steel Thermal Properties [4, 9]
Temperature Thermal conductivity Density Specific Heat (OF)
(Btu/hr-ft-&deg;F)
FIbm/in (Btu/lbm-&deg;F) 70 8.6 0.114 100 8.7 0.114 200 9.3 0.119 300 9.8 0.122 400 10.4 0.29 0.126 500 10.9 0.128 600 11.3 0.130 700 11.8 0.132 800 12.2 0.132 900 12.7 0.134 1000 13.2 0.136


Calculation No.:     NUH32PHB-0403 Revision No.:     1 Page:     12of56 Table 4-4       Aluminum Alloys Thermal Properties [4, 9]
Calculation No.:
A11100             A16061       AI1100           A16061         AI1100/AI6061 Temperature                 Thermal Conductivity         Specific Specific Heat           Density (OF)             (Btu/hr-ft-&deg;F)     (Btu/hr-ft-&deg;F)         (Btu/ Ibm-&deg;F)                 (Ibm/ins) 70                 133.1             96.1         0.214           0.213 100                 131.8             96.9         0.216           0.215 150                 130.0             98.0         0.219           0.218 200                 128.5             99.0         0.222           0.221               0.098 250                 127.3             99.8         0.224           0.223 300                 126.2             100.6         0.227           0.226 350                 125.3             101.3         0.229           0.228 400                 124.5             101.9         0.232           0.230 Table 4-5         Helium Thermal Conductivity Temperature       Thermal conductivity       Temperature       Thermal conductivity (K)               (W/m-K) [12]             (OF)             (Btu/hr-in-&deg;F) [4]
NUH32PHB-0403 Revision No.:
300                     0.1499                 80                   0.0072 400                     0.1795               260                   0.0086 500                     0.2115               440                   0.0102 600                     0.2466               620                   0.0119 800                     0.3073               980                   0.0148 1000                   0.3622               1340                   0.0174 1050                   0.3757               1430                   0.0181 The above data are calculated based on the following polynomial function from [12].
1 Page:
k = IC, T' for conductivity in (W/m-K) and T in (K)
12of56 Table 4-4 Aluminum Alloys Thermal Properties [4, 9]
For 300 < T < 500 K                           for 500< T < 1050 K CO           -7.761491 E-03                     CO         -9.0656E-02 Cl           8.66192033E-04                     Cl         9.37593087E-04 C2           -1.5559338E-06                     C2         -9.13347535E-07 C3           1.40150565E-09                   C3         5.55037072E-10 C4           0.OE+00                           C4         -1.26457196E-13
A11100 A16061 AI1100 A16061 AI1100/AI6061 Temperature Thermal Conductivity Specific Specific Heat Density (OF)
(Btu/hr-ft-&deg;F)
(Btu/hr-ft-&deg;F)
(Btu/ Ibm-&deg;F)
(Ibm/ins) 70 133.1 96.1 0.214 0.213 100 131.8 96.9 0.216 0.215 150 130.0 98.0 0.219 0.218 200 128.5 99.0 0.222 0.221 0.098 250 127.3 99.8 0.224 0.223 300 126.2 100.6 0.227 0.226 350 125.3 101.3 0.229 0.228 400 124.5 101.9 0.232 0.230 Table 4-5 Helium Thermal Conductivity Temperature Thermal conductivity Temperature Thermal conductivity (K)
(W/m-K) [12]
(OF)
(Btu/hr-in-&deg;F) [4]
300 0.1499 80 0.0072 400 0.1795 260 0.0086 500 0.2115 440 0.0102 600 0.2466 620 0.0119 800 0.3073 980 0.0148 1000 0.3622 1340 0.0174 1050 0.3757 1430 0.0181 The above data are calculated based on the following polynomial function from [12].
k = IC, T'
for conductivity in (W/m-K) and T in (K)
For 300 < T < 500 K for 500< T < 1050 K CO  
-7.761491 E-03 CO  
-9.0656E-02 Cl 8.66192033E-04 Cl 9.37593087E-04 C2  
-1.5559338E-06 C2  
-9.13347535E-07 C3 1.40150565E-09 C3 5.55037072E-10 C4 0.OE+00 C4  
-1.26457196E-13


Calculation No.:     NUH32PHB-0403 Calculation                         Revision No.:     1 AR EVA                                                                   Page:     13 of 56 Table 4-6       Air Thermal Conductivity Temperature     Thermal conductivity       Temperature       Thermal conductivity (K)             (W/m-K) [12]                 (OF)           (Btu/hr-in-OF) [4]
Calculation No.:
250               0.02228                   -10                 0.0011 300               0.02607                     80                 0.0013 400               0.03304                   260                 0.0016 500               0.03948                   440                 0.0019 600               0.04557                   620                 0.0022 800               0.05698                   980                 0.0027 1000               0.06721                   1340                 0.0032 The above data are calculated based on the following polynomial function from [12].
NUH32PHB-0403 Calculation Revision No.:
k =   C,T'     for conductivity in (W/m-K) and T in (K)
1 AR EVA Page:
For 250 < T < 1050 K Co               -2.2765010E-03 Ci               1.2598485E-04 C2               -1.4815235E-07 C3               1.7355064E-1 0 C4.             -1.0666570E-13 C5               2.4766304E-17 Table 4-7     Nitrogen Thermal Conductivity [4, 12]
13 of 56 Table 4-6 Air Thermal Conductivity Temperature Thermal conductivity Temperature Thermal conductivity (K)
Temp         Thermal conductivity (OF)             (Btu/hr-in-&deg;F) 200                 1.47E-03 300                 1.64E-03 400                 1.80E-03 500                 1.95E-03 600                 2.1OE-03 700                 2.24E-03 800                 2.37E-03 900                 2.50E-03 1000                 2.63E-03 1100                 2.75E-03
(W/m-K) [12]
(OF)
(Btu/hr-in-OF) [4]
250 0.02228  
-10 0.0011 300 0.02607 80 0.0013 400 0.03304 260 0.0016 500 0.03948 440 0.0019 600 0.04557 620 0.0022 800 0.05698 980 0.0027 1000 0.06721 1340 0.0032 The above data are calculated based on the following polynomial function from [12].
k =
C,T' for conductivity in (W/m-K) and T in (K)
For 250 < T < 1050 K Co  
-2.2765010E-03 Ci 1.2598485E-04 C2  
-1.4815235E-07 C3 1.7355064E-1 0 C4.  
-1.0666570E-13 C5 2.4766304E-17 Table 4-7 Nitrogen Thermal Conductivity [4, 12]
Temp Thermal conductivity (OF)
(Btu/hr-in-&deg;F) 200 1.47E-03 300 1.64E-03 400 1.80E-03 500 1.95E-03 600 2.1OE-03 700 2.24E-03 800 2.37E-03 900 2.50E-03 1000 2.63E-03 1100 2.75E-03


Calculation No.:   NUH32PHB-0403 Calculation                         Revision No.: 1 AR EVA                                                                             Page:   14 of 56 Table 4-8         Thermal Properties of Lead (ASTM B29) [4]
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Temp         Temp             p                     K                   Cp (K)           (OF)         (lb/in 3)         (Btu/hr-in-OF)       (Btu/lb-&deg;F) 200         -100           0.413                 1.767               0.0299 250           -10           0.411                 1.733               0.0303 300           80           0.409                 1.700               0.0308 400           260           0.406                 1.637               0.0315 500           440           0.402                 1.579               0.0327 600           620           0.398                 1.512               0.0339 4.2     Design Criteria Maximum fuel cladding temperatures are in accordance with the guidance in ISG-1 1, Rev.3 [3],
NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page:
14 of 56 Table 4-8 Thermal Properties of Lead (ASTM B29) [4]
Temp Temp p
K Cp (K)
(OF)
(lb/in3)
(Btu/hr-in-OF)
(Btu/lb-&deg;F) 200  
-100 0.413 1.767 0.0299 250  
-10 0.411 1.733 0.0303 300 80 0.409 1.700 0.0308 400 260 0.406 1.637 0.0315 500 440 0.402 1.579 0.0327 600 620 0.398 1.512 0.0339 4.2 Design Criteria Maximum fuel cladding temperatures are in accordance with the guidance in ISG-1 1, Rev.3 [3],
which are specified in [4] and shown in Table 4-9.
which are specified in [4] and shown in Table 4-9.
Table 4-9         Maximum Fuel Cladding Temperature Limits for 32PHB DSC Thermal Analyses Operating Condition Normal Cold '
Table 4-9 Maximum Fuel Cladding Temperature Limits for 32PHB DSC Thermal Analyses Operating Condition Ambient Temperature (F)[4 Fuel Cladding Limit (OF)
                                                            -8
Cold ' ]
                                                                  ]
Hot U*)
Ambient Temperature (F)[4 Hot U*)
1
104 1
Fuel Cladding Limit (OF)
[3]
[3]
752 Storage                 Off-Normal                   -8                 104                     1058 Accident (Blocked Vent)             -8                 104                     1058 Transfer             Normal/Off-Normal                 -8                 104                       752 Accident (Fire)               n/a                 104                     1058 Within Fuel Building]
Normal
(1)         DSC  in DSC/TC
-8 104 752 Storage Off-Normal  
                      ,water in Vertical TC (w/o annulus)                 100()
-8 104 1058 Accident (Blocked Vent)  
00(2)                                752 Notes:
-8 104 1058 Transfer Normal/Off-Normal  
-8 104 752 Accident (Fire) n/a 104 1058 Within Fuel Building]
DSC in Vertical TC (w/o 00(2)
(1)  
,water in DSC/TC annulus) 100()
752 Notes:
(1) Operations within fuel building when DSC is located in the TC in vertical orientation are considered normal conditions.
(1) Operations within fuel building when DSC is located in the TC in vertical orientation are considered normal conditions.
(2) An average ambient temperature within fuel building [4].
(2) An average ambient temperature within fuel building [4].
(3) Ambient air temperatures ranging from -8 to 104 0 F are conservative compared to the ambient air temperature range from -3 to 103 0 F in [17], Section 12.3.6.
(3)
Ambient air temperatures ranging from -8 to 1040F are conservative compared to the ambient air temperature range from -3 to 1030F in [17], Section 12.3.6.
Materials of the 32PHB basket can be subjected to a minimum environment temperature of -81F
Materials of the 32PHB basket can be subjected to a minimum environment temperature of -81F
(-22.20C) without any adverse effects.
(-22.20C) without any adverse effects.


Calculation No.: NUH32PHB-0403 Calculation                 Revision No.: 1 AR EVA                                                           Page: 15 of 56 5.0     METHODOLOGY Thermal evaluations for 32PHB DSC in the HSM-HB are performed based on a finite element model using ANSYS computer code [15]. This model is described in the following sections.
Calculation No.:
5.1     32PHB DSC Model A half-symmetric, three-dimensional finite element model of 32PHB DSC (DSC shell and basket) is developed using ANSYS [15]. The model contains the DSC shell, the cover plates, shield plugs, aluminum rails, basket plates, and homogenized fuel assemblies. Only SOLID70 elements are used in the 32PHB DSC model.
NUH32PHB-0403 Calculation Revision No.:
1 AR EVA Page:
15 of 56 5.0 METHODOLOGY Thermal evaluations for 32PHB DSC in the HSM-HB are performed based on a finite element model using ANSYS computer code [15]. This model is described in the following sections.
5.1 32PHB DSC Model A half-symmetric, three-dimensional finite element model of 32PHB DSC (DSC shell and basket) is developed using ANSYS [15]. The model contains the DSC shell, the cover plates, shield plugs, aluminum rails, basket plates, and homogenized fuel assemblies. Only SOLID70 elements are used in the 32PHB DSC model.
The geometry of the 32PHB DSC model and its mesh density are shown in Figure 5-1 through Figure 5-4.
The geometry of the 32PHB DSC model and its mesh density are shown in Figure 5-1 through Figure 5-4.
The sensitivity of mesh density on temperature distribution of the NUHOMS-32P DSC components is investigated in [6]. The results shows that the maximum fuel cladding temperature change is within 1IF for 14x14 fine mesh density compared to the coarse mesh densities between 5x5 and 6x6. Hence, a mesh density of 14x14 in the 32PHB DSC model is reasonable and acceptable.
The sensitivity of mesh density on temperature distribution of the NUHOMS-32P DSC components is investigated in [6]. The results shows that the maximum fuel cladding temperature change is within 1IF for 14x14 fine mesh density compared to the coarse mesh densities between 5x5 and 6x6. Hence, a mesh density of 14x14 in the 32PHB DSC model is reasonable and acceptable.


Calculation No.:     NUH32PHB-0403 Calculation                         Revision No.:     1 AR EVA                                                                         Page:   16of56 Canister Length - 173.5" Cavity Length - 159.5" Basket Length - 157.8" Antiva FuAl I Annth .137 A" Top Cover Plate Lead Casing                                                                                              Lead Casing Top Plate toead Shielding Lead Shielding 0.25" SS Plate     Inner Cover Plate  Lead Casing Lead Casing Shell Bottom Cover Plate DSC Shell  Al Rail                                              Side Plate Mesh Density Figure 5-1     Finite Element Model of 32PHB DSC
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NUH32PHB-0403 Calculation Revision No.:
1 AR EVA Page: 16of56 Canister Length - 173.5" Cavity Length - 159.5" Basket Length - 157.8" Antiva FuAl I Annth.137 A" Lead Casing Lead Shielding Lead Casing Shell Bottom Cover Plate DSC Shell Al Rail Top Cover Plate Lead Casing Top Plate toead Shielding Lead Casing Side Plate 0.25" SS Plate Inner Cover Plate Mesh Density Figure 5-1 Finite Element Model of 32PHB DSC


Calculation No.: NUH32PHB-0403 Calculation                           Revision No.: 1 AR EVA                                                                                 Page: 17 of 56 Al Basket Plate, 90-270 Orientation SGuide Sleeve, 90-270 Orientation BA Plate, 0-180 Orientation X0
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              ~~~~~~Helium 90-170       Contact Gap, e Plt     Lo Orientationas            s Mesh Density Figure 5-2           32PHB DSC Model-                   rSection
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17 of 56 Al Basket Plate, 90-270 Orientation SGuide Sleeve, 90-270 Orientation X0 BA Plate, 0-180 Orientation
~~~~~~Helium Contact Gap, 90-170 Orientationas e Plt Lo s
Mesh Density Figure 5-2 32PHB DSC Model-rSection


Calculation No.:     NUH32PHB-0403 Calculation                       Revision No.:     1 AREVA                                                             Page:   18of56 m   DSC
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      /Al Shell      Rail
NUH32PHB-0403 Calculation Revision No.:
                    /         Diametrical Gap
1 AREVA Page:
                            ,/(0.30" in the Model)
18of56 DSC Shell m  
Homogenized Fuel Assembly Rail Edge Space 53                 53Contact                                       Gap (0.02" in the Model)
/Al Rail
Figure 5-3     32PHB DSC Model - Gaps in the Basket
/
Diametrical Gap
,/(0.30" in the Model)
Homogenized Fuel Assembly Rail Edge Space 53 53Contact Gap (0.02" in the Model)
Figure 5-3 32PHB DSC Model - Gaps in the Basket


A                                 Calculation Calculation No.:
A AREVA Calculation Calculation No.:
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NUH32PHB-0403 Revision No.:
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1 Page:
NUH32PHB-0403 1
19 of 56 0.01" Axial Gap between Bottom End Plates 0.2" Axial Gap between Basket Bottom and Bottom Cover Plate 0.30" Diametrical Gap between Bottom Shielding and DSC Shell (a) DSC Bottom End Plates 0.01" Axial Gap between DSC Top End Plates I
19 of 56 AREVA 0.01" Axial Gap between           0.2" Axial Gap between Basket Bottom Bottom End Plates                    and Bottom Cover Plate 0.30" Diametrical Gap between Bottom Shielding and DSC Shell (a) DSC Bottom End Plates 0.01" Axial Gap between DSC Top End Plates I                                 "
1.5" Axial Gap between Basket Top and Inner Cover Plate 0.30" Diametrical Gap between Top Shielding and DSC Shell (b) DSC Top End Plates Figure 5-4 32PHB DSC Model-Axial Gaps at DSC Ends
1.5" Axial Gap between Basket Top and Inner Cover Plate                 0.30" Diametrical Gap between Top Shielding and DSC Shell (b) DSC Top End Plates Figure 5-4       32PHB DSC Model- Axial Gaps at DSC Ends


Calculation No.:   NUH32PHB-0403 Calculation                     Revision No.: 1 AR EVA                                                                 Page: 20 of 56 5.1.1     Heat Generation Decay heat load is applied as heat generation load over the elements representing homogenized fuel assemblies.
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20 of 56 5.1.1 Heat Generation Decay heat load is applied as heat generation load over the elements representing homogenized fuel assemblies.
The heat generation rates used in this analysis is calculated as follows.
The heat generation rates used in this analysis is calculated as follows.
0~ =(   q xPFj~xCF         (5.1)
0~ =(
q xPFj~xCF (5.1)
Where q = Decay heat load per assembly defined for each loading zone, a = Width of the homogenized fuel assembly = 8.5",
Where q = Decay heat load per assembly defined for each loading zone, a = Width of the homogenized fuel assembly = 8.5",
La =Active fuel length = 136.7" [4],
La =Active fuel length = 136.7" [4],
PF = Peaking factor, see Section 5.1.4 for distribution of peaking factor, CF = correction factor = 1.0 assumed for 32PHB basket (see Section 5.1.4).
PF = Peaking factor, see Section 5.1.4 for distribution of peaking factor, CF = correction factor = 1.0 assumed for 32PHB basket (see Section 5.1.4).
The heat generation rates used in 32PHB DSC model are listed in Table 5-1.
The heat generation rates used in 32PHB DSC model are listed in Table 5-1.
Table 5-1       Heat Generation Rates for 32PHB Basket Heat Generation 3
Table 5-1 Heat Generation Rates for 32PHB Basket Heat Generation Rate Heat Load in the Model Btu/hr-in 3
Rate Heat Load in the Model                         Btu/hr-in (kW)               PF=1.0 (Base)           PF=1.101 (Maximum) 1.0                   0.345                         0.380 0.8                   0.276                         0.304 The base heat generation rate is multiplied by peaking factors along the axial fuel length to represent the axial decay heat profile. The peaking factors from [2] are converted to match the regions defined for the fuel assembly in the finite element model. Section 5.1.4 describes the conversion method and lists the peaking factors used in the 32PHB DSC model.
(kW)
PF=1.0 (Base)
PF=1.101 (Maximum) 1.0 0.345 0.380 0.8 0.276 0.304 The base heat generation rate is multiplied by peaking factors along the axial fuel length to represent the axial decay heat profile. The peaking factors from [2] are converted to match the regions defined for the fuel assembly in the finite element model. Section 5.1.4 describes the conversion method and lists the peaking factors used in the 32PHB DSC model.
The heat generating rates for the elements representing the active fuel are calculated based on the heat load zone configuration (HLZC) for the 32PHB DSC. Figure 5-5 shows the HLZC with maximum heat load of 29.6 kW.
The heat generating rates for the elements representing the active fuel are calculated based on the heat load zone configuration (HLZC) for the 32PHB DSC. Figure 5-5 shows the HLZC with maximum heat load of 29.6 kW.


Calculation No.: NUH32PHB-0403 Calculation               Revision No.: 1 AR EVA                                                     Page: 21 of 56
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* 3 3 3        2         2     3         3 3       22 3               3 Heat Zone Level     No of FA   kW/FA     Total 1               4       0.8       3.2 2               8       1.0       8.0 3               12       1.0       12.0 4               8       0.8       6.4 Total Heat Load, kW                       29.6 Figure 5-5   Heat Load Zoning Configuration (HLZC) for 32PHB DSC with 29.6 kW Heat Load
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1 AR EVA Page:
21 of 56 3
3 3 2
2 3
3 3
22 3
3 Heat Zone Level No of FA kW/FA Total 1
4 0.8 3.2 2
8 1.0 8.0 3
12 1.0 12.0 4
8 0.8 6.4 Total Heat Load, kW 29.6 Figure 5-5 Heat Load Zoning Configuration (HLZC) for 32PHB DSC with 29.6 kW Heat Load


Calculation No.: NUH32PHB-0403 Calculation                 Revision No.: 1 AR EVA                                                             Page: 22 of 56 5.1.2     Boundary Conditions for 32PHB DSC in the HSM-HB and CCNPP-FC TC The HSM-HB to be used for the 32PHB system is the same as the HSM-H described in the UFSAR for standardized NUHOMS system [1]. The HSM-H is used to store a 61 BTH DSC (with a maximum DSC length of 195.8", DSC diameter of 67.25") [11], which has the similar design feature as the 32PHB DSC. The outer diameter of 32PHB DSC is 67.25" and the maximum DSC length is 176.5" that is slightly shorter than the 61 BTH DSC length of 195.8" considered in the HSM-H model for 61 BTH DSC [11]. Because the heat load of 31.2 kW and basket length of 164"are considered in the HSM-H model, the decay heat flux applied in the 61 BTH DSC inner shell in the HSM-H model is slightly higher than that applied in the 32PHB DSC with a maximum heat load of 29.6 kW. The short 32PHB DSC also causes a slightly lower hydraulic resistance within the HSM-H. Therefore, the values derived for DSC shell temperatures from the HSM-H model with 61 BTH DSC in [11] can be used for thermal analysis of 32PHB DSC under storage conditions.
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The DSC shell temperatures for the 31.2 kW heat load in the HSM-H Model provided in [11] are used to map the surface temperatures for 32PHB DSC shell surface temperature via the related macro files listed in Section 8.0, Table 8-2. The DSC shell temperatures based on normal ambient 0&deg;F, off-normal ambient 117 0F (average 105 0 F) and accident blocked vent (40 hours) from the HSM-H model in [i1] are design basis DSC shell temperatures for 32PHB DSC storage conditions. The differences in ambient temperatures between 61 BTH and 32PHB DSCs under storage conditions are minor and have insignificant effects on thermal evaluation of 32PHB DSC.
NUH32PHB-0403 Calculation Revision No.:
1 AR EVA Page:
22 of 56 5.1.2 Boundary Conditions for 32PHB DSC in the HSM-HB and CCNPP-FC TC The HSM-HB to be used for the 32PHB system is the same as the HSM-H described in the UFSAR for standardized NUHOMS system [1]. The HSM-H is used to store a 61 BTH DSC (with a maximum DSC length of 195.8", DSC diameter of 67.25") [11], which has the similar design feature as the 32PHB DSC. The outer diameter of 32PHB DSC is 67.25" and the maximum DSC length is 176.5" that is slightly shorter than the 61 BTH DSC length of 195.8" considered in the HSM-H model for 61 BTH DSC [11]. Because the heat load of 31.2 kW and basket length of 164"are considered in the HSM-H model, the decay heat flux applied in the 61 BTH DSC inner shell in the HSM-H model is slightly higher than that applied in the 32PHB DSC with a maximum heat load of 29.6 kW. The short 32PHB DSC also causes a slightly lower hydraulic resistance within the HSM-H. Therefore, the values derived for DSC shell temperatures from the HSM-H model with 61 BTH DSC in [11] can be used for thermal analysis of 32PHB DSC under storage conditions.
The DSC shell temperatures for the 31.2 kW heat load in the HSM-H Model provided in [11] are used to map the surface temperatures for 32PHB DSC shell surface temperature via the related macro files listed in Section 8.0, Table 8-2. The DSC shell temperatures based on normal ambient 0&deg;F, off-normal ambient 117 0F (average 1050F) and accident blocked vent (40 hours) from the HSM-H model in [i1] are design basis DSC shell temperatures for 32PHB DSC storage conditions. The differences in ambient temperatures between 61 BTH and 32PHB DSCs under storage conditions are minor and have insignificant effects on thermal evaluation of 32PHB DSC.
The 32PHB DSC shell temperatures for normal, off-normal, and accident transfer operations are retrieved from the CCNPP-FC TC model described in [16].
The 32PHB DSC shell temperatures for normal, off-normal, and accident transfer operations are retrieved from the CCNPP-FC TC model described in [16].
Typical boundary conditions for 32PHB DSC model are shown in Figure 5-6.
Typical boundary conditions for 32PHB DSC model are shown in Figure 5-6.


Calculation No.:   NUH32PHB-0403 Calculation             Revision No.:   1 AR EVA                                             Page:   23 of 56 AELEMENTS HGEN RATES QMIN-0 QMAX-. 380389 T EMP, 0.042265
Calculation No.:
                                                            .084531 i  .126796
NUH32PHB-0403 Calculation Revision No.:
                                                            .169062
1 AR EVA Page:
                                                            .211327 J.253593
23 of 56 AELEMENTS HGEN RATES QMIN-0 QMAX-. 380389 T EMP, 0.042265
[--       295858
.084531
                                                            .338124
.126796 i
                                                            .380389 AN           ELEMENTS AN         ELEMENTS HGEN RATES QMIN-. 304035 QMX-. 380389 HGEN RATES QMIN-.044223                                             .3025 QMAX-.380389                                               321003
.169062
                        .044223                                           .329486
.211327 J.253593
                                                                            .346454
[--
                        .081575
295858
                        .l118927 MN                                       .354938
.338124
                        .156279                                           .380389 1 10 .371905 S.19363
.380389 AN ELEMENTS HGEN RATES AN ELEMENTS QMIN-. 304035 HGEN RATES QMX-. 380389 QMIN-.044223  
                        .230982 268334
.3025 QMAX-.380389 321003
                        .ZI EJ 305686
.044223  
                        .343037
.329486
:380389   ME U..
.081575
.346454
.l118927 MN  
.354938
.156279 1  
.371905 S.19363 10.380389
.230982
.ZI 268334 EJ 305686
.343037
:380389 MEU..
U.
U.
Figure 5-6 Typical Boundary Conditions for 32PHB DSC
Figure 5-6 Typical Boundary Conditions for 32PHB DSC


Calculation No.:   NUH32PHB-0403 Calculation                         Revision No.:   1 AR EVA                                                                                   Page:   24 of 56 5.1.3           Effective Conductivity for Basket Components with Modified Thickness The effective conductivities of basket components used in the analysis are determined based on modified thicknesses as summarized in Table 5-2.
Calculation No.:
Table 5-2         32PHB Basket Component Thicknesses Components               Thickness,     inch Model           Nominal           ANSYS Material No (tiodel)         (tl~esian)
NUH32PHB-0403 Calculation Revision No.:
AI/Poison Contact Gap                       0.02             0.01                 19, 29 Guide Sleeve                             0.1674           0.1874                   31,32 Basket SS Plate                           0.1874             0.25                 41,42 Al/Poison Plate                           0.1874             0.245                 53, 54 Basket All 100 Plate                     0.1874             0.25                 55, 56 DSC-Rail Diametrical Gap                   0.30             0.27                   72 The effective thermal conductivities for the basket components in 32PHB DSC model are calculated as follows:
1 AR EVA Page:
: k. ,,_-... k parallel
24 of 56 5.1.3 Effective Conductivity for Basket Components with Modified Thickness The effective conductivities of basket components used in the analysis are determined based on modified thicknesses as summarized in Table 5-2.
                        ~ x tDesignsg (5.2) along the plane (parallel resistance),
Table 5-2 32PHB Basket Component Thicknesses Components Thickness, inch Model Nominal ANSYS Material No (tiodel)
t Model k across X t Model k eff,across                                              (5.3)     across the thickness (serial resistance) t Design Where kparalel       = thermal conductivity along the plane for basket component (Btu/hr-in-&deg;F),
(tl~esian)
kacross       = thermal conductivity across the thickness for basket component (Btu/hr-in-&deg;F),
AI/Poison Contact Gap 0.02 0.01 19, 29 Guide Sleeve 0.1674 0.1874 31,32 Basket SS Plate 0.1874 0.25 41,42 Al/Poison Plate 0.1874 0.245 53, 54 Basket All 100 Plate 0.1874 0.25 55, 56 DSC-Rail Diametrical Gap 0.30 0.27 72 The effective thermal conductivities for the basket components in 32PHB DSC model are calculated as follows:
tOesign       = nominal thickness of basket component (in),
k parallel x tDesign
tModel         = modeled thickness of basket component (in).
: k.  
~
sg k eff,across Where t Model k across X t Model t Design (5.2) along the plane (parallel resistance),
(5.3) across the thickness (serial resistance) kparalel  
= thermal conductivity along the plane for basket component (Btu/hr-in-&deg;F),
kacross  
= thermal conductivity across the thickness for basket component (Btu/hr-in-&deg;F),
tOesign  
= nominal thickness of basket component (in),
tModel  
= modeled thickness of basket component (in).
The conductivities for paired Al/poison basket plates are calculated below:
The conductivities for paired Al/poison basket plates are calculated below:
kA, /Poison, parallel - 'tpk Al X tal tA +
k Al X tal + kPP x tPP =.8Buh-n&deg; kA, /Poison, parallel -
                                          + kPP x tPP =.8Buh-n&deg;
tA +
                                                      =8.28 Btu/hr-in-OF           Along the plane (parallel resistance),
'tp
tAl+ tp <
=8.28 Btu/hr-in-OF t Al+ tp kAI/Poison, across -
kAI/Poison, across -             tIA + tpp       =7.77 Btu/hr-in-&deg;F             Across the thickness (serial resistance) tAl / kA, + tPP / kPP Where k*       =   thermal conductivity for All 100 plate at 400&deg;F = 10.375 Btu/hr-in-&deg;F, kpp =       thermal conductivity of 130 W/m-K for poison plate = 6.26 Btu/hr-in-&deg;F, tAl     =   nominal thickness of Al plate =0.12",
tIA + tpp  
tpp =       nominal thickness of poison plate = 0.125".}}
=7.77 Btu/hr-in-&deg;F tAl / kA, + tPP / kPP Along the plane (parallel resistance),
Across the thickness (serial resistance)
Where k*  
= thermal conductivity for All 100 plate at 400&deg;F = 10.375 Btu/hr-in-&deg;F, kpp  
= thermal conductivity of 130 W/m-K for poison plate = 6.26 Btu/hr-in-&deg;F, tAl  
= nominal thickness of Al plate =0.12",
tpp  
= nominal thickness of poison plate = 0.125".}}

Latest revision as of 13:49, 10 January 2025

NUH32PHB-0403, Revision 1, Thermal Evaluation of NUHOMS 32PHB DSC for Storage and Transfer Conditions
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{{#Wiki_filter:ENCLOSURE11 NUH32PHB-0403, Revision 1, Thermal Evaluation of NUHOMS 32PHB DSC for Storage and Transfer Conditions Calvert Cliffs Nuclear Power Plant March 10, 2015

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 38 of 56 In determining the temperature dependent axial effective conductivities an average temperature, equal to Tavg = (T1 + T2)/2, is used for the basket temperature. The axial effective conductivities for 32PHB basket are listed in Table 5-14. Table 5-14 Effective Axial Conductivity for 32PHB Basket T1 (Ttop) T 2 (Tbottm) Tavq Qreaction kbasket. axl (OF) (OF) (OF) (Btu/hr) (Btu/hr-in-°F) 50 150 100 14918 1.9946 150 250 200 15252 2.0393 250 350 300 15527 2.0760 350 450 400 15747 2.1055 450 550 500 15826 2.1160 550 650 600 15877 2.1228 650 750 700 15928 2.1297 750 850 800 15972 2.1355 850 950 900 16019 2.1418 950 1050 1000 16061 2.1474 5.2.2.2 Radial Effective Thermal Conductivity The basket slice model is also used to calculate the transverse effective thermal conductivity of the basket. For this purpose, constant temperature boundary conditions are applied on the outermost nodes of the slice model and heat generating conditions are applied over the fuel elements. The heat generation rates for the slice model of 32PHB basket are calculated based on the HLZC shown in Figure 5-5 with a total heat load of 29.6 kW and a peaking factor of 1.1 for 32PHB fuel assemblies. The following equation to calculate maximum temperature is given in [14] for long solid cylinders with uniformly distributed heat sources. T = Tý (5.7) With To T ro rk = Temperature at the outer surface of the cylinder (OF), = Maximum temperature of the cylinder (OF), = Heat generation rate (Btu/hr-in 3), = Outer radius = Dbasket /2 = 33.0" for 32PHB basket, = Inner radius, = Conductivity (Btu/hr-in-°F).

A AREVA Calculation Calculation No.: NUH32PHB-0403 Revision No.: 1 Page: 39 of 56 Equation (5.7) is rearranged to calculate the transverse effective conductivity of the basket as follows. Qrad V (5.8) (5.9) baktd Qrad *rO Q Qrad 4.asVet-aAT 27r -L -AT With Qrad = Amount of heat leaving the periphery of the slice model - reaction solution of the outermost nodes (Btu/hr), L = Length of the slice model = 22.86", V = Volume of the slice model = (7cro 2L)/2, AT = (Tmax - To) = Difference between maximum and the outer surface temperatures in (OF). Since the surface area of the fuel assemblies at the basket cross section is much larger than the other components, assuming a uniform heat generation is a reasonable approximation to calculate the radial effective conductivity. Typical applied boundary conditions are shown in Figure 5-9 (b). In determining the temperature dependent transverse effective conductivities an average temperature, equal to (Tmax +To)/2, is used for the basket temperature. The transverse effective conductivities of 32PHB basket are listed in Table 5-15. Table 5-15 Effective Radial Conductivity for 32PHB Basket To TMAX Tava Qreaction kbasket, rad (OF) (OF) [OF] (Btu/hr) (Btu/hr-in-°F) 100 530 315 9298 0.151 200 605 403 9298 0.160 300 683 492 9298 0.169 400 762 581 9298 0.179 500 843 672 9298 0.189 600 926 763 9298 0.199 700 1010 855 9298 0.209 800 1097 949 9298 0.218 900 1189 1045 9298 0.224 1000 1285 1143 9298 0.227

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 40 of 56 6.0 RESULTS For cold normal and cold off-normal storage conditions with -81F ambient temperature, the 32PHB DSC shell temperatures are derived from 61 BTH DSC shell temperatures for normal storage with 0°F ambient temperature and 31.2 kW heat load in the HSM-H model [11]. This approach is conservative and acceptable for thermal evaluation of 32PHB DSC for both cold normal and cold off-normal storage conditions. As discussed in [16], thermal analysis results of 32PHB DSC for hot off-normal transfer condition bounds all normal and off-normal transfer conditions. The maximum 32PHB DSC component temperatures are listed in Table 6-1 for normal, off-normal, and accident storage and transfer conditions. Table 6-1 Maximum 32PHB DSC Component Temperatures Fuel Basket DSC Al/Poison Basket Top Bottom Operating Condition Cladding (Guide Sleeve) (Shell) Plate Rails SPlug Plug Tmax Tmax Tmax Tmax Tmax Tmax Tmax m(F (OF) (OF) (OF) (OF) (OF) Cold (1) 648 626 362 626 372 63 170 Normal Hot (4) <724 <706 <436 <705 <461 <185 <273 Off-Cold (1) 648 626 362 626 372 63 170 Storage Normal Hot (2) 724 706 436 705 461 185 273 Accident Blocked Vent (3) 867 853 595 853 626 344 496 Cold (6) <728 <709 <408 <708 <472 <346 <358 Normal Hot 1040F @ 20 hrs (6) <728 <709 <408 <708 <472 <346 <358 Transfer Off-Cold (6) <728 <709 <408 <708 <472 <346 <358 Normal Hot 1040F@ 20 hrs 728 709 408 708 472 346 358 Accident Fire (7) 932 919 656 919 705 560 570 DSC in Vertical TC @ 733 715 397 715 466 348 365 Within Fuel Building 20 hrs (5) Notes: (1) Based on normal storage with 0°F ambient temperature. (2) (3) (4) Based on off-normal storage with 105OF average ambient temperature. Based on accident storage with 40 hours' blocked vent. Bounded by hot off-normal storage case. (5) An average ambient temperature of 100°F considered within fuel building and no water in DSCITC annulus [4]. (6) Bounded by hot off-normal transfer case @ 20 hrs [16]. (7) Based on steady-state fire accident transfer result [16]. Table 6-2 shows the average temperatures for the 32PHB DSC shell and basket components (including the hottest cross section) for normal, off-normal, and accident storage and transfer conditions.

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 41 of 56 Table 6-2 Average 32PHB DSC Component Temperatures Hottest Section (OF) Whole DSC (OF) Operating DescriptionI R45 R90 Bask. Rail I Helium Fuel Condition (5) (5) (5) (5) Comp. Shell Comp (6) Shell (7) Storage Condition Normal Cold (1) 345 364 341 348 354 491 298 431 332 256 415 474 Hot(4 ) <440 <453 <431 <437 <438 <574 <390 <518 <423 <353 <501 <557 Off-Cold 345 364 341 348 354 491 298 431 332 256 415 474 Normal Hot (2) 440 453 431 437 438 574 390 518 423 353 501 557 Accident Block Vent (3) 614 619 601 607 589 730 567 674 586 523 657 708 Transfer Condition Normal Cold (8) <449 <464 <439 <439 <398 <575 <387 <532 <446 <373 <516 <566 Hot(8) <449 <464 <439 <439 <398 <575 <387 <532 <446 <373 <516 <566 Off-Cold (8) <449 <464 <439 <439 <398 <575 <387 <532 <446 <373 <516 <566 Normal Hot 104°F 449 464 439 439 398 575 387 532 446 373 516 566 @ 20 hrs___ Accident Fire (9) 685 698 678 680 650 799 642 748 670 607 732 778 DSC in Fuel Vertical TC 440 458 440 458 440 583 395 541 442 385 526 575 Ful @ 20 hrs Building (10) Notes: (1) Based on normal storage with 0°F ambient temperature. (2) Based on off-normal storage with 1050F average ambient temperature. (3) Based on accident storage with 40 hours' blocked vent. (4) Bounded by hot off-normal storage case. (5) The locations of the rails are shown in Figure 6-1. (6) Based on maximum average rail temperatures. (7) Based on all components in the DSC cavity. (8) Bounded by hot off-normal transfer case @ 20 hrs [16]. (9) Based on steady-state fire accident transfer result [16]. (10) An average ambient temperature of 100OF considered within fuel building and no water in DSC/TC annulus [4].

Calculation No.: NUH32PHB-0403 Revision No.: 1 Page: 42 of 56 0 1-- RO R45 7Z R90 270 -90 RISS*\\ U. RIO0 p Ido 32PHB Rails Figure 6-1 Location of 32PHB Basket Rails

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 43 of 56 Typical temperature plots for 32PHB DSC components with 29.6 Figure 6-2 to Figure 6-7. AtEiS 10.OA1 SW 92009 15:15:36 PIar NO. 2 NODAL SCEMr IC STEE=-1 SUB =1 Tinl-i S =256.091 SM =647.712 mm256.097 m299.61 343.123 386.635 430. 148 S473.661 517.174 m 560.686 mlm604.199 647:712 kW heat load are shown in ANSYS 10.0O1 SEP 9 2009 15:15:50 PLOT NO. 3 NODAL SOLOUMI STUP-1i 73U =1 TnME=I TEWP SM4 =222. 476 -( =626.106 mR222. 416 267.323 312.171 357.019 m401.861 m 446.715 491.562 536.41 581.258 626.106 AK)Y 10.1AI SEP 92009 15:16:34 PILT NO. 6 N SODAIL= NI STEEI-SUB =1 TMW "m =47.274 SMK =361.945 m47.274 82.238 117.201

  • 152.165 187.128 222.092 E3257.055 m292. 018 326.982 361.945 Fuel Cladding Guide Sleeve AK)YS 10.0A1 SEP 9 2009 15:16:26 FIXr NO. 5 NODAL SCUTTIGC STEP-I SUB =1 TIME=1 IEMF 5"4 =226.168 SW( =371.633 m

226.168 m242.33 258. 493 274. 656 mm290.819 306. 982 323.144 m 339.307 S355.471 371. 633 Basket Rail DSC Shell Figure 6-2 Temperature Plots for 32PHB DSC (Normal Storage @ 0°F, 29.6 kW)

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 44 of 56 AR-S 10.0A1 SEP 9 2009 15:18:54 PTr NO. 12 NODAL SOfLMION STEP=-2 9B =1 TIME=2 TEMP "4 =348.832 SHX =724.161 1348. 832 390.535 1 432.239 473.942 Imn 515.645 r-1557.348 [-1 599.052 -o 640.755 682.458 724.161 HEYS i0.OAl SEP 9 2009 15:19:09 PLOr NO. 13 MLAI SEJTION STEP=2 SUB =1 TME=2 SM =320.095 S3X =705.625 320.095 l 362.932 405.769

  • m448.605 ms491. 442 E

534.279 577.115 S619952 l 662.7189 705., 625 Fuel Cladding Guide Sleeve AM'YS 10.lOA SEP 9 2009 15:19:46 PIT NO. 15 NODAL SW=rIcl STEP=2 JB =1 TIME=2 3MW S =322.808 Sb =460.6 322.808 1 338.119 353.429 368:739 384.049 IS 399.359 414.669 429.98 S445.29 460.6 ANMYS 10.AI SEP 9 2009 15:19:53 PLT NO. 16 lUAL SOUJIGN SIEP--2 S1=i SUB =1 TIME=2 TMV SM =168. 808 S4 =436.187 168.808 S198.511 II 228.226 257.934 Em 287. 643 S317:352 8 347.06 376.8769 m 406.478 436.181 Basket Rail DSC Shell Figure 6-3 Temperature Plots for 32PHB DSC (Off-Normal Storage @ 1040F, 29.6 kW)

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 45 of 56 MM

10. 0OA1 AIMS 10.0A1 SEP 92009 SEP 9 2009 15:22:18 15:22:32 PIrTNO.

22 PfUT NO. 23 NCDAL SOUJTIcU NDAL SOWIOI0K STEP=3 STEP=3 S3B =1 SUB =1 TIlE-I3 TD=3 TEMEI TEMP 3( 5 608.223 3S4 =482.452 -,6 -867.335 9 =853.178 508.23 IBS482.452 548. UN 523.644 588.026 564.836 m 627.927 m 606.027 fu 667.828 647.219 707.13 688.411 747:631D 729.603 787.532 IV-770. 795 827.434 811:987 867.335 853.178 Fuel Cladding Guide Sleeve AMYS 10.Al AM 1S 10.lOA SEP 9 2009 SEP 9 2009 15:23:08 15:23:16 PIDr NO. 25 PfLT NO. 26 NCMA SCXLrI(N NODAL SOIDTIMM STEP=3 STEP=-3 SUB -1 SUB =1 TIME-3 TIM=3 S34 =480. 331 SM( =321.333 S4K -626.411 S3( =595.133 480.331321. 333 496.5U1 351. 755 512:793 382177 ] 529 024 IM 259 545.255 i 443.022 561.486 473.444 F-1577. 117 r --- 503.866 593.949 534.288 610 18 56471 626.411 595.133 Basket Rail DSC Shell Figure 6-4 Temperature Plots for 32PHB DSC (Block Vent @ 40 Hour, 29.6 kW)

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AREVA Page: 46 of 56 MNYS 10.OA1 OCr 21 2009 23:53:56 PLOr NO. 2 NODAL SWOrIcZI ST3,=-1 TIME-I TEWP S41 =365.305 34K -728.373 S365 305 405-646 3 445.986 486.327 526.668 567.009 607.35 647.691 688.032 728.373 NS 10.0A1 wEr 21 2009 23:54: 46 PLOTr NO. 5 NODAL S=ErON STEP-I S3B -1 TM*IE SM3 -355.661 SM4 -472.105 355.661 S368,599 381.537 3 394.476 407.414 420.352 433.29 4467228 459.166 m 472,.105 ANM 10.OAI OCT 21 2009 23:54:10 PLOT NO. 3 NODL SW710l SCrEEOl STEP-I SUB =1 S4 =356.965 S34 -709.067 mm356.965 396.088 435.21 474. 333 513.455 552.578 591.7 630.823 669.945 709.067 A6EYS 10.OAl OCr 21 2009 23:54:53 PLOT NO. 6 NDL S=LfIcZN STEP-i SUB -1 Th4K=1 TEMP -4 -266.6 S4 -407.896 266.6 282.299 297. 999 313.698 329.398 =3345,098 --I360. 797 s 376.497 392.196 407.896 Fuel Cladding Guide Sleeve Basket Rail DSC Shell Figure 6-5 Temperature Plots for 32PHB DSC (Off-Normal Transfer, 1040F @ 20 Hour, 29.6 kW)

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 47 of 56 ANnES 10.CA YS 1.O0A4 OCr 22 2009 Oar 22 2009 00:00:35 00:00:49 PLar NO. 22 PLr NO. 23 STP-3 STP-3 SUB =1 5M =1 TH3 H=3 Toe* TwM -=410.874 S1 -402.47 SW =733.422 SHK =715.42 1 410.874 402.47 44

  • 6713 ll43.242 482:551 472.015 518.39 506. 787 0: 5.-90

. 67M 576.331 S625906. 611.104 661.745 645l876 697.583 680.648 733.422 715.42 Fuel Cladding Guide Sleeve iN

10. OA1 ANMYS
10. OAh OCT 22 2009 OCr 22 2009 00:01:26 00:01:33 PLr NO. 25 P*r NO. 26 NODAL S

IC NODAL S9!n170 SIEP-3 SIZP=3 am =1 S =1 TME=3 TDME=3 -MN =402.391 " =321.78 H4( =466.123 -W =397.033 402 391321.78 40942.9I 330.142 3 416.554 338.503 23.635 346.864 1 430. 716 1 355.226 437 798 363.587 444.879 r 371. 949 41

1. %

380.31

  • 459.042 388 672 466.123 397.033 Basket Rail DSC Shell Figure 6-6 Temperature Plots for 32PHB DSC (Vertical Transfer, 100IF @ 20 Hour, 29.6 kW)

Calculation No.: NUH32PHB-0403 Revision No.: 1 Page: 48 of 56 ANSYS 10.MAO aWr 21 2009 23:57: 14 PFX NO. 12 NODAL SOEJTIC* STEE9=2 SJB =1 TIME=2 TEWP SHN =581.712 SbW =932.197 S581. 712 620- U% 659.597 698.54 737.483 776.426 $3 15.368 854. 311 893:254 932.197 ANYS 10.01A OCT 21 2009 23:57:29 PLor NO. 13 NODA.L S=CNl~ MIEP--2 9M =1 TDME=2 TEMP =571.224 ( =919.23 571.224 i 609. 891 648.558 687.226 725. 893 764,56 r'"7 803.228 -I841.895 880.562 919.23 Fuel Cladding Guide Sleeve ANSYS 10.OA1 OCT 21 2009 23:58:06 PLOr NO. 15 NODAL SOLUTICK STEE--2 SUB -1 Tn3E-2 TRVB .%V =572.671 SM4 =705.405 572.671 581.42 602.168 616.916 631.664 646.412 661.161 675.909 690.657 705.405 A6N-S 10.0A1 OCr 21 2009 23:58:13 PLOT NO. 16 NODAL SCTUIGN T]IEE=2 as1 =1 TDMP SM- =444.574 S1K -656.082 444.574 468.075 3 491.575 515.076 mm538.577 EM 562.078 585.579 609.08 632.581 656.082 Basket Rail DSC Shell Figure 6-7 Temperature Plots for 32PHB DSC (Fire Accident Transfer, 29.6 kW)

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 49 of 56

7.0 CONCLUSION

The maximum fuel cladding temperatures for 32PHB DSC storage in HSM-HB and transfer in the CCNPP-FC TC are shown in Table 7-1. Table 7-1 Maximum Fuel Cladding Temperatures for Storage and Transfer Conditions Operating Description Fuel Cladding Limit Condition Tmax Tlimit (OF) (OF) Normal Cold (1) 648 752 [3, 4] Hot (4) <724 Off-Cold (1) 648 Storage Normal Hot (2) 724 1058 [3, 4] Accident Block Vent (3) 867 Normal Cold (6) <728 752 [3, 4] Hot (6) <728 Off-Cold (6) <728 Transfer Normal Hot 104 0F @ 20 hrs 728 1058 (3, 4] Accident Fire (7) 932 DSC in Vertical TC Within Fuel Building @ 20 hrs (5) 733 752 [3, 4] Notes: (1) Based on normal storage with 00F ambient temperature. (2) Based on off-normal storage with 105OF average ambient temperature. (3) Based on accident storage with 40 hours' blocked vent. (4) Bounded by hot off-normal storage case. (5) An average ambient temperature of 100OF considered within fuel building and no water in DSC/TC annulus [4]. (6) Bounded by hot off-normal transfer case @ 20 hrs [16]. (7) Based on steady-state fire accident transfer result [16]. As seen from Table 7-1, the maximum fuel cladding temperatures calculated for storage and transfer conditions are lower than the allowable limits. The maximum component temperatures of 32PHB DSC for normal, off-normal, and accident storage conditions are summarized in Table 7-2. All materials can be subjected to a minimum environment temperature of -80F (-220C) without any adverse effects.

A AREVA Calculation Calculation No.: NUH32PHB-0403 Revision No.: 1 Page: 50 of 56 Table 7-2 Maximum Basket Component Temperatures Basket DSC Al/Poison [Basket Top Shield Bottom Operating Description (Compartment) (Shell) Plate Rails Plug Shield Plug Condition Tmax Tmax Tmax Tmax Tmax Tmax (OF) OF (IF) (IF) (IF) (F) Normal Cold (1) 626 362 626 372 63 170 Hot (4) <706 <436 <705 <461 <185 <273 Off-Cold (1) 626 362 626 372 63 170 Storage Normal Hot (2) 706 436 705 461 185 273 Accident Block Vent (3) 853 595 853 626 344 496 Normal Cold (6) <709 <408 <708 <472 <346 <358 Hot (6) <709 <408 <708 <472 <346 <358 Transfer Off-Cold (6) <709 <408 <708 <472 <346 <358 Normal Hot 1040F@ 20 hrs 709 408 708 472 346 358 Accident Fire (7) 919 656 919 705 560 570 DSC in Vertical TC Within Fuel Building @20 hrs (5) 715 397 715 466 348 365 Notes: (1) Based on normal storage with 0°F ambient temperature. (2) Based on off-normal storage with 1050F average ambient temperature. (3) Based on accident storage with 40 hours' blocked vent. (4) Bounded by hot off-normal storage case. (5) An average ambient temperature of 1 00°F considered within fuel building and no water in DSC/TC annulus [4]. (6) Bounded by hot off-normal transfer case @ 20 hrs [16]. (7) Based on steady-state fire accident transfer result [16]. The maximum temperatures for top and bottom shield plugs are below lead melting temperature limit of 6620F [4]. All design criteria specified in Section 4.2 are herein satisfied.

Calculation No.: NUH32PHB-0403 Revision No.: 1 Page: 51 of 56 The effective thermal properties for 32PHB basket are summarized in Table 7-3. Table 7-3 Effective Thermal Properties for 32PHB Basket Basket OD = Basket length = 66.0" 158.0" Temperature kbasket, rad Temperature kbasket, axi Temperature. Cpeffbasket (OF) (Btu/hr-in-°F) (OF) (Btu/hr-in-°F) (OF) (Btu/Ibm-°F) 315 0.151 100 1.9946 70 0.095 403 0.160 200 2.0393 100 0.096 492 0.169 300 2.0760 200 0.098 581 0.179 400 2.1055 300 0.099 672 0.189 500 2.1160 400 0.100 763 0.199 600 2.1228 500 0.101 855 0.209 700 2.1297 600 0.101 949 0.218 800 2.1355 700 0.101 1045 0.224 900 2.1418 800 0.101 1143 0.227 1000 2.1474 900 0.102 Peffbasket 0.1308 Ibm/in3 1000 0.102

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 52 of 56 8.0 LISTING OF COMPUTER FILES A summary of ANSYS runs is listed in Table 8-1. All the runs are performed using ANSYS version 10.0 [15] with operating system "Linux RedHat ES 5.1", and CPU "Opteron 275 DC 2.2 GHz" / "Xeon 5160 DC 3.0 GHz". Table 8-1 Summary of ANSYS Runs Run Name Description Date / Time Load 1 Normal Storage Conditions, 0°F ambient, 29.6 kW 32PHBSTB1M Load 2 Off-Normal Storage Conditions, 104 0F ambient, 29.6 kW 09/09/09 03:24 PM Load 3 Accident Storage Conditions, Block Vent @ 40 hrs, 29.6 kW Load 1 Off-Normal Transfer Conditions @ 20 hrs, 1040F ambient, 29.6 kW 32PHB_TC2M Load 2 Fire Accident Transfer Conditions @ Steady-State, 29.6 kW 10/22/09 00:02 AM Load 3 Vertical Transfer Conditions @ 20 hrs, 29.6 kW 32PHBRadialKeff Effective conductivity for 32PHB basket in radial direction 09/16/09 06:00 PM 32PHBAxialKeff Effective conductivity for 32PHB basket in axial direction 09/14/09 10:50 AM A list of the macro files to map the DSC shell temperature from 61 BTH DSC with 31.2 kW [11] is shown in Table 8-2. Table 8-2 List of Macro Files to Map DSC Shell Temperatures from 61 BTH DSC [11] File Name Description Date / Time (Input and Output) for Output File Normal storage shell temp - 32PHB DSC model, 29.6 kW @ 0°F Off-Normal storage shell temp - TempMapST31 32PHB DSC model, 29.6 kW @ 07/13/09 08:52 AM 105 0F Accident storage shell temp - 32PHB DSC model, 29.6 kW, Block Vent @ 40 hrs A list of the files to create geometries for 32PHB DSC is shown in Table 8-3.

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 53 of 56 Table 8-3 List of 32PHB DSC Geometry Generation Files File Name Date I Time (Input and Output) Description for Output File 32PHBModel Creates geometry for 32PHB DSC (14x14 for FA mesh) 07/10/09 07:49 PM ANSYS macros, and associated files used in this calculation are shown in Table 8-4. Table 8-4 Associated Files and Macros File Name Description Date I Time 32PHBTCOFNTRANS_20hrMap.cbdo [16] Off-normal transfer shell temperature 10/21/09 05:44 PM profile @ 20 hrs from Transfer Cask model [16]. 32PHBTCVERTTRANS_20hrMap.cbdo [16] Vertical transfer shell temperature 10/21/09 05:49 PM profile @ 20 hrs from Transfer Cask model [16]. 32PHBTCACC NSMap.cbdo [16] Fire accident.transfer shell 10/21/09 06:00 PM temperature profile @ steady state from Transfer Cask model [16]. 32PHBMat1.inp Material properties for 32PHB DSC 09/09/09 09:54 AM with Helium 32PHBHLZC2.MAC Heat generation for 32PHB DSC, 09/03/09 08:56 AM 29.6 kW Macro Macro to get Maximum/Minimum 05/20/05 12:03 PM temperatures Results.mac Macro to list maximum and average 32PHB DSC component 07/22/09 11:52 AM temperatures The spreadsheets used in this calculation are listed in Table 8-5.

A AREVA Calculation Calculation No.: NUH32PHB-0403 Revision No.: 1 Page: 54 of 56 Table 8-5 List of Spreadsheets File Name Description Date / Time 32PHB-lnput.xls Peaking factors and material properties for 11/10/09 03:13 PM 32PHB DSC 32PHBBasketProp.xls 32PHB basket effective properties 11/10/09 03:29 PM hotgap_32PHB.xls Hot gap between 32PHB basket rail/DSC shell 11/03/09 11:04 AM

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 55 of 56 APPENDIX A JUSTIFICATION OF HOT GAP BETWEEN BASKET AND DSC SHELL A.1 Hot Gap for 32PHB DSC Based on sketch NUH32PHB-30-7, Note 8 [7], a nominal diametrical cold gap of 0.375" is considered between the basket and the 32PHB DSC shell. The nominal DSC inner diameter (ID) is 66.0". The nominal basket outer diameter (OD) is then 65.625". The average temperatures for the basket, aluminum rails, and shell at the hottest cross section for hot off-normal transfer condition are considered to calculate the nominal hot gap size at thermal equilibrium. The average temperatures are listed in Table A-1. Table A-1 Average Temperatures at Hottest Cross Section for 32PHB DSC Component Hot Off-Normal Transfer @ 20 hrs Tava (OF) Basket (compartments & wrap plates only) 575 Al Rail @ 0 degree 449 Al Rail @ 180 degree 398 DSC Shell 387 The hot dimensions of the basket OD and DSC ID are calculated as follows. The outer diameter of the hot basket is: ODB,hot = ODB + [Lss,B x OXSS,B (Tavg,B - Tref)] + LRail x [QAI,0 (Tavg,RO - Tref)+ tAI,180 (Tavg,R180 - Tref)] Where: ODB,hot = hot OD of the basket, ODB = nominal cold OD of the basket = 66.0" - 0.375" = 65.625", LSSB = width of basket at 0-180 direction = 12 x guide sleeve width (0.1874") + 6 x compartment width (8.5") + 7 x basket plate thickness (0.25") = 12*0.1874+6*8.5+7*0.25 L 54.999", LRail = width of aluminum rail = (ODB - LSS,B)/2 = 5.313", aSS,B = Average stainless steel axial coefficient of thermal expansion (in/in-°F, interpolated using data in [9] Table TE-1), OxAI = Average aluminum coefficient of thermal expansion (in/in-°F, interpolated using data in [9] Table TE-2), Tavg,B = Average basket temperature at the hottest cross section, see Table A-1 (OF),

.4 A AREVA Calculation Calculation No.: NUH32PHB-0403 Revision No.: 1 Page: 56 of 56 Tavg,RO = Average Al rail temperature at the hottest cross section at 0 degree orientation, see Table A-1 (OF), Tavg,R180 = Average Al rail temperature at the hottest cross section at 180 degree orientation, see Table A-1 (OF), Tref = reference temperature for stainless steel and aluminum alloys = 70°F [9]. The inner diameter of the hot DSC shell is: IDcAN, hot = IDcAN [11 + oESS, CAN (Tavg, CAN - Tref)] Where: IDCAN, hot = Hot ID of DSC shell, IDCAN = Cold ID of DSC shell = 66.0", oSS, CAN = Average stainless steel axial coefficient of thermal expansion (in/in-°F, interpolated using data in [9] Table TE-1), Tavg, CAN = Average DSC shell temperature at hottest cross section, see Table A-1 (OF), Tref = Reference temperature for low alloy steel = 70°F [9]. The diametrical hot gap between the basket and DSC inner shell is: Ghot = IDCAN, hot - ODB,hot

  • The diametrical hot gap at the hottest cross section is calculated for 29.6 kW maximum heat loads in 32PHB basket to bound the problem. The calculated hot gap is listed in Table A-2.

Table A-2 Diametrical Hot Gap in 32PHB DSC 29.6 kW Heat Load, Off-Normal Transfer @ 1040F Ambient Cold dimension Temp (xx10-6 (1) AL Hot dimension (in) (OF) (in/in/°F) (in) (in) Basket width 54.999 575 9.775 0.271 55.270 Large rail @ 00 5.313 449 13.796 0.028 5.341 Large rail @ 1800 5.313 398 13.592 0.024 5.337 Basket OD 65.625 1 65.948 DSC shell ID 66.00 387 9.461

0. 198 66.198 Gap 0.375 0.25 Note: (1) The average thermal expansion coefficient is calculated by interpolation using data in

[9] Table TE-1 Group 3 for stainless steel and Table TE-2 for aluminum. A uniform diametrical hot gap of 0.27" is considered in the model between the basket and the DSC shell. This assumption is conservative since the hot gap calculated in Table A-2 is smaller than the assumed gap of 0.27".

A AREVA Calculation Calculation No.: NUH32PHB-0403 Revision No.: 1 Page: 25 of 56 The effective thermal properties for the basket components in 32PHB DSC model are listed in Table 5-3 through Table 5-8. Table 5-3 Effective Thermal Conductivities for 0.02" Al/Poison Contact Gap (Mat 19/29) Cavity Gas -Helium Cavity Gas - Nitrogen Temp Keff,parallel Keff,across Temp Keff,parallel Keffacross (OF) (Btu/hr-in-OF) (Btu/hr-in-°F) (OF) (Btu/hr-in-°F) (Btu/hr-in-°F) 80 3.600E-03 1.440E-02 200 7.326E-04 2.930E-03 260 4.300E-03 1.720E-02 300 8.177E-04 3.271E-03 440 5.100E-03 2.040E-02 400 8.981E-04 3.592E-03 620 5.950E-03 2.380E-02 500 9.745E-04 3.898E-03 980 7.400E-03 2.960E-02 600 1.048E-03 4.191E-03 1340 8.700E-03 3.480E-02 700 1.118E-03 4.472E-03 1430 9.050E-03 3.620E-02 800 1.186E-03 4.743E-03 900 1.251 E-03 5.005E-03 1000 j 1.315E-03 j 5.259E-03 1100 1 1.376E-03 5.506E-03 Table 5-4 Effective Thermal Properties for Guide Sleeve (Mat 31/32) Temp KeffparalleI Keffacross p Cp (OF) (Btu/hr-in-°F) (Btu/hr-in-°F) (Ibm/in 3) (Btu/Ib-°F) 70 0.802 0.640 0.114 100 0.812 0.648 0.114 200 0.868 0.692 0.119 300 0.914 0.730 0.122 400 0.970 0.774 0.126 500 1.017 0.811 0.290 0.128 600 1.054 0.841 0.130 700 1.101 0.878 0.132 800 1.138 0.908 0.132 900 1.185 0.945 0.134 1000 1.231 0.983 0.136

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 26 of 56 Table 5-5 Effective Thermal Properties for Basket Stainless Steel Plate (Mat 41/42) Temp Keffparallel Keff'across P 3 Cp (OF) (Btu/hr-in-0 F) (Btu/hr-in-°F) (Ibm/in) (Btu/Ib-°F) 70 0.956 0.537 0.114 100 0.967 0.543 0.114 200 1.034 0.581. 0.119 300 1.090 0.612 0.122 400 1.156 0.650 0.126 500 1.212 0.681 0.290 0.128 600 1.256 0.706 0.130 700 1.312 0.737 0.132 800 1.356 0.762 0.132 900 1.412 0.793 0.134 1000 1.467 0.825 0.136 Table 5-6 Effective Thermal Properties for Al/Poison Plate (Mat 53/54) Notes: (1) Minimum thermal conductivities assumed in the model. (2) Based on the values of All 100 at 200OF from Table 4-4. Table 5-7 Effective Thermal Properties for Basket All 100 Plate (Mat 55/56) Temp Keff,parallel Keffacross p) Cp (OF) (Btu/hr-in-°F) (Btu/hr-in-°F) (Ibm/in3) (Btu/Ibm-°F) 70 14.797 8.314 0.214 100 14.652 8.233 0.216 150 14.452 8.121 0.219 200 14.285 8.027 0.098 0.222 250 14.152 7.952 0.224 300 14.030 7.883 0.227 350 13.930 7.827 0.229 400 13.841 7.777 0.232

Calculation No.: NUH32PHB-0403 A Calculation Revision No.: 1 AR EVA Page: 27 of 56 Table 5-8 Effective Thermal Properties for DSC-Rail Gap (Mat 72) Cavity Gas -Helium Cavity Gas - Nitrogen Temp Keff,parallel Keff,across Temp Keff,parallel Keffacross (OF) (Btu/hr-in-°F) (Btu/hr-in-°F) (OF) (Btu/hr-in-°F) (Btu/hr-in-°F) 80 6.480E-03 8.000E-03 200 1.319E-03 1.628E-03 260 7.740E-03 9.556E-03 300 1.472E-03 1.817E-03 440 9.180E-03 1.133E-02 400 1.617E-03 1.996E-03 620 1.071E-02 1.322E-02 500 1.754E-03 2.166E-03 980 1.332E-02 1.644E-02 600 1.886E-03 2.328E-03 1340 1.566E-02 1.933E-02 700 2.012E-03 2.484E-03 1430 1.629E-02 2.011E-02 800 2.134E-03 2.635E-03 900 2.252E-03 2.781 E-03 1000 2.367E-03 2.922E-03 1100 2.478E-03 3.059E-03

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 28 of 56 5.1.4 Axial Decay Heat Profile for PWR Fuel Assemblies The axial decay heat profile for fuel assemblies considered in the 32PHB DSC is based on axial burnup distribution of VAP fuel assemblies described in [2], which can accommodate spent fuel with a maximum average burnup of 53 GWd/MTU. For conservatism, the bounding peaking factor profile is determined according to the maximum axial peaking factor value at each axial location from all Unit 1/2 fuel assemblies in [2] and is shown in Table 5-9. The discussion in [13] shows that at a higher burnup, the heat flux shape tends to flatten with a reduction in the maximum axial peaking factor in the middle region, and the flux shape becomes more pronounced in the fuel end regions. Therefore, the application of a heat flux shape for a lower burnup spent fuel (*53 GWd/MTU) on a higher burnup spent fuel (up to 62 GWd/MTU for 32PHB fuel assemblies [4]) is conservative. The active fuel length for 32PHB basket is divided into 21 sections. The peaking factors from [2] are converted as follows to match the 21 regions defined for the active fuel length. " An average height is calculated for each peaking factor section of defined in [2]. " An average height is calculated for each section of active fuel length defined in the finite element model (FEM) of 32PHB DSC. " The peaking factor for each section in FEM is calculated by interpolation between the peaking factors in [2] using the average heights. The peaking factors for fuel assemblies in the 32PHB DSC model are listed in Table 5-10 and illustrated in Figure 5-7.

Calculation No.: NUH32PHB-0403 Revision No.: 1 Page: 29 of 56 Table 5-9 Bounding Peaking Factors for 32PHB Fuel Assemblies [2] % of Core length Length Peaking Factors Area under Curve 0.00 0 0.000 0.00 2.19 3.0 0.641 0.96 5.85 8.0 0.853 3.74 7.50 10.3 0.920 1.99 8.23 11.3 0.941 0.93 9.51 13.0 0.967 1.67 12.45 17.0 1.027 4.01 16.87 23.1 1.074 6.35 21.29 29.1 1.091 6.54 25.71 35.1 1.094 6.60 30.12 41.2 1.093 6.60 34.54 47.2 1.090 6.59 38.96 53.3 1.087 6.57 43.38 59.3 1.085 6.56 47.80 65.3 1.086 6.56 52.30 71.5 1.098 6.72 56.88 77.8 1.101 6.88 61.46 84.0 1.101 6.89 66.04 90.3 1.100 6.89 70.61 96.5 1.097 6.88 75.19 102.8 1.092 6.85 79.77 109.1 1.080 6.80 84.35 115.3 1.049 6.66 88.93 121.6 0.979 6.35 91.77 125.5 0.915 3.67 92.50 126.5 0.883 0.90 94.15 128.7 0.821 1.92 97.81 133.7 0.616 3.59 100.00 136.7 0.000 0.92

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AREVA Page: 30 of 56 Table 5-10 Peaking Factors for Fuel Assemblies in the 32PHB DSC Model Region Fuel Model Z-Coord (in) Average Height Peaking Area under from to from Bottom (in) Factor Curve 1 -3.140 -0.060 1.540 0.329 1.013 2 -0.060 4.120 5.170 0.733 3.064 3 4.120 12.460 11.430 0.933 7.779 4 12.460 20.740 19.740 1.047 8.671 5 20.740 28.060 27.540 1.086 7.948 6 28.060 35.320 34.830 1.093 7.937 7 35.320 41.600 41.600 1.092 6.859 8 41.600 48.860 48.370 1.089 7.906 9 48.860 56.120 55.630 1.086 7.885 10 56.120 64.460 63.430 1.087 9.061 11 64.460 72.800 71.770 1.097 9.150 12 72.800 80.060 79.570 1.101 7.991 13 80.060 87.320 86.830 1.100 7.988 14 87.320 95.660 94.630 1.098 9.158 15 95.660 100.860 101.400 1.093 5.686 16 100.860 111.260 109.200 1.076 11.187 17 111.260 118.520 118.030 1.019 7.395 18 118.520 124.800 124.800 0.919 5.770 19 124.800 128.920 130.000 0.767 3.159 20 128.920 132.000 133.600 0.565 1.740 21 132.000 133.560 135.920 0.160 0.250 Sum 137.60 Normalized 1.007 Corr. Factor 0.993 1.2 1.0 0* 0.8 L-0.4 0. 0.2 0.0 0 25 50 75 100 125 150P Active Fuel Length (in) Figure 5-7 Peaking Factor Curve for PWR Fuels

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 31 of 56 As seen in Table 5-10, the normalized area under peaking factor curve is greater than 1.0. Normalization of the area under the peaking factor curve results in a correction factor of 0.993 as calculated below. Area under Axial Heat Profile Nomalized Area under Curve = AreanderxialeatPofile= 1.007. Active Fuel Length Correction Factor== 0.993. Normalized Area under Curve For conservatism, the correction factor of 1.0 is assumed in the 32PHB DSC model.

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 32 of 56 5.2 Effective Thermal Properties of 32PHB Basket The 32PHB basket effective density, thermal conductivity and specific heat are calculated for use in the transient analyses. The calculation of effective density and specific heat are based on the DSC component weight data provided in [7]. The effective properties are valid only when the homogenized basket are modeled with the dimensions listed in Table 5-11 : Table 5-11 Dimensions of Homogenized Baskets DSC Type 32PHB Basket OD (in) 66.0 Basket length (in) 158.0 5.2.1 Effective Density and Specific Heat The basket effective density Peff basket, and specific heat Cp effbasket are calculated respectively using equations (5.4), (5.5) below. Pelf basket wi XV Wsteel + WAI + Wpison Wfuel (5.4) ebasket Lbasket /4-Dbasket /4 basket Wi.Cp, Wstee

  • C psteel +

Al * + Wpoison

  • Cppoison + Wfuel " Cp fueCp C peff basket =

Zw. 1 _ WWtee c +Wste Jr +A Wpoio C{ Wffuel (5.5) 1 INI W~steel + WAI + Wpoison + fuel. Where: W, = weight of basket components, Lb,,k,,= basket length (see Table 5-11), Dbake, = basket OD (see Table 5-11), Cpj = specific heat of basket materials. The following assumptions are used in the calculation of the basket effective density (p) and specific heat (Cp): " For aluminum at T > 4000 F, Cp value is conservatively assumed equal to value at 4000F. For poison material, p and Cp value is conservatively based on Al 6061.

  • Conservatively, helium is not included in density and specific heat calculation.

The calculation of 32PHB basket effective density is summarized in Table 5-12. The calculation of effective specific heat for 32PHB basket is shown in Table 5-13.

Calculation No.: NUH32PHB-0403 Revision No.: 1 Page: 33 of 56 Table 5-12 Effective Density for 32PHB Basket Components Material Total Weight [7] (Ibm) Fuel Assembly 46400 Guide Sleeve SS304 9548 AI/Poison Plate Aluminum 2092 Steel Plate SS304 1616 Rail 90 Aluminum 8122 Rail 45 Aluminum 2952 Total 70730 Dimension Dbasket 66.00 in Lbasket 158.0 in Vbasket 540549 in3 Peff basket 0.1308 Ibm/in 3

Calculation No.: NUH32PHB-0403 Revision No.: 0 Page: 34 of 56 Table 5-13 Effective Specific Heat for 32PHB Basket Fuel Stainless Steel Aluminum/Poison Rail 90 Rail 45 Total Components_ Assembly I Plates of Basket Plates Rail 90 _Rail 45 _Total Material (1)--- Stainless Steel Stainless Steel Al Al Al Weiaht (Ibm) [71 46400 9548 1616 2092 8122 2952 70730 Temp m.C. m.Cp m.Cp m.Cp m.Cp m.C X Y m.Cp Cp eff basket (F) (Btu/°F) (Btu/°F) (Btu/°F) (Btu/°F) (Btu/°F) (Btu/°F) (Btu/°F) (Btu/lbm-°F) 70 2,673 1,085 184 446 1,730 629 6,746 0.095 100 2,673 1,091 185 450 1,747 635 6,780 0.096 200 2,673 1,136 192 462 1,792 651 6,906 0.098 300 2,673 1,167 198 473 1,835 667 7,012 0.099 400 2,673 1,201 203 480 1,865 678 7,101 0.100 500 2,673 1,222 207 480 1,865 678 7,125 0.101 600 2,673 1,237 209 480 1,865 678 7,143 0.101 700 2,673 1,256 213 480 1,865 678 7,165 0.101 800 2,673 1,263 214 480 1,865 678 7,174 0.101 900 2,673 1,280 217 480 1,865 678 7,193 0.102 1000 2,673 1,296 219 480 1,865 678 7,212 0.102 Note: (1) Specific heat values are listed in Section 4.1.

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 35 of 56 5.2.2 Effective Thermal Conductivity A 22.86" long slice of 32PHB basket is created by selecting the nodes and elements of the basket from the finite element model described in Section 5.1 to calculate the effective thermal conductivities. The slice model is shown in Figure 5-8. AN AN 32PHB Basket Slice Model 32PHB Basket Slice Model Figure 5-8 32PHB Basket Slice Models

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AREVA Page: 36 of 56 5.2.2.1 Axial Effective Thermal Conductivity To calculate the axial effective conductivity of the basket, constant temperature boundary conditions are applied at the top and bottom of the slice model. No heat generation is considered for the fuel elements in this case. The axial effective conductivity is calculated using equation (5.6) below. kbaketI "-- QwxL (5.6) A Asice x AT Where: Qaxi = Amount of heat leaving the upper face of the slice model - reaction solution of the uppermost nodes (Btu/hr), L = Length of the model = 22.86", Aslce = Surface area of the upper (or bottom) face of the basket slice model 1709.73 in2 (=7T/8 X Dbasket2), AT = (T2 - Ti) =Temperature difference between upper and lower faces of the model (OF), T2 = Constant temperature applied on the upper face of the model (OF), Ti = Constant temperature applied on the lower face of the model (OF). Typical applied boundary conditions are shown in Figure 5-9 (a).

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 A R EVA Page: 37 of 56 Fixed Temperatures at basket upper nodes Effective Basket Conductivity in Axial Direction Fixed Temperatures at basket lower nodes (a) Boundary Condition -Axial Effective Thermal Conductivity MY ELEMENTS HGEN RATES QMIN-0 QMAX-. 380389 0 .042265 .084531 .126796 169062 .211327 253593 ---.295858 . 338124 .380389 Heat generation boundary conditions Fixed Temperatures at basket outermost nodes Effective Basket Conductivity in Radial Direction (b) Boundary Condition - Radial Effective Thermal Conductivity Figure 5-9 Typical Boundary Conditions for Basket Slice Model

CONTROLLED COPY E-281 Form 3.2-1 Calculation No.: NUH32PHB-0403 A Calculation Cover Sheet Revision No.: i A R E VA Revision 8 Page: 1 of 56 DCR NO (if applicable): NUH32PHB-018 PROJECT NAME: NUHOMS 32PHB System PROJECT NO: 10955 CLIENT: CENG-Calvert Cliff Nuclear Power Plant Inc. (CCNPP) CALCULATION TITLE: Thermal Evaluation of NUHOMS 32PHB DSC for Storage and Transfer Conditions

SUMMARY

DESCRIPTION:

1) Calculation Summary This calculation determines the maximum fuel cladding temperature and the maximum basket component temperatures for 32PHB DSC storage in NUHOMS HSM-HB and transfer in the CCNPP-FC transfer cask during normal, off-normal, and accident operating conditions. This calculation evaluates these conditions for the bounding maximum heat load of 29.6 kW per DSC.
2) Storage Media Description Secure network server initially, then redundant tape backup If original issue, is licensing review per TIP 3.5 required?

Yes El No N (explain below) Licensing Review No.: This calculation is performed to support a site specific license application by CCNPP that will be reviewed and approved by the NRC. Therefore, a IOCFR72.48 licensing review per TIP 3.5 is not applicable. Software Utilized (subject to test requirements of TIP 3.3): Version: ANSYS 10.0 Calculation is complete: Digitally signed by VENIGALLA Venkata Date: 2015.03.03 14:32:35 -05'00' Originator Name and Signature: Venkata Venigalla Date: Calculation has been checked for consistency, completeness and correctness:

  • 4 Digitally signed by LIU Hui Date: 2015.03.03 14:47:25

-05'00' Checker Name and Signature: Hui Liu Date: Calculation is approved for use: PATEL Girish o=AREVA GROUP, 2.5.4.45=T1 1D2D8D413995674D4.17FCF, cn=PATEL Girish 2015.03.03 16:11:18 -05'00' Project Engineer Name and Signature: Girish Patel Date:

A AREVA Calculation Calculation No.: NUH32PHB-0403 Revision No.: 1 Page: 2of56 REVISION

SUMMARY

AFFECTED AFFECTED DESCRIPTION PAGES Computational 1/0 Initial Issue All All The temperature term T1 is corrected to T in 1,2, 7, 8, None Tables 4-5 and 4-6 in response to RAI 6-11 12 and 13 from NRC.

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 3 of 56 TABLE OF CONTENTS Paqe 1.0 P u rp o s e............................................................................................................................. 6 2.0 References........................................................................................................................ 7 3.0 Assumptions and Conservatism.................................................................................... 9 4.0 Design Input........................................................................................... 10 4.1 Thermal Properties of Materials........................................................................ 10 4.2 Design Criteria................................................................................................... 14 5.0 Methodology................................................................................................................... 15 5.1 32PHB DSC Model............................................................................................. 15 5.1.1 Heat Generation 20 5.1.2 Boundary Conditions for 32PHB DSC in the HSM-HB and CCNPP-FC TC 22 5.1.3 Effective Conductivity for Basket Components with Modified Thickness 24 5.1.4 Axial Decay Heat Profile for PWR Fuel Assemblies 28 5.2 Effective Thermal Properties of 32PHB Basket................................................. 32 5.2.1 Effective Density and Specific Heat 32 5.2.2 Effective Thermal Conductivity 35 6.0 R e s u lts............................................................................................................................ 4 0 7.0 C o n c lu s io n...................................................................................................................... 4 9 8.0 Listing of Com puter Files.......................................................................................... 52 APPENDIX A Justification of Hot Gap Between Basket and DSC Shell............................ 55

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 4 of 56 LIST OF TABLES Page Table 4-1 Table 4-2 Table 4-3 Table 4-4 -Table 4-5 Table 4-6 Table 4-7 Table 4-8 Table 4-9 Table 5-1 Table 5-2 Table 5-3 Table 5-4 Table 5-5 Table 5-6 Table 5-7 Table 5-8 Table 5-9 Table 5-10 Table 5-11 Table 5-12 Table 5-13 Table 5-14 Table 5-15 Table 6-1 Table 6-2 Table 7-1 Table 7-2 Table 7-3 Table 8-1 Table 8-2 Table 8-3 Table 8-4 Table 8-5 Material Numbers in ANSYS Model for the 32PHB DSC.............................. 10 Thermal Properties of Homogenized Fuel Assembly in Helium [8]................ 11 SA 240/SA-479 Type 304 Stainless Steel Thermal Properties [4, 9]............. 11 Aluminum Alloys Thermal Properties [4, 9].................................................... 12 Helium Thermal Conductivity............... :........................................................ 12 A ir Therm al C onductivity................................................................................ 13 Nitrogen Thermal Conductivity [4, 12].......................................................... 13 Thermal Properties of Lead (ASTM B29) [4].................................................. 14 Maximum Fuel Cladding Temperature Limits for 32PHB DSC Thermal A na lyse s...................................................................................................... .. 14 Heat Generation Rates for 32PHB Basket.................................................... 20 32PHB Basket Component Thicknesses...................................................... 24 Effective Thermal Conductivities for 0.02" Al/Poison Contact Gap (Mat 19/2 9 )........................................................................................................ 2 5 Effective Thermal Properties for Guide Sleeve (Mat 31/32).......................... 25 Effective Thermal Properties for Basket Stainless Steel Plate (Mat 41/42)....... 26 Effective Thermal Properties for Al/Poison Plate (Mat 53/54)....................... 26 Effective Thermal Properties for Basket Aluminum Plate (Mat 55/56)........... 26 Effective Thermal Properties for DSC-Rail Gap (Mat 72).............................. 27 Bounding Peaking Factors for 32PHB Fuel Assemblies [2].......................... 29 Peaking Factors for Fuel Assemblies in the 32PHB DSC Model.................. 30 Dimensions of Homogenized Baskets.......................................................... 32 Effective Density for 32PHB Basket............................................................ 33 Effective Specific Heat for 32PHB Basket................................................... 34 Effective Axial Conductivity for 32PHB Basket............................................. 38 Effective Radial Conductivity for 32PHB Basket........................................... 39 Maximum 32PHB DSC Component Temperatures...................................... 40 Average 32PHB DSC Component Temperatures......................................... 41 Maximum Fuel Cladding Temperatures for Storage and Transfer C o nd itio ns.................................................................................................. 4 9 Maximum Basket Component Temperatures............................................... 50 Effective Thermal Properties for 32PHB Basket........................................... 51 Summary of ANSYS Runs............................................................................. 52 List of Macro Files to Map DSC Shell Temperatures from 61 BTH DSC [11]..... 52 List of 32PHB DSC Geometry Generation Files............................................ 53 Associated Files and Macros........................................................................ 53 List of S preadsheets.................................................................................... .. 54 Table A-1 Table A-2 Average Temperatures at Hottest Cross Section for 32PHB DSC............... 55 Diametrical Hot Gap in 32PHB DSC............................................................. 56

A AREVA Calculation Calculation No.: NUH32PHB-0403 Revision No.: 1 Page: 5of56 LIST OF FIGURES Figure 5-1 Figure 5-2 Figure 5-3 Figure 5-4 Figure 5-5 Figure 5-6 Figure 5-7 Figure 5-8 Figure 5-9 Figure 6-1 Figure 6-2 Figure 6-3 Figure 6-4 Figure 6-5 Figure 6-6 Figure 6-7 Page Finite Element Model of 32PHB DSC.......................................................... 16 32PHB DSC Model - Cross Section............................................................. 17 32PHB DSC Model - Gaps in the Basket...................................................... 18 32PHB DSC Model-Axial Gaps at DSC Ends............................................. 19 Heat Load Zoning Configuration (HLZC) for 32PHB DSC with 29.6 kW H e at Lo ad.................................................................................................... .. 2 1 Typical Boundary Conditions for 32PHB DSC............................................... 23 Peaking Factor Curve for PWR Fuels........................................................... 30 32PHB Basket Slice M odels........................................................................ 35 Typical Boundary Conditions for Basket Slice Model................................... 37 Location of 32PHB Basket Rails.................................................................... 42 Temperature Plots for 32PHB DSC (Normal Storage @ 0°F, 29.6 kW)..... 43 Temperature Plots for 32PHB DSC (Off-Normal Storage @ 104 0F, 29.6 k W )............................................ 4 4 Temperature Plots for 32PHB DSC (Block Vent @ 40 Hour, 29.6 kW)..... 45 Temperature Plots for 32PHB DSC (Off-Normal Transfer, 104 0F @ 20 H our, 29.6 kW ).......................................................................................... .. 46 Temperature Plots for 32PHB DSC (Vertical Transfer, 100°F @ 20 Hour, 2 9.6 kW )...................................................................................................... .. 4 7 Temperature Plots for 32PHB DSC (Fire Accident Transfer, 29.6 kW)...... 48

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AREVA Page: 6of56 1.0 PURPOSE The purpose of this calculation is to determine the maximum fuel cladding and component temperatures of 32PHB DSC in the HSM-HB storage module and in the CCNPP-FC transfer cask (TO) for normal, off-normal and accident conditions. A maximum heat load of 29.6 kW per DSC is considered for the evaluations in this calculation. Effective properties of 32PHB baskets are determined in Section 5.2 for the use in transient analysis.

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AREVA Page: 7of56

2.0 REFERENCES

1 Updated Final Safety Analysis Report for the Standardized NUHOMS Horizontal Modular Storage System for Irradiated Nuclear Fuel, NUH-003, Rev. 11. 2 CCNPP Demo DE1 0269, "Axial Burnup Distribution of VAP Assemblies with and without Axial Blankets", Constellation Energy Nuclear Group, January 23, 2009. 3 NRC Spent Fuel Project Office, Interim Staff Guidance, ISG-1 1, Rev 3, "Cladding Considerations for the Transportation and Storage of Spent Fuel". 4 Design Criteria Document, "Design Criteria Document (DCD) for the NUHOMS 32PHB System for Storage", Transnuclear, Inc., Document No. NUH32PHB.0101, Rev. 4. 5 Calculation, "Finite Element Model, Thermal Analysis", Transnuclear, Inc., Calculation No. 1095-5, Rev. 0. 6 Calculation, "Sensitivity Analysis of Homogenized Fuel Region", Transnuclear, Inc., Calculation No. 1095-84, Rev. 1. 7 Calculation, "NUHOMS 32PHB Weight Calculation of DSC/TC System", Transnuclear, Inc., Calculation No. NUH32PHB-0201, Rev. 0. 8 Calculation, "Fuel Effective Thermal Properties for 32PHB DSC Design", Transnuclear, Inc., Calculation No. NUH32PHB-0407, Rev. 0. 9 ASME Boiler and Pressure Vessel Code, Section II, Part D, "Material Properties", 1998. 10 Specification, "Procurement Specification for Borated Aluminum Sheets for the NUHOMS -32P Dry Shielded Canister", Transnuclear, Inc., Specification No. E-20112, Rev. 3. 11 Calculation, "Thermal Analysis of NUH61 BTH DSC in HSM-H Storage Module", Transnuclear, Inc., Calculation No. NUH61BTH-0421, Rev. 0. 12 Rohsenow, Hartnett, Cho, "Handbook of Heat Transfer", 3 rd Edition, 1998. 13 Report, "Topical Report on Actinide-Only Burnup Credit for PWR Spent Fuel Nuclear Fuel Packages", Office of Civilian Radioactive Waste Management, DOE/RW-0472, Revision 2, September 1998. 14 Kreith, Frank, "Principles of Heat Transfer", 3 rd Edition, 1973. 15 ANSYS computer code and On-Line User's Manuals, Version 10.0.

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 8of56 16 Calculation, "Thermal Evaluation of NUHOMS 32PHB Transfer Cask for Normal, Off Normal, and Accident Conditions", Transnuclear, Inc., Calculation No. NUH32PHB-0402, Rev. 1. 17 Calvert Cliffs Independent Spent Fuel Storage Installation Updated Safety Analysis Report, Rev.17.

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 9of56 3.0 ASSUMPTIONS AND CONSERVATISM The assumptions and conservatism considered for 32PHB DSC model are the same as those assumed in the 32P DSC model [5, 6] except additional assumptions as below:

  • Axial decay heat profile is based on axial burnup distribution of VAP fuel assemblies with maximum peaking factor of 1.101 [2].
  • Active fuel length for fuel assemblies (FA) is 136.7"and located at 6" from the bottom of the fuel assembly [2]. The position of active fuel in the 32PHB DSC model is assumed 7.0" from the bottom of the basket, which maximizes radial heat dissipation through the DSC shell to bound the maximum component temperatures conservatively.
  • 0.30" diametrical hot gap between the shield plugs and the DSC inner surface. This gap is larger than the fabrication tolerances and therefore conservative.

0 0.20" axial gap between the bottom of the basket and the DSC bottom inner cover plate. This gap is larger than the fabrication tolerances to bound the maximum basket component temperatures conservatively by minimizing axial heat transfer through the DSC bottom plates. 1.50" axial distance between the top of the basket and the DSC top inner cover plate. The conservative assumption is that the heat transfer between the top basket and the inner cover plate only occurs by condition through cavity gas.

  • 0.01" axial air gap between shield plugs and DSC cover plates. This gap is larger than the contact gap tolerances and therefore conservative.

0.27" diametrical hot gap between the basket outer surface and the DSC inner surface. This assumption is justified in APPENDIX A. A 0.30" helium gap is modeled in the 32PHB DSC model and an effective conductivity is used for the elements that represent the 0.27" helium gaps (see Section 5.1.3). 0.01" contact gap on either side of the paired aluminum/poison basket plates. This gap is larger than the contact gap tolerances and therefore conservative. This contact gap is modeled by 0.02" and an effective conductivity is used for the elements that represent the 0.01" helium gaps (see Section 5.1.3). a DSC cavity length is modeled as 159.5" which is slightly longer than nominal cavity length from [7]. This assumption conservatively increases thermal resistance between the top of the basket and the DSC top inner cover plate. The major component dimensions are based on nominal sizes of 32PHB basket from [7]. Due to the above conservative assumptions, small dimension differences between the modeling and nominal sizes have an insignificant effect on thermal analysis results in Section 6.0. Radial and axial effective conductivities for homogenized 32PHB basket are calculated based on slice models of the baskets described in Section 5.2.

Calculation No.: NUH32PHB-0403 Revision No.: 1 Page: 10of56 4.0 DESIGN INPUT A thickness of 0.125" and a conductivity of 130 W/m-K (=6.26 Btu/hr-in-°F) is considered for the poison basket plates in this calculation. This poison basket plate is considered to be paired with 0.12" thick aluminum 1100 basket plate. The thermal conductivities for the paired aluminum/poison basket plates are calculated in Section 5.1.3. 4.1 Thermal Properties of Materials Material properties used in 32PHB DSC ANSYS model are listed in Table 4-1. The effective thermal conductivities for basket components in 32PHB DSC model are calculated in Section 5.1.3. The peaking factors used in the finite element model to create axial heat profile for the fuel assemblies are discussed in Section 5.1.4. The effective properties of the 32PHB basket are calculated in Section 5.2. These properties are used in transient analysis. Table 4-1 Material Numbers in ANSYS Model for the 32PHB DSC Component Material Material Homogenized Fuel Assembly (137.6" Active Fuel Length) 1 Effective conductivity Solid Rails 3 Al 6061 Top/Bottom Shielding 5 Lead Cavity Gas (Excluding 0.01" NA contact gaps) 7 Cavity Gas (Helium/Nitrogen) Rail Edge Space 70 Cavity Gas (Helium/Nitrogen) DSC Shell and End Cover Plates 12 SA-240, Type 304 Axial gap gas between end cover plates (0.01" gap) 17 Air DSC-Rail Gap (0.27") 72 Effective conductivity Al/Poison Contact Gaps, 900-2700 orientation (0.01"") 19 Effective conductivity Al/Poison Contact Gaps, 00-1800 orientation (0.01") 29 Effective conductivity Guide Sleeve, 900-2700 orientation (0.1874") 31 Effective conductivity Guide Sleeve, 00-1800 orientation (0.1874") 32 Effective conductivity Steel Bar Plates, 900-2700 orientation (0.25") 41 Effective conductivity Steel Bar Plates, 00-1800 orientation (0.25") 42 Effective conductivity Al/Poison Plates, 900-2700 orientation (0.125" Poison/0.12" All 100) 53 Effective conductivity Al/Poison Plates, 00-1800 orientation (0.125" Poison/0.12" All 100) 54 Effective conductivity Al Basket Plates, 900-2700 orientation (0.25") 55 Effective conductivity Al Basket Plates, 00-1800 orientation(0.25") 56 Effective conductivity

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 11 of 56 Thermal property values used in this calculation are listed in Table 4-2 through Table 4-8. Table 4-2 Thermal Properties of Homogenized Fuel Assembly in Helium [8] Transverse Axial Temperature Conductivity Conductivity Density Specific Heat (0F) (Btu/hr-in-OF) (Btu/hr-in-°F) (Ibm/in ) (Btu/Ibm-°F) 136.40 0.0202 231.08 0.0237 326.54 0.0277 422.72 0.0324 519.44 0.0378 0.0601 0.1308 0.0576 616.70 0.0440 714.48 0.0508 812.62 0.0583 911.07 0.0665 1009.76 0.0754 Table 4-3 SA 240/SA-479 Type 304 Stainless Steel Thermal Properties [4, 9] Temperature Thermal conductivity Density Specific Heat (OF) (Btu/hr-ft-°F) FIbm/in (Btu/lbm-°F) 70 8.6 0.114 100 8.7 0.114 200 9.3 0.119 300 9.8 0.122 400 10.4 0.29 0.126 500 10.9 0.128 600 11.3 0.130 700 11.8 0.132 800 12.2 0.132 900 12.7 0.134 1000 13.2 0.136

Calculation No.: NUH32PHB-0403 Revision No.: 1 Page: 12of56 Table 4-4 Aluminum Alloys Thermal Properties [4, 9] A11100 A16061 AI1100 A16061 AI1100/AI6061 Temperature Thermal Conductivity Specific Specific Heat Density (OF) (Btu/hr-ft-°F) (Btu/hr-ft-°F) (Btu/ Ibm-°F) (Ibm/ins) 70 133.1 96.1 0.214 0.213 100 131.8 96.9 0.216 0.215 150 130.0 98.0 0.219 0.218 200 128.5 99.0 0.222 0.221 0.098 250 127.3 99.8 0.224 0.223 300 126.2 100.6 0.227 0.226 350 125.3 101.3 0.229 0.228 400 124.5 101.9 0.232 0.230 Table 4-5 Helium Thermal Conductivity Temperature Thermal conductivity Temperature Thermal conductivity (K) (W/m-K) [12] (OF) (Btu/hr-in-°F) [4] 300 0.1499 80 0.0072 400 0.1795 260 0.0086 500 0.2115 440 0.0102 600 0.2466 620 0.0119 800 0.3073 980 0.0148 1000 0.3622 1340 0.0174 1050 0.3757 1430 0.0181 The above data are calculated based on the following polynomial function from [12]. k = IC, T' for conductivity in (W/m-K) and T in (K) For 300 < T < 500 K for 500< T < 1050 K CO -7.761491 E-03 CO -9.0656E-02 Cl 8.66192033E-04 Cl 9.37593087E-04 C2 -1.5559338E-06 C2 -9.13347535E-07 C3 1.40150565E-09 C3 5.55037072E-10 C4 0.OE+00 C4 -1.26457196E-13

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 13 of 56 Table 4-6 Air Thermal Conductivity Temperature Thermal conductivity Temperature Thermal conductivity (K) (W/m-K) [12] (OF) (Btu/hr-in-OF) [4] 250 0.02228 -10 0.0011 300 0.02607 80 0.0013 400 0.03304 260 0.0016 500 0.03948 440 0.0019 600 0.04557 620 0.0022 800 0.05698 980 0.0027 1000 0.06721 1340 0.0032 The above data are calculated based on the following polynomial function from [12]. k = C,T' for conductivity in (W/m-K) and T in (K) For 250 < T < 1050 K Co -2.2765010E-03 Ci 1.2598485E-04 C2 -1.4815235E-07 C3 1.7355064E-1 0 C4. -1.0666570E-13 C5 2.4766304E-17 Table 4-7 Nitrogen Thermal Conductivity [4, 12] Temp Thermal conductivity (OF) (Btu/hr-in-°F) 200 1.47E-03 300 1.64E-03 400 1.80E-03 500 1.95E-03 600 2.1OE-03 700 2.24E-03 800 2.37E-03 900 2.50E-03 1000 2.63E-03 1100 2.75E-03

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 14 of 56 Table 4-8 Thermal Properties of Lead (ASTM B29) [4] Temp Temp p K Cp (K) (OF) (lb/in3) (Btu/hr-in-OF) (Btu/lb-°F) 200 -100 0.413 1.767 0.0299 250 -10 0.411 1.733 0.0303 300 80 0.409 1.700 0.0308 400 260 0.406 1.637 0.0315 500 440 0.402 1.579 0.0327 600 620 0.398 1.512 0.0339 4.2 Design Criteria Maximum fuel cladding temperatures are in accordance with the guidance in ISG-1 1, Rev.3 [3], which are specified in [4] and shown in Table 4-9. Table 4-9 Maximum Fuel Cladding Temperature Limits for 32PHB DSC Thermal Analyses Operating Condition Ambient Temperature (F)[4 Fuel Cladding Limit (OF) Cold ' ] Hot U*) 1 [3] Normal -8 104 752 Storage Off-Normal -8 104 1058 Accident (Blocked Vent) -8 104 1058 Transfer Normal/Off-Normal -8 104 752 Accident (Fire) n/a 104 1058 Within Fuel Building] DSC in Vertical TC (w/o 00(2) (1) ,water in DSC/TC annulus) 100() 752 Notes: (1) Operations within fuel building when DSC is located in the TC in vertical orientation are considered normal conditions. (2) An average ambient temperature within fuel building [4]. (3) Ambient air temperatures ranging from -8 to 1040F are conservative compared to the ambient air temperature range from -3 to 1030F in [17], Section 12.3.6. Materials of the 32PHB basket can be subjected to a minimum environment temperature of -81F (-22.20C) without any adverse effects.

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 15 of 56 5.0 METHODOLOGY Thermal evaluations for 32PHB DSC in the HSM-HB are performed based on a finite element model using ANSYS computer code [15]. This model is described in the following sections. 5.1 32PHB DSC Model A half-symmetric, three-dimensional finite element model of 32PHB DSC (DSC shell and basket) is developed using ANSYS [15]. The model contains the DSC shell, the cover plates, shield plugs, aluminum rails, basket plates, and homogenized fuel assemblies. Only SOLID70 elements are used in the 32PHB DSC model. The geometry of the 32PHB DSC model and its mesh density are shown in Figure 5-1 through Figure 5-4. The sensitivity of mesh density on temperature distribution of the NUHOMS-32P DSC components is investigated in [6]. The results shows that the maximum fuel cladding temperature change is within 1IF for 14x14 fine mesh density compared to the coarse mesh densities between 5x5 and 6x6. Hence, a mesh density of 14x14 in the 32PHB DSC model is reasonable and acceptable.

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 16of56 Canister Length - 173.5" Cavity Length - 159.5" Basket Length - 157.8" Antiva FuAl I Annth.137 A" Lead Casing Lead Shielding Lead Casing Shell Bottom Cover Plate DSC Shell Al Rail Top Cover Plate Lead Casing Top Plate toead Shielding Lead Casing Side Plate 0.25" SS Plate Inner Cover Plate Mesh Density Figure 5-1 Finite Element Model of 32PHB DSC

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 17 of 56 Al Basket Plate, 90-270 Orientation SGuide Sleeve, 90-270 Orientation X0 BA Plate, 0-180 Orientation ~~~~~~Helium Contact Gap, 90-170 Orientationas e Plt Lo s Mesh Density Figure 5-2 32PHB DSC Model-rSection

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AREVA Page: 18of56 DSC Shell m /Al Rail / Diametrical Gap ,/(0.30" in the Model) Homogenized Fuel Assembly Rail Edge Space 53 53Contact Gap (0.02" in the Model) Figure 5-3 32PHB DSC Model - Gaps in the Basket

A AREVA Calculation Calculation No.: NUH32PHB-0403 Revision No.: 1 Page: 19 of 56 0.01" Axial Gap between Bottom End Plates 0.2" Axial Gap between Basket Bottom and Bottom Cover Plate 0.30" Diametrical Gap between Bottom Shielding and DSC Shell (a) DSC Bottom End Plates 0.01" Axial Gap between DSC Top End Plates I 1.5" Axial Gap between Basket Top and Inner Cover Plate 0.30" Diametrical Gap between Top Shielding and DSC Shell (b) DSC Top End Plates Figure 5-4 32PHB DSC Model-Axial Gaps at DSC Ends

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 20 of 56 5.1.1 Heat Generation Decay heat load is applied as heat generation load over the elements representing homogenized fuel assemblies. The heat generation rates used in this analysis is calculated as follows. 0~ =( q xPFj~xCF (5.1) Where q = Decay heat load per assembly defined for each loading zone, a = Width of the homogenized fuel assembly = 8.5", La =Active fuel length = 136.7" [4], PF = Peaking factor, see Section 5.1.4 for distribution of peaking factor, CF = correction factor = 1.0 assumed for 32PHB basket (see Section 5.1.4). The heat generation rates used in 32PHB DSC model are listed in Table 5-1. Table 5-1 Heat Generation Rates for 32PHB Basket Heat Generation Rate Heat Load in the Model Btu/hr-in 3 (kW) PF=1.0 (Base) PF=1.101 (Maximum) 1.0 0.345 0.380 0.8 0.276 0.304 The base heat generation rate is multiplied by peaking factors along the axial fuel length to represent the axial decay heat profile. The peaking factors from [2] are converted to match the regions defined for the fuel assembly in the finite element model. Section 5.1.4 describes the conversion method and lists the peaking factors used in the 32PHB DSC model. The heat generating rates for the elements representing the active fuel are calculated based on the heat load zone configuration (HLZC) for the 32PHB DSC. Figure 5-5 shows the HLZC with maximum heat load of 29.6 kW.

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 21 of 56 3 3 3 2 2 3 3 3 22 3 3 Heat Zone Level No of FA kW/FA Total 1 4 0.8 3.2 2 8 1.0 8.0 3 12 1.0 12.0 4 8 0.8 6.4 Total Heat Load, kW 29.6 Figure 5-5 Heat Load Zoning Configuration (HLZC) for 32PHB DSC with 29.6 kW Heat Load

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 22 of 56 5.1.2 Boundary Conditions for 32PHB DSC in the HSM-HB and CCNPP-FC TC The HSM-HB to be used for the 32PHB system is the same as the HSM-H described in the UFSAR for standardized NUHOMS system [1]. The HSM-H is used to store a 61 BTH DSC (with a maximum DSC length of 195.8", DSC diameter of 67.25") [11], which has the similar design feature as the 32PHB DSC. The outer diameter of 32PHB DSC is 67.25" and the maximum DSC length is 176.5" that is slightly shorter than the 61 BTH DSC length of 195.8" considered in the HSM-H model for 61 BTH DSC [11]. Because the heat load of 31.2 kW and basket length of 164"are considered in the HSM-H model, the decay heat flux applied in the 61 BTH DSC inner shell in the HSM-H model is slightly higher than that applied in the 32PHB DSC with a maximum heat load of 29.6 kW. The short 32PHB DSC also causes a slightly lower hydraulic resistance within the HSM-H. Therefore, the values derived for DSC shell temperatures from the HSM-H model with 61 BTH DSC in [11] can be used for thermal analysis of 32PHB DSC under storage conditions. The DSC shell temperatures for the 31.2 kW heat load in the HSM-H Model provided in [11] are used to map the surface temperatures for 32PHB DSC shell surface temperature via the related macro files listed in Section 8.0, Table 8-2. The DSC shell temperatures based on normal ambient 0°F, off-normal ambient 117 0F (average 1050F) and accident blocked vent (40 hours) from the HSM-H model in [i1] are design basis DSC shell temperatures for 32PHB DSC storage conditions. The differences in ambient temperatures between 61 BTH and 32PHB DSCs under storage conditions are minor and have insignificant effects on thermal evaluation of 32PHB DSC. The 32PHB DSC shell temperatures for normal, off-normal, and accident transfer operations are retrieved from the CCNPP-FC TC model described in [16]. Typical boundary conditions for 32PHB DSC model are shown in Figure 5-6.

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 23 of 56 AELEMENTS HGEN RATES QMIN-0 QMAX-. 380389 T EMP, 0.042265 .084531 .126796 i .169062 .211327 J.253593 [-- 295858 .338124 .380389 AN ELEMENTS HGEN RATES AN ELEMENTS QMIN-. 304035 HGEN RATES QMX-. 380389 QMIN-.044223 .3025 QMAX-.380389 321003 .044223 .329486 .081575 .346454 .l118927 MN .354938 .156279 1 .371905 S.19363 10.380389 .230982 .ZI 268334 EJ 305686 .343037

380389 MEU..

U. Figure 5-6 Typical Boundary Conditions for 32PHB DSC

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1 AR EVA Page: 24 of 56 5.1.3 Effective Conductivity for Basket Components with Modified Thickness The effective conductivities of basket components used in the analysis are determined based on modified thicknesses as summarized in Table 5-2. Table 5-2 32PHB Basket Component Thicknesses Components Thickness, inch Model Nominal ANSYS Material No (tiodel) (tl~esian) AI/Poison Contact Gap 0.02 0.01 19, 29 Guide Sleeve 0.1674 0.1874 31,32 Basket SS Plate 0.1874 0.25 41,42 Al/Poison Plate 0.1874 0.245 53, 54 Basket All 100 Plate 0.1874 0.25 55, 56 DSC-Rail Diametrical Gap 0.30 0.27 72 The effective thermal conductivities for the basket components in 32PHB DSC model are calculated as follows: k parallel x tDesign

k.

~ sg k eff,across Where t Model k across X t Model t Design (5.2) along the plane (parallel resistance), (5.3) across the thickness (serial resistance) kparalel = thermal conductivity along the plane for basket component (Btu/hr-in-°F), kacross = thermal conductivity across the thickness for basket component (Btu/hr-in-°F), tOesign = nominal thickness of basket component (in), tModel = modeled thickness of basket component (in). The conductivities for paired Al/poison basket plates are calculated below: k Al X tal + kPP x tPP =.8Buh-n° kA, /Poison, parallel - tA + 'tp =8.28 Btu/hr-in-OF t Al+ tp kAI/Poison, across - tIA + tpp =7.77 Btu/hr-in-°F tAl / kA, + tPP / kPP Along the plane (parallel resistance), Across the thickness (serial resistance) Where k* = thermal conductivity for All 100 plate at 400°F = 10.375 Btu/hr-in-°F, kpp = thermal conductivity of 130 W/m-K for poison plate = 6.26 Btu/hr-in-°F, tAl = nominal thickness of Al plate =0.12", tpp = nominal thickness of poison plate = 0.125".}}

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