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NUH32PHB-0403, Revision 1, Thermal Evaluation of Nuhoms 32PHB DSC for Storage and Transfer Conditions
	ML15075A341
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Site:	Calvert Cliffs
Issue date:	03/10/2015
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ENCLOSURE11 NUH32PHB-0403, Revision 1,Thermal Evaluation of NUHOMS 32PHB DSC for Storage andTransfer Conditions Calvert Cliffs Nuclear Power PlantMarch 10, 2015 Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AR EVA Page: 38 of 56In 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 BasketT1 (Ttop) T2 (Tbottm)

Tavq Qreaction kbasket.

axl(OF) (OF) (OF) (Btu/hr)

(Btu/hr-in-°F) 50 150 100 14918 1.9946150 250 200 15252 2.0393250 350 300 15527 2.0760350 450 400 15747 2.1055450 550 500 15826 2.1160550 650 600 15877 2.1228650 750 700 15928 2.1297750 850 800 15972 2.1355850 950 900 16019 2.1418950 1050 1000 16061 2.14745.2.2.2 Radial Effective Thermal Conductivity The basket slice model is also used to calculate the transverse effective thermal conductivity ofthe basket. For this purpose, constant temperature boundary conditions are applied on theoutermost nodes of the slice model and heat generating conditions are applied over the fuelelements.

The heat generation rates for the slice model of 32PHB basket are calculated based on theHLZC shown in Figure 5-5 with a total heat load of 29.6 kW and a peaking factor of 1.1 for32PHB 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 ToTrork= 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).

AAREVACalculation Calculation No.: NUH32PHB-0403 Revision No.: 1Page: 39 of 56Equation (5.7) is rearranged to calculate the transverse effective conductivity of the basket asfollows.QradV(5.8)(5.9)baktd Qrad *rO Q Qrad4.asVet-aAT 27r -L -ATWith Qrad = Amount of heat leaving the periphery of the slice model -reaction solutionof the outermost nodes (Btu/hr),

L = Length of the slice model = 22.86",V = Volume of the slice model = (7cro2L)/2,AT = (Tmax -To) = Difference between maximum and the outer surfacetemperatures in (OF).Since the surface area of the fuel assemblies at the basket cross section is much larger than theother components, assuming a uniform heat generation is a reasonable approximation tocalculate the radial effective conductivity.

Typical applied boundary conditions are shown in Figure 5-9 (b).In determining the temperature dependent transverse effective conductivities an averagetemperature, 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 5-15Effective Radial Conductivity for 32PHB BasketTo TMAX Tava Qreaction

kbasket, rad(OF) (OF) [OF] (Btu/hr)

(Btu/hr-in-°F) 100 530 315 9298 0.151200 605 403 9298 0.160300 683 492 9298 0.169400 762 581 9298 0.179500 843 672 9298 0.189600 926 763 9298 0.199700 1010 855 9298 0.209800 1097 949 9298 0.218900 1189 1045 9298 0.2241000 1285 1143 9298 0.227 Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AR EVA Page: 40 of 566.0 RESULTSFor cold normal and cold off-normal storage conditions with -81F ambient temperature, the32PHB DSC shell temperatures are derived from 61 BTH DSC shell temperatures for normalstorage with 0°F ambient temperature and 31.2 kW heat load in the HSM-H model [11]. Thisapproach is conservative and acceptable for thermal evaluation of 32PHB DSC for both coldnormal and cold off-normal storage conditions.

As discussed in [16], thermal analysis results of 32PHB DSC for hot off-normal transfercondition 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 BottomOperating Condition Cladding (Guide Sleeve) (Shell) Plate Rails SPlug PlugTmax Tmax Tmax Tmax Tmax Tmax Tmaxm(F (OF) (OF) (OF) (OF) (OF)Cold (1) 648 626 362 626 372 63 170Normal Hot (4) <724 <706 <436 <705 <461 <185 <273Off- Cold (1) 648 626 362 626 372 63 170Storage Normal Hot (2) 724 706 436 705 461 185 273Accident Blocked Vent (3) 867 853 595 853 626 344 496Cold (6) <728 <709 <408 <708 <472 <346 <358Normal Hot 1040F @ 20 hrs (6) <728 <709 <408 <708 <472 <346 <358Transfer Off- Cold (6) <728 <709 <408 <708 <472 <346 <358Normal Hot 1040F@ 20 hrs 728 709 408 708 472 346 358Accident Fire (7) 932 919 656 919 705 560 570DSC in Vertical TC @ 733 715 397 715 466 348 365Within 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 hours4.62963e-4 days 0.0111 hours 6.613757e-5 weeks 1.522e-5 months ' blocked vent.Bounded by hot off-normal storage case.(5) An average ambient temperature of 100°F considered within fuel building and no water inDSCITC 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 transferconditions.

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AR EVA Page: 41 of 56Table 6-2 Average 32PHB DSC Component Temperatures Hottest Section (OF) Whole DSC (OF)Operating DescriptionI R45 R90 Bask. Rail I Helium FuelCondition (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 474Hot(4) <440 <453 <431 <437 <438 <574 <390 <518 <423 <353 <501 <557Off- Cold 345 364 341 348 354 491 298 431 332 256 415 474Normal Hot (2) 440 453 431 437 438 574 390 518 423 353 501 557Accident Block Vent(3) 614 619 601 607 589 730 567 674 586 523 657 708Transfer Condition Normal Cold (8) <449 <464 <439 <439 <398 <575 <387 <532 <446 <373 <516 <566Hot(8) <449 <464 <439 <439 <398 <575 <387 <532 <446 <373 <516 <566Off- Cold (8) <449 <464 <439 <439 <398 <575 <387 <532 <446 <373 <516 <566Normal 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 778DSC inFuel Vertical TC 440 458 440 458 440 583 395 541 442 385 526 575Ful @ 20 hrsBuilding (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 hours4.62963e-4 days 0.0111 hours 6.613757e-5 weeks 1.522e-5 months ' 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 inDSC/TC annulus [4].

Calculation No.: NUH32PHB-0403 Revision No.: 1Page: 42 of 560'1--ROR457ZR90270 -----90\U.RIO0pIdo32PHB RailsFigure 6-1 Location of 32PHB Basket Rails Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AR EVA Page: 43 of 56Typical temperature plots for 32PHB DSC components with 29.6Figure 6-2 to Figure 6-7.AtEiS 10.OA1SW 9200915:15:36PIar NO. 2NODAL SCEMr ICSTEE=-1SUB =1Tinl-iS =256.091SM =647.712mm256.097 m299.61343.123386.635430. 148S473 .661517.174m 560.686mlm604.199 647:712kW heat load are shown inANSYS 10.0O1SEP 9 200915:15:50PLOT NO. 3NODAL SOLOUMISTUP-1i73U =1TnME=ITEWPSM4 =222. 476-( =626.106mR222. 416267.323312.171357.019m401.861m 446.715491.562536.41581.258626.106AK)Y 10.1AISEP 9200915:16:34PILT NO. 6N SODAIL= NISTEEI-SUB =1TMW"m =47.274SMK =361.945m47.27482.238117.201152.165187.128222.092E3257.055 m292. 018* 326.982361.945Fuel CladdingGuide SleeveAK)YS 10.0A1SEP 9 200915:16:26FIXr NO. 5NODAL SCUTTIGCSTEP-ISUB =1TIME=1IEMF5"4 =226.168SW( =371.633m 226.168m242.33-258. 493274. 656mm290.819 306 .982323.144m 339.307S355.471371. 633Basket RailDSC ShellFigure 6-2 Temperature Plots for 32PHB DSC(Normal Storage @ 0°F, 29.6 kW)

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AR EVA Page: 44 of 56AR-S 10.0A1SEP 9 200915:18:54PTr NO. 12NODAL SOfLMIONSTEP=-29B =1TIME=2TEMP"4 =348.832SHX =724.1611348. 832390.5351 432.239" 473.942Imn 515.645r-1557.348

[-1 599.052-o 640.755-682.458724 .161HEYS i0.OAlSEP 9 200915:19:09PLOr NO. 13MLAI SEJTIONSTEP=2SUB =1TME=2SM =320.095S3X =705.625320.095l 362.932405 .769.605ms491. 442E 534.279577.115S619952l 662.7189705., 625Fuel CladdingGuide SleeveAM'YS 10.lOASEP 9 200915:19:46PIT NO. 15NODAL SW=rIclSTEP=2JB =1TIME=23MWS =322.808Sb =460.6322.8081 338.119353.429368:739384.049IS 399.359-414.669* 429.98S445.29460.6ANMYS 10.AISEP 9 200915:19:53PLT NO. 16lUAL SOUJIGNSIEP--2S1=iSUB =1TIME=2TMVSM =168. 808S4 =436.187-168.808S198.511II 228.226* 257.934Em 287. 643S317:3528 347.06376.8769m 406.478436.181Basket RailDSC ShellFigure 6-3 Temperature Plots for 32PHB DSC(Off-Normal Storage @ 1040F, 29.6 kW)

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AR EVA Page: 45 of 56MM 10. 0OA1 AIMS 10.0A1SEP 92009 SEP 9 200915:22:18 15:22:32PIrTNO. 22 PfUT NO. 23NCDAL SOUJTIcU NDAL SOWIOI0KSTEP=3 STEP=3S3B =1 SUB =1TIlE-I3 TD=3TEMEI TEMP3( 5 608.223 3S4 =482.452-,6 -867.335 9 =853.178508.23 IBS482.452 548. UN 523.644* 588.026 564.836m 627.927 m 606.027fu 667 .828 647.219707.13 688.411747:631D 729.603787 .532 IV- 770. 795827.434 811:987867.335 853.178Fuel Cladding Guide SleeveAMYS 10.Al AM 1S 10.lOASEP 9 2009 SEP 9 200915:23:08 15:23:16PIDr NO. 25 PfLT NO. 26NCMA SCXLrI(N NODAL SOIDTIMMSTEP=3 STEP=-3SUB -1 SUB =1TIME-3 TIM=3S34 =480. 331 SM( =321.333S4K -626.411 S3( =595.133480.331321.

333496.5U1 351. 755512:793 382177] 529 024 IM 259545 .255 i 443.022561.486 473.444F-1577. 117 r --- 503.866593.949 534.288610 18 56471626.411 595.133Basket Rail DSC ShellFigure 6-4 Temperature Plots for 32PHB DSC(Block Vent @ 40 Hour, 29.6 kW)

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AREVA Page: 46 of 56MNYS 10.OA1OCr 21 200923:53:56PLOr NO. 2NODAL SWOrIcZIST3,=-1TIME-ITEWPS41 =365.30534K -728.373S365 305405-6463 445.986-486.327526.668567.009-607.35647.691688.032728.373NS 10.0A1wEr 21 200923:54: 46PLOTr NO. 5NODAL S=ErONSTEP-IS3B -1SM3 -355.661SM4 -472.105-355.661S368,599381 .5373 394.476407.414420.352433.294467228459.166m 472,.105ANM 10.OAIOCT 21 200923:54:10PLOT NO. 3NODL SW710lSCrEEOlSTEP-ISUB =1S4 =356.965S34 -709.067mm356.965 396.088-435.21474. 333513 .455552.578591.7630.823-669.945709.067A6EYS 10.OAlOCr 21 200923:54:53PLOT NO. 6NDL S=LfIcZNSTEP-iSUB -1Th4K=1TEMP-4 -266.6S4 -407.896266.6282.299297. 999313.698329.398=3345,098

--I360. 797s 376.497392.196407.896Fuel CladdingGuide SleeveBasket RailDSC ShellFigure 6-5 Temperature Plots for 32PHB DSC(Off-Normal

Transfer, 1040F @ 20 Hour, 29.6 kW)

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AR EVA Page: 47 of 56ANnES 10.CA YS 1.O0A4OCr 22 2009 Oar 22 200900:00:35 00:00:49PLar NO. 22 PLr NO. 23STP-3 STP-3SUB =1 5M =1TH3 H=3TwM-=410.874 S1 -402.47SW =733.422 SHK =715.421 410.874 402.4744 ll43.242482:551 472.015518.39 506. 7870: 5.-90 .67M 576.331S625906 .611.104661.745 645l876697.583 680.648733.422 715.42Fuel CladdingGuide SleeveiN 10. OA1 ANMYS 10. OAhOCT 22 2009 OCr 22 200900:01:26 00:01:33PLr NO. 25 NO. 26NODAL S IC NODAL S9!n170SIEP-3 SIZP=3am =1 S =1TME=3 TDME=3-MN =402.391

" =321.78H4( =466.123

-W =397.033402 391321.78 40942.9I 330.1423 416.554 338.503-23.635 346.8641 430. 716 1 355 .226437 798 -363.587444.879 r 371. 94941 1. % 380.31* 459.042 388 672466.123 397.033Basket Rail DSC ShellFigure 6-6 Temperature Plots for 32PHB DSC(Vertical

Transfer, 100IF @ 20 Hour, 29.6 kW)

Calculation No.: NUH32PHB-0403 Revision No.: 1Page: 48 of 56ANSYS 10.MAOaWr 21 200923:57: 14PFX NO. 12NODAL SOEJTIC*STEE9=2SJB =1TIME=2TEWPSHN =581.712SbW =932.197S581. 712620- U%659.597698 .54737.483776.426$3 15.368854. 311893:254932.197ANYS 10.01AOCT 21 200923:57:29PLor NO. 13NODA.L S=CNl~MIEP--29M =1TDME=2TEMP"'! =571.224( =919.23571.224i 609. 891648.558687.226725. 893764,56r'"7 803.228-I841.895 880.562919.23Fuel CladdingGuide SleeveANSYS 10.OA1OCT 21 200923:58:06PLOr NO. 15NODAL SOLUTICKSTEE--2SUB -1Tn3E-2TRVB.%V =572.671SM4 =705.405572.671581.42602.168616.916631.664646.412-661.161675.909690.657705.405A6N-S 10.0A1OCr 21 200923:58:13PLOT NO. 16NODAL SCTUIGNT]IEE=2as1 =1TDMPSM- =444.574S1K -656.082444.574468.0753 491.575515.076mm538.577 EM 562.078585.579-609.08-632.581656.082Basket RailDSC ShellFigure 6-7 Temperature Plots for 32PHB DSC(Fire Accident

Transfer, 29.6 kW)

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AR EVA Page: 49 of 5

67.0 CONCLUSION

The maximum fuel cladding temperatures for 32PHB DSC storage in HSM-HB and transfer inthe 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 LimitCondition Tmax Tlimit(OF) (OF)Normal Cold (1) 648 752 [3, 4]Hot (4) <724Off- Cold (1) 648Storage Normal Hot (2) 724 1058 [3, 4]Accident Block Vent (3) 867Normal Cold (6) <728 752 [3, 4]Hot (6) <728Off- Cold (6) <728Transfer Normal Hot 1040F @ 20 hrs 728 1058 (3, 4]Accident Fire (7) 932DSC in Vertical TCWithin 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 hours4.62963e-4 days 0.0111 hours 6.613757e-5 weeks 1.522e-5 months ' blocked vent.(4) Bounded by hot off-normal storage case.(5) An average ambient temperature of 100OF considered within fuel building and no water inDSC/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 andtransfer conditions are lower than the allowable limits.The maximum component temperatures of 32PHB DSC for normal, off-normal, and accidentstorage conditions are summarized in Table 7-2. All materials can be subjected to a minimumenvironment temperature of -80F (-220C) without any adverse effects.

AAREVACalculation Calculation No.: NUH32PHB-0403 Revision No.: 1Page: 50 of 56Table 7-2Maximum Basket Component Temperatures Basket DSC Al/Poison

[Basket Top Shield BottomOperating Description (Compartment)

(Shell) Plate Rails Plug Shield PlugCondition Tmax Tmax Tmax Tmax Tmax Tmax(OF) OF (IF) (IF) (IF) .(F)Normal Cold (1) 626 362 626 372 63 170Hot (4) <706 <436 <705 <461 <185 <273Off- Cold (1) 626 362 626 372 63 170Storage Normal Hot (2) 706 436 705 461 185 273Accident Block Vent (3) 853 595 853 626 344 496Normal Cold (6) <709 <408 <708 <472 <346 <358Hot (6) <709 <408 <708 <472 <346 <358Transfer Off- Cold (6) <709 <408 <708 <472 <346 <358Normal Hot 1040F@ 20 hrs 709 408 708 472 346 358Accident Fire (7) 919 656 919 705 560 570DSC in Vertical TCWithin Fuel Building

@20 hrs (5) 715 397 715 466 348 365Notes: (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 hours4.62963e-4 days 0.0111 hours 6.613757e-5 weeks 1.522e-5 months ' 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 inDSC/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.: 1Page: 51 of 56The effective thermal properties for 32PHB basket are summarized in Table 7-3.Table 7-3Effective Thermal Properties for 32PHB BasketBasket 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 0.095403 0.160 200 2.0393 100 0.096492 0.169 300 2.0760 200 0.098581 0.179 400 2.1055 300 0.099672 0.189 500 2.1160 400 0.100763 0.199 600 2.1228 500 0.101855 0.209 700 2.1297 600 0.101949 0.218 800 2.1355 700 0.1011045 0.224 900 2.1418 800 0.1011143 0.227 1000 2.1474 900 0.102Peffbasket 0.1308 Ibm/in31000 0.102 Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AR EVA Page: 52 of 568.0 LISTING OF COMPUTER FILESA summary of ANSYS runs is listed in Table 8-1. All the runs are performed using ANSYSversion 10.0 [15] with operating system "Linux RedHat ES 5.1", and CPU "Opteron 275 DC 2.2GHz" / "Xeon 5160 DC 3.0 GHz".Table 8-1Summary of ANSYS RunsRun Name Description Date / TimeLoad 1 Normal Storage Conditions, 0°F ambient, 29.6 kW32PHBSTB1M Load 2 Off-Normal Storage Conditions, 1040F ambient, 29.6 kW 09/09/09 03:24 PMLoad 3 Accident Storage Conditions, Block Vent @ 40 hrs, 29.6 kWLoad 1 Off-Normal Transfer Conditions

@ 20 hrs, 1040F ambient,29.6 kW32PHB_TC2M Load 2 Fire Accident Transfer Conditions

@ Steady-State, 29.6 kW 10/22/09 00:02 AMLoad 3 Vertical Transfer Conditions

@ 20 hrs, 29.6 kW32PHBRadialKeff Effective conductivity for 32PHB basket in radial direction 09/16/09 06:00 PM32PHBAxialKeff Effective conductivity for 32PHB basket in axial direction 09/14/09 10:50 AMA list of the macro files to map the DSC shell temperature from 61 BTH DSC with 31.2 kW [11] isshown 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 FileNormal storage shell temp -32PHBDSC model, 29.6 kW @ 0°FOff-Normal storage shell temp -TempMapST31 32PHB DSC model, 29.6 kW @ 07/13/09 08:52 AM1050FAccident storage shell temp -32PHB DSC model, 29.6 kW, BlockVent @ 40 hrsA list of the files to create geometries for 32PHB DSC is shown in Table 8-3.

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AR EVA Page: 53 of 56Table 8-3 List of 32PHB DSC Geometry Generation FilesFile Name Date I Time(Input and Output) Description for Output File32PHBModel Creates geometry for 32PHB DSC (14x14 for FA mesh) 07/10/09 07:49 PMANSYS macros, and associated files used in this calculation are shown in Table 8-4.Table 8-4 Associated Files and MacrosFile Name Description Date I Time32PHBTCOFNTRANS_20hrMap.cbdo

[16] Off-normal transfer shell temperature 10/21/09 05:44 PMprofile @ 20 hrs from Transfer Caskmodel [16].32PHBTCVERTTRANS_20hrMap.cbdo

[16] Vertical transfer shell temperature 10/21/09 05:49 PMprofile @ 20 hrs from Transfer Caskmodel [16].32PHBTCACC NSMap.cbdo

[16] Fire accident.transfer shell 10/21/09 06:00 PMtemperature profile @ steady statefrom Transfer Cask model [16].32PHBMat1.inp Material properties for 32PHB DSC 09/09/09 09:54 AMwith Helium32PHBHLZC2.MAC Heat generation for 32PHB DSC, 09/03/09 08:56 AM29.6 kWMacro Macro to get Maximum/Minimum 05/20/05 12:03 PMtemperatures Results.mac Macro to list maximum and average32PHB DSC component 07/22/09 11:52 AMtemperatures The spreadsheets used in this calculation are listed in Table 8-5.

AAREVACalculation Calculation No.: NUH32PHB-0403 Revision No.: 1Page: 54 of 56Table 8-5List of Spreadsheets File Name Description Date / Time32PHB-lnput.xls Peaking factors and material properties for 11/10/09 03:13 PM32PHB DSC32PHBBasketProp.xls 32PHB basket effective properties 11/10/09 03:29 PMhotgap_32PHB.xls Hot gap between 32PHB basket rail/DSC shell 11/03/09 11:04 AM Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AR EVA Page: 55 of 56APPENDIX A JUSTIFICATION OF HOT GAP BETWEEN BASKET AND DSC SHELLA.1 Hot Gap for 32PHB DSCBased on sketch NUH32PHB-30-7, Note 8 [7], a nominal diametrical cold gap of 0.375" isconsidered 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 sectionfor hot off-normal transfer condition are considered to calculate the nominal hot gap size atthermal equilibrium.

The average temperatures are listed in Table A-1.Table A-1 Average Temperatures at Hottest Cross Section for 32PHB DSCComponent Hot Off-Normal Transfer

@20 hrsTava (OF)Basket (compartments

& wrap plates only) 575Al Rail @ 0 degree 449Al Rail @ 180 degree 398DSC Shell 387The 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 datain [9] Table TE-2),Tavg,B = Average basket temperature at the hottest cross section, see Table A-1 (OF),

.4AAREVACalculation Calculation No.: NUH32PHB-0403 Revision No.: 1Page: 56 of 56Tavg,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 degreeorientation, 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 heatloads 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 DSC29.6 kW Heat Load, Off-Normal Transfer

@ 1040F AmbientCold dimension Temp (xx10-6 (1) AL Hot dimension (in) (OF) (in/in/°F)

(in) (in)Basket width 54.999 575 9.775 0.271 55.270Large rail @ 00 5.313 449 13.796 0.028 5.341Large rail @ 1800 5.313 398 13.592 0.024 5.337Basket OD 65.625 1 65.948DSC shell ID 66.00 387 9.461 0. 198 66.198Gap 0.375 0.25Note: (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 theDSC shell. This assumption is conservative since the hot gap calculated in Table A-2 is smallerthan the assumed gap of 0.27".

AAREVACalculation Calculation No.: NUH32PHB-0403 Revision No.: 1Page: 25 of 56The effective thermal properties for the basket components in 32PHB DSC model are listed inTable 5-3 through Table 5-8.Table 5-3Effective Thermal Conductivities for 0.02" Al/Poison Contact Gap (Mat 19/29)Cavity Gas -Helium Cavity Gas -NitrogenTemp 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 9001.251 E-035.005E-03 1000 j 1.315E-03 j 5.259E-03 1100 1 1.376E-03 5.506E-03 Table 5-4Effective Thermal Properties for Guide Sleeve (Mat 31/32)Temp KeffparalleI Keffacross p Cp(OF) (Btu/hr-in-°F)

(Btu/hr-in-°F)

(Ibm/in3) (Btu/Ib-°F) 70 0.802 0.640 0.114100 0.812 0.648 0.114200 0.868 0.692 0.119300 0.914 0.730 0.122400 0.970 0.774 0.126500 1.017 0.811 0.290 0.128600 1.054 0.841 0.130700 1.101 0.878 0.132800 1.138 0.908 0.132900 1.185 0.945 0.1341000 1.231 0.983 0.136 Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AR EVA Page: 26 of 56Table 5-5Effective Thermal Properties for Basket Stainless Steel Plate (Mat 41/42)Temp Keffparallel Keff'across P 3 Cp(OF) (Btu/hr-in-0F) (Btu/hr-in-°F)

(Ibm/in)

(Btu/Ib-°F) 70 0.956 0.537 0.114100 0.967 0.543 0.114200 1.034 0.581. 0.119300 1.090 0.612 0.122400 1.156 0.650 0.126500 1.212 0.681 0.290 0.128600 1.256 0.706 0.130700 1.312 0.737 0.132800 1.356 0.762 0.132900 1.412 0.793 0.1341000 1.467 0.825 0.136Table 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 0.214100 14.652 8.233 0.216150 14.452 8.121 0.219200 14.285 8.027 0.098 0.222250 14.152 7.952 0.224300 14.030 7.883 0.227350 13.930 7.827 0.229400 13.841 7.777 0.232 Calculation No.: NUH32PHB-0403 A Calculation Revision No.: 1AR EVA Page: 27 of 56Table 5-8Effective Thermal Properties for DSC-Rail Gap (Mat 72)Cavity Gas -Helium Cavity Gas -NitrogenTemp 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 9002.252E-03 2.781 E-031000 2.367E-03 2.922E-03 1100 2.478E-03 3.059E-03 Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AR EVA Page: 28 of 565.1.4 Axial Decay Heat Profile for PWR Fuel Assemblies The axial decay heat profile for fuel assemblies considered in the 32PHB DSC is based on axialburnup distribution of VAP fuel assemblies described in [2], which can accommodate spent fuelwith a maximum average burnup of 53 GWd/MTU.

For conservatism, the bounding peakingfactor profile is determined according to the maximum axial peaking factor value at each axiallocation 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 themaximum axial peaking factor in the middle region, and the flux shape becomes morepronounced in the fuel end regions.

Therefore, the application of a heat flux shape for a lowerburnup spent fuel (53 GWd/MTU) on a higher burnup spent fuel (up to 62 GWd/MTU for32PHB 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 finiteelement model (FEM) of 32PHB DSC." The peaking factor for each section in FEM is calculated by interpolation between thepeaking factors in [2] using the average heights.The peaking factors for fuel assemblies in the 32PHB DSC model are listed in Table 5-10 andillustrated in Figure 5-7.

Calculation No.: NUH32PHB-0403 Revision No.: 1Page: 29 of 56Table 5-9Bounding Peaking Factors for 32PHB Fuel Assemblies

[2]% of Core length Length Peaking Factors Area under Curve0.00 0 0.000 0.002.19 3.0 0.641 0.965.85 8.0 0.853 3.747.50 10.3 0.920 1.998.23 11.3 0.941 0.939.51 13.0 0.967 1.6712.45 17.0 1.027 4.0116.87 23.1 1.074 6.3521.29 29.1 1.091 6.5425.71 35.1 1.094 6.6030.12 41.2 1.093 6.6034.54 47.2 1.090 6.5938.96 53.3 1.087 6.5743.38 59.3 1.085 6.5647.80 65.3 1.086 6.5652.30 71.5 1.098 6.7256.88 77.8 1.101 6.8861.46 84.0 1.101 6.8966.04 90.3 1.100 6.8970.61 96.5 1.097 6.8875.19 102.8 1.092 6.8579.77 109.1 1.080 6.8084.35 115.3 1.049 6.6688.93 121.6 0.979 6.3591.77 125.5 0.915 3.6792.50 126.5 0.883 0.9094.15 128.7 0.821 1.9297.81 133.7 0.616 3.59100.00 136.7 0.000 0.92 Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AREVA Page: 30 of 56Table 5-10 Peaking Factors for Fuel Assemblies in the 32PHB DSC ModelRegion Fuel Model Z-Coord (in) Average Height Peaking Area under# from to from Bottom (in) Factor Curve1 -3.140 -0.060 1.540 0.329 1.0132 -0.060 4.120 5.170 0.733 3.0643 4.120 12.460 11.430 0.933 7.7794 12.460 20.740 19.740 1.047 8.6715 20.740 28.060 27.540 1.086 7.9486 28.060 35.320 34.830 1.093 7.9377 35.320 41.600 41.600 1.092 6.8598 41.600 48.860 48.370 1.089 7.9069 48.860 56.120 55.630 1.086 7.88510 56.120 64.460 63.430 1.087 9.06111 64.460 72.800 71.770 1.097 9.15012 72.800 80.060 79.570 1.101 7.99113 80.060 87.320 86.830 1.100 7.98814 87.320 95.660 94.630 1.098 9.15815 95.660 100.860 101.400 1.093 5.68616 100.860 111.260 109.200 1.076 11.18717 111.260 118.520 118.030 1.019 7.39518 118.520 124.800 124.800 0.919 5.77019 124.800 128.920 130.000 0.767 3.15920 128.920 132.000 133.600 0.565 1.74021 132.000 133.560 135.920 0.160 0.250Sum137.60Normalized 1.007Corr. Factor 0.9931.21.00.8L-0.40.0.20.00 25 50 75 100 125 150PActive Fuel Length (in)Figure 5-7 Peaking Factor Curve for PWR Fuels Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AR EVA Page: 31 of 56As 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 0.993as calculated below.Area under Axial Heat ProfileNomalized Area under Curve = AreanderxialeatPofile=

1.007.Active Fuel LengthCorrection Factor == 0.993.Normalized Area under CurveFor conservatism, the correction factor of 1.0 is assumed in the 32PHB DSC model.

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AR EVA Page: 32 of 565.2 Effective Thermal Properties of 32PHB BasketThe 32PHB basket effective

density, thermal conductivity and specific heat are calculated foruse in the transient analyses.

The calculation of effective density and specific heat are based onthe DSC component weight data provided in [7].The effective properties are valid only when the homogenized basket are modeled with thedimensions listed in Table 5-11 :Table 5-11 Dimensions of Homogenized BasketsDSC Type 32PHBBasket OD (in) 66.0Basket length (in) 158.05.2.1 Effective Density and Specific HeatThe 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 /4basket Wi .Cp, Wstee

C psteel + Al * + Wpoison

Cppoison

+ Wfuel " Cp fueCpC 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) andspecific heat (Cp):" For aluminum at T > 4000F, Cp value is conservatively assumed equal to value at4000F.* 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.: 1Page: 33 of 56Table 5-12Effective Density for 32PHB BasketComponents Material Total Weight [7] (Ibm)Fuel Assembly 46400Guide Sleeve SS304 9548AI/Poison Plate Aluminum 2092Steel Plate SS304 1616Rail 90 Aluminum 8122Rail 45 Aluminum 2952Total 70730Dimension Dbasket 66.00 inLbasket 158.0 inVbasket 540549 in3Peff basket 0.1308 Ibm/in3 Calculation No.: NUH32PHB-0403 Revision No.: 0Page: 34 of 56Table 5-13 Effective Specific Heat for 32PHB BasketFuel Stainless Steel Aluminum/Poison Rail 90 Rail 45 TotalComponents_

Assembly I Plates of Basket Plates Rail 90 _Rail 45 _TotalMaterial (1)--- Stainless Steel Stainless Steel Al Al Al ---Weiaht (Ibm) [71464009548161620928122295270730Temp 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/lbm-°F) 70 2,673 1,085 184 446 1,730 629 6,746 0.095100 2,673 1,091 185 450 1,747 635 6,780 0.096200 2,673 1,136 192 462 1,792 651 6,906 0.098300 2,673 1,167 198 473 1,835 667 7,012 0.099400 2,673 1,201 203 480 1,865 678 7,101 0.100500 2,673 1,222 207 480 1,865 678 7,125 0.101600 2,673 1,237 209 480 1,865 678 7,143 0.101700 2,673 1,256 213 480 1,865 678 7,165 0.101800 2,673 1,263 214 480 1,865 678 7,174 0.101900 2,673 1,280 217 480 1,865 678 7,193 0.1021000 2,673 1,296 219 480 1,865 678 7,212 0.102Note: (1) Specific heat values are listed in Section 4.1.

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AR EVA Page: 35 of 565.2.2 Effective Thermal Conductivity A 22.86" long slice of 32PHB basket is created by selecting the nodes and elements of thebasket from the finite element model described in Section 5.1 to calculate the effective thermalconductivities.

The slice model is shown in Figure 5-8.AN AN32PHB Basket Slice Model32PHB Basket Slice ModelFigure 5-8 32PHB Basket Slice Models Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AREVA Page: 36 of 565.2.2.1 Axial Effective Thermal Conductivity To calculate the axial effective conductivity of the basket, constant temperature boundaryconditions are applied at the top and bottom of the slice model. No heat generation isconsidered for the fuel elements in this case. The axial effective conductivity is calculated usingequation (5.6) below.kbaketI "-- QwxL (5.6)A Asice x ATWhere: Qaxi = Amount of heat leaving the upper face of the slice model -reactionsolution 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 model1709.73 in2 (=7T/8 X Dbasket2),AT = (T2 -Ti) =Temperature difference between upper and lower faces of themodel (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.: 1A R EVA Page: 37 of 56Fixed Temperatures at basket upper nodesEffective Basket Conductivity in Axial Direction Fixed Temperatures at basket lower nodes(a) Boundary Condition

-Axial Effective Thermal Conductivity MY ELEMENTSHGEN RATESQMIN-0QMAX-. 3803890.042265.084531.126796169062.211327.__ 253593--- .295858.338124.380389Heat generation boundary conditions Fixed Temperatures atbasket outermost nodesEffective 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-281Form 3.2-1 Calculation No.: NUH32PHB-0403 A Calculation Cover Sheet Revision No.: iA R E VA Revision 8 Page: 1 of 56DCR NO (if applicable):

NUH32PHB-018 PROJECT NAME: NUHOMS 32PHB SystemPROJECT 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 SummaryThis 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 caskduring normal, off-normal, and accident operating conditions.

This calculation evaluates these conditions forthe bounding maximum heat load of 29.6 kW per DSC.2) Storage Media Description Secure network server initially, then redundant tape backupIf 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 reviewedand 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 10.0Calculation is complete:

Digitally signed by VENIGALLA VenkataDate: 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 HuiDate: 2015.03.03 14:47:25-05'00'Checker Name and Signature:

Hui Liu Date:Calculation is approved for use: PATEL Girisho=AREVA GROUP,2.5.4.45=T1 1D2D8D413995674D4.17FCF, cn=PATEL Girish2015.03.03 16:11:18

-05'00'Project Engineer Name and Signature:

Girish Patel Date:

AAREVACalculation Calculation No.: NUH32PHB-0403 Revision No.: 1Page: 2of56REVISION SUMMARYAFFECTED AFFECTEDDESCRIPTION PAGES Computational 1/0Initial Issue All AllThe temperature term T1 is corrected to T in 1,2, 7, 8, NoneTables 4-5 and 4-6 in response to RAI 6-11 12 and 13from NRC.

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AR EVA Page: 3 of 56TABLE OF CONTENTSPaqe1 .0 P u rp o s e .............................................................................................................................

62.0 References

........................................................................................................................

73.0 Assumptions and Conservatism

....................................................................................

94.0 Design Input ...........................................................................................

104.1 Thermal Properties of Materials

........................................................................

104.2 Design Criteria

...................................................................................................

145.0 Methodology

...................................................................................................................

155.1 32PHB DSC Model .............................................................................................

155.1.1 Heat Generation 205.1.2 Boundary Conditions for 32PHB DSC in the HSM-HB and CCNPP-FC TC 225.1.3 Effective Conductivity for Basket Components with Modified Thickness 245.1.4 Axial Decay Heat Profile for PWR Fuel Assemblies 285.2 Effective Thermal Properties of 32PHB Basket .................................................

325.2.1 Effective Density and Specific Heat 325.2.2 Effective Thermal Conductivity 356 .0 R e s u lts ............................................................................................................................

4 07 .0 C o n c lu s io n ......................................................................................................................

4 98.0 Listing of Com puter Files ..........................................................................................

52APPENDIX A Justification of Hot Gap Between Basket and DSC Shell ............................

55 Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AR EVA Page: 4 of 56LIST OF TABLESPageTable 4-1Table 4-2Table 4-3Table 4-4-Table 4-5Table 4-6Table 4-7Table 4-8Table 4-9Table 5-1Table 5-2Table 5-3Table 5-4Table 5-5Table 5-6Table 5-7Table 5-8Table 5-9Table 5-10Table 5-11Table 5-12Table 5-13Table 5-14Table 5-15Table 6-1Table 6-2Table 7-1Table 7-2Table 7-3Table 8-1Table 8-2Table 8-3Table 8-4Table 8-5Material Numbers in ANSYS Model for the 32PHB DSC ..............................

10Thermal Properties of Homogenized Fuel Assembly in Helium [8] ................

11SA 240/SA-479 Type 304 Stainless Steel Thermal Properties

[4, 9] .............

11Aluminum Alloys Thermal Properties

[4, 9] ....................................................

12Helium Thermal Conductivity

...............

........................................................

12A ir Therm al C onductivity

................................................................................

13Nitrogen Thermal Conductivity

[4, 12] ..........................................................

13Thermal Properties of Lead (ASTM B29) [4] ..................................................

14Maximum Fuel Cladding Temperature Limits for 32PHB DSC ThermalA na lyse s ......................................................................................................

..14Heat Generation Rates for 32PHB Basket ....................................................

2032PHB Basket Component Thicknesses

......................................................

24Effective Thermal Conductivities for 0.02" Al/Poison Contact Gap (Mat19/2 9 ) ........................................................................................................

..2 5Effective Thermal Properties for Guide Sleeve (Mat 31/32) ..........................

25Effective Thermal Properties for Basket Stainless Steel Plate (Mat 41/42) ....... 26Effective Thermal Properties for Al/Poison Plate (Mat 53/54) .......................

26Effective Thermal Properties for Basket Aluminum Plate (Mat 55/56) ...........

26Effective Thermal Properties for DSC-Rail Gap (Mat 72) ..............................

27Bounding Peaking Factors for 32PHB Fuel Assemblies

[2] ..........................

29Peaking Factors for Fuel Assemblies in the 32PHB DSC Model ..................

30Dimensions of Homogenized Baskets ..........................................................

32Effective Density for 32PHB Basket ............................................................

33Effective Specific Heat for 32PHB Basket ...................................................

34Effective Axial Conductivity for 32PHB Basket .............................................

38Effective Radial Conductivity for 32PHB Basket ...........................................

39Maximum 32PHB DSC Component Temperatures

......................................

40Average 32PHB DSC Component Temperatures

.........................................

41Maximum Fuel Cladding Temperatures for Storage and TransferC o nd itio ns ..................................................................................................

..4 9Maximum Basket Component Temperatures

...............................................

50Effective Thermal Properties for 32PHB Basket ...........................................

51Summary of ANSYS Runs .............................................................................

52List of Macro Files to Map DSC Shell Temperatures from 61 BTH DSC [11] ..... 52List of 32PHB DSC Geometry Generation Files ............................................

53Associated Files and Macros ........................................................................

53List of S preadsheets

....................................................................................

..54Table A-1Table A-2Average Temperatures at Hottest Cross Section for 32PHB DSC ...............

55Diametrical Hot Gap in 32PHB DSC .............................................................

56 AAREVACalculation Calculation No.: NUH32PHB-0403 Revision No.: 1Page: 5of56LIST OF FIGURESFigure 5-1Figure 5-2Figure 5-3Figure 5-4Figure 5-5Figure 5-6Figure 5-7Figure 5-8Figure 5-9Figure 6-1Figure 6-2Figure 6-3Figure 6-4Figure 6-5Figure 6-6Figure 6-7PageFinite Element Model of 32PHB DSC ..........................................................

1632PHB DSC Model -Cross Section .............................................................

1732PHB DSC Model -Gaps in the Basket ......................................................

1832PHB DSC Model-Axial Gaps at DSC Ends .............................................

19Heat Load Zoning Configuration (HLZC) for 32PHB DSC with 29.6 kWH e at Lo ad ....................................................................................................

..2 1Typical Boundary Conditions for 32PHB DSC ...............................................

23Peaking Factor Curve for PWR Fuels ...........................................................

3032PHB Basket Slice M odels ........................................................................

35Typical Boundary Conditions for Basket Slice Model ...................................

37Location of 32PHB Basket Rails ....................................................................

42Temperature Plots for 32PHB DSC (Normal Storage @ 0°F, 29.6 kW) ..... 43Temperature Plots for 32PHB DSC (Off-Normal Storage @ 1040F, 29.6k W ) ............................................

........................................................................

4 4Temperature Plots for 32PHB DSC (Block Vent @ 40 Hour, 29.6 kW) ..... 45Temperature Plots for 32PHB DSC (Off-Normal

Transfer, 1040F @ 20H our, 29 .6 kW ) ..........................................................................................

..46Temperature Plots for 32PHB DSC (Vertical

Transfer, 100°F @ 20 Hour,2 9 .6 kW ) ......................................................................................................

..4 7Temperature Plots for 32PHB DSC (Fire Accident

Transfer, 29.6 kW) ...... 48 Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AREVA Page: 6of561.0 PURPOSEThe 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 transfercask (TO) for normal, off-normal and accident conditions.

A maximum heat load of 29.6 kW perDSC 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.: 1AREVA Page: 7of5

62.0 REFERENCES

1 Updated Final Safety Analysis Report for the Standardized NUHOMS Horizontal ModularStorage System for Irradiated Nuclear Fuel, NUH-003, Rev. 11.2 CCNPP Demo DE1 0269, "Axial Burnup Distribution of VAP Assemblies with and withoutAxial 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 32PHBSystem 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 theNUHOMS -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",

3rd Edition, 1998.13 Report, "Topical Report on Actinide-Only Burnup Credit for PWR Spent Fuel NuclearFuel Packages",

Office of Civilian Radioactive Waste Management, DOE/RW-0472, Revision 2, September 1998.14 Kreith, Frank, "Principles of Heat Transfer",

3rd Edition, 1973.15 ANSYS computer code and On-Line User's Manuals, Version 10.0.

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AR EVA Page: 8of5616 Calculation, "Thermal Evaluation of NUHOMS 32PHB Transfer Cask for Normal, OffNormal, and Accident Conditions",

Transnuclear, Inc., Calculation No. NUH32PHB-0402, Rev. 1.17 Calvert Cliffs Independent Spent Fuel Storage Installation Updated Safety AnalysisReport, Rev.17.

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AR EVA Page: 9of563.0 ASSUMPTIONS AND CONSERVATISM The assumptions and conservatism considered for 32PHB DSC model are the same as thoseassumed 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 withmaximum peaking factor of 1.101 [2].* Active fuel length for fuel assemblies (FA) is 136.7"and located at 6" from the bottom ofthe fuel assembly

[2]. The position of active fuel in the 32PHB DSC model is assumed7.0" from the bottom of the basket, which maximizes radial heat dissipation through theDSC shell to bound the maximum component temperatures conservatively.

0.30" diametrical hot gap between the shield plugs and the DSC inner surface.

This gapis 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 basketcomponent temperatures conservatively by minimizing axial heat transfer through theDSC 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 theinner 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 thanthe 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 the32PHB 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 islarger than the contact gap tolerances and therefore conservative.

This contact gap ismodeled 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 cavitylength from [7]. This assumption conservatively increases thermal resistance betweenthe 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 tothe above conservative assumptions, small dimension differences between the modeling andnominal sizes have an insignificant effect on thermal analysis results in Section 6.0.Radial and axial effective conductivities for homogenized 32PHB basket are calculated basedon slice models of the baskets described in Section 5.2.

Calculation No.: NUH32PHB-0403 Revision No.: 1Page: 10of564.0 DESIGN INPUTA thickness of 0.125" and a conductivity of 130 W/m-K (=6.26 Btu/hr-in-°F) is considered for thepoison basket plates in this calculation.

This poison basket plate is considered to be paired with0.12" thick aluminum 1100 basket plate. The thermal conductivities for the pairedaluminum/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 fuelassemblies are discussed in Section 5.1.4.The effective properties of the 32PHB basket are calculated in Section 5.2. These properties areused in transient analysis.

Table 4-1 Material Numbers in ANSYS Model for the 32PHB DSCComponent Material MaterialHomogenized Fuel Assembly (137.6" Active Fuel Length) 1 Effective conductivity Solid Rails 3 Al 6061Top/Bottom Shielding 5 LeadCavity 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 304Axial gap gas between end cover plates (0.01" gap) 17 AirDSC-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.: 1AR EVA Page: 11 of 56Thermal 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 AxialTemperature Conductivity Conductivity Density Specific Heat(0F) (Btu/hr-in-OF)

(Btu/hr-in-°F)

(Ibm/in ) (Btu/Ibm-°F) 136.40 0.0202231.08 0.0237326.54 0.0277422.72 0.0324519.44 0.0378 0.0601 0.1308 0.0576616.70 0.0440714.48 0.0508812.62 0.0583911.07 0.06651009.76 0.0754Table 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 0.114100 8.7 0.114200 9.3 0.119300 9.8 0.122400 10.4 0.29 0.126500 10.9 0.128600 11.3 0.130700 11.8 0.132800 12.2 0.132900 12.7 0.1341000 13.2 0.136 Calculation No.: NUH32PHB-0403 Revision No.: 1Page: 12of56Table 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 0.213100 131.8 96.9 0.216 0.215150 130.0 98.0 0.219 0.218200 128.5 99.0 0.222 0.221 0.098250 127.3 99.8 0.224 0.223300 126.2 100.6 0.227 0.226350 125.3 101.3 0.229 0.228400 124.5 101.9 0.232 0.230Table 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 0.0072400 0.1795 260 0.0086500 0.2115 440 0.0102600 0.2466 620 0.0119800 0.3073 980 0.01481000 0.3622 1340 0.01741050 0.3757 1430 0.0181The above data are calculated based on the following polynomial functionfrom [12].k = IC, T' for conductivity in (W/m-K) and T in (K)For 300 < T < 500 K for 500< T < 1050 KCO -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.: 1AR EVA Page: 13 of 56Table 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 0.0011300 0.02607 80 0.0013400 0.03304 260 0.0016500 0.03948 440 0.0019600 0.04557 620 0.0022800 0.05698 980 0.00271000 0.06721 1340 0.0032The above data are calculated based on the following polynomial functionfrom [12].k = C,T' for conductivity in (W/m-K) and T in (K)For 250 < T < 1050 KCo -2.2765010E-03 Ci 1.2598485E-04 C2 -1.4815235E-07 C3 1.7355064E-1 0C4. -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-03300 1.64E-03400 1.80E-03500 1.95E-03600 2.1OE-03700 2.24E-03800 2.37E-03900 2.50E-031000 2.63E-031100 2.75E-03 Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AR EVA Page: 14 of 56Table 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 0.0299250 -10 0.411 1.733 0.0303300 80 0.409 1.700 0.0308400 260 0.406 1.637 0.0315500 440 0.402 1.579 0.0327600 620 0.398 1.512 0.03394.2 Design CriteriaMaximum 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 DSCThermal AnalysesOperating Condition Ambient Temperature (F)[4 Fuel Cladding Limit (OF)Cold *' ] Hot 1 [3]Normal -8 104 752Storage Off-Normal

-8 104 1058Accident (Blocked Vent) -8 104 1058Transfer Normal/Off-Normal

-8 104 752Accident (Fire) n/a 104 1058Within Fuel Building]

DSC in Vertical TC (w/o 00(2)(1) ,water in DSC/TC annulus) 100() 752Notes:(1) Operations within fuel building when DSC is located in the TC in vertical orientation areconsidered normal conditions.

(2) An average ambient temperature within fuel building

[4].(3) Ambient air temperatures ranging from -8 to 1040F are conservative compared to theambient 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.: 1AR EVA Page: 15 of 565.0 METHODOLOGY Thermal evaluations for 32PHB DSC in the HSM-HB are performed based on a finite elementmodel using ANSYS computer code [15]. This model is described in the following sections.

5.1 32PHB DSC ModelA half-symmetric, three-dimensional finite element model of 32PHB DSC (DSC shell andbasket) 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 SOLID70elements are used in the 32PHB DSC model.The geometry of the 32PHB DSC model and its mesh density are shown in Figure 5-1 throughFigure 5-4.The sensitivity of mesh density on temperature distribution of the NUHOMS-32P DSCcomponents is investigated in [6]. The results shows that the maximum fuel claddingtemperature change is within 1IF for 14x14 fine mesh density compared to the coarse meshdensities between 5x5 and 6x6. Hence, a mesh density of 14x14 in the 32PHB DSC model isreasonable and acceptable.

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AR EVA Page: 16of56Canister Length -173.5"Cavity Length -159.5"Basket Length -157.8"Antiva FuAl I Annth .137 A"Lead CasingLeadShielding Lead Casing Shell Bottom Cover Plate DSC Shell Al RailTop CoverPlateLead CasingTop PlatetoeadShielding Lead CasingSide Plate0.25" SS Plate Inner Cover PlateMesh DensityFigure 5-1 Finite Element Model of 32PHB DSC Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AR EVA Page: 17 of 56Al Basket Plate,90-270 Orientation SGuide Sleeve,90-270 Orientation X0BA Plate, 0-180 Orientation

~~~~~~Helium Contact Gap,90-170 Orientationas e Plt Lo sMesh DensityFigure 5-2 32PHB DSC Model- rSection Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AREVA Page: 18of56DSC Shellm /Al Rail/ Diametrical Gap,/(0.30" in the Model)Homogenized Fuel AssemblyRail Edge Space53 53Contact Gap(0.02" in the Model)Figure 5-3 32PHB DSC Model -Gaps in the Basket AAREVACalculation Calculation No.: NUH32PHB-0403 Revision No.: 1Page: 19 of 560.01" Axial Gap betweenBottom End Plates0.2" Axial Gap between Basket Bottomand Bottom Cover Plate0.30" Diametrical Gap between Bottom Shielding and DSC Shell(a) DSC Bottom End Plates0.01" Axial Gap between DSC Top End PlatesI "1.5" Axial Gap between Basket Top and Inner Cover Plate 0.30" Diametrical Gap betweenTop Shielding and DSC Shell(b) DSC Top End PlatesFigure 5-4 32PHB DSC Model- Axial Gaps at DSC Ends Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AR EVA Page: 20 of 565.1.1 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)Whereq = 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 BasketHeat Generation RateHeat Load in the Model Btu/hr-in 3(kW) PF=1.0 (Base) PF=1.101 (Maximum) 1.0 0.345 0.3800.8 0.276 0.304The base heat generation rate is multiplied by peaking factors along the axial fuel length torepresent the axial decay heat profile.

The peaking factors from [2] are converted to match theregions defined for the fuel assembly in the finite element model. Section 5.1.4 describes theconversion 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 onthe heat load zone configuration (HLZC) for the 32PHB DSC. Figure 5-5 shows the HLZC withmaximum heat load of 29.6 kW.

Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AR EVA Page: 21 of 5633 3 2 2 3 33 223 3Heat Zone Level No of FA kW/FA Total1 4 0.8 3.22 8 1.0 8.03 12 1.0 12.04 8 0.8 6.4Total Heat Load, kW 29.6Figure 5-5 Heat Load Zoning Configuration (HLZC) for 32PHB DSCwith 29.6 kW Heat Load Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AR EVA Page: 22 of 565.1.2 Boundary Conditions for 32PHB DSC in the HSM-HB and CCNPP-FC TCThe HSM-HB to be used for the 32PHB system is the same as the HSM-H described in theUFSAR for standardized NUHOMS system [1]. The HSM-H is used to store a 61 BTH DSC (witha maximum DSC length of 195.8", DSC diameter of 67.25") [11], which has the similar designfeature as the 32PHB DSC. The outer diameter of 32PHB DSC is 67.25" and the maximumDSC length is 176.5" that is slightly shorter than the 61 BTH DSC length of 195.8" considered inthe HSM-H model for 61 BTH DSC [11]. Because the heat load of 31.2 kW and basket length of164"are considered in the HSM-H model, the decay heat flux applied in the 61 BTH DSC innershell in the HSM-H model is slightly higher than that applied in the 32PHB DSC with a maximumheat 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-Hmodel with 61 BTH DSC in [11] can be used for thermal analysis of 32PHB DSC under storageconditions.

The DSC shell temperatures for the 31.2 kW heat load in the HSM-H Model provided in [11] areused to map the surface temperatures for 32PHB DSC shell surface temperature via the relatedmacro files listed in Section 8.0, Table 8-2. The DSC shell temperatures based on normalambient 0°F, off-normal ambient 1170F (average 1050F) and accident blocked vent (40 hours4.62963e-4 days 0.0111 hours 6.613757e-5 weeks 1.522e-5 months )from the HSM-H model in [i1] are design basis DSC shell temperatures for 32PHB DSC storageconditions.

The differences in ambient temperatures between 61 BTH and 32PHB DSCs understorage conditions are minor and have insignificant effects on thermal evaluation of 32PHBDSC.The 32PHB DSC shell temperatures for normal, off-normal, and accident transfer operations areretrieved 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.: 1AR EVA Page: 23 of 56AELEMENTS HGEN RATESQMIN-0QMAX-. 380389T EMP,0.042265.084531.126796i .169062.211327J.253593[-- 295858.338124.380389AN ELEMENTSHGEN RATESAN ELEMENTS QMIN-. 304035HGEN RATES QMX-. 380389QMIN-.044223

.3025QMAX-.380389 321003.044223 .329486.081575 .346454.l118927 MN .354938.156279 1 .371905S.19363 10 .380389.230982.ZI 268334EJ 305686.343037:380389 MEU..U.Figure 5-6 Typical Boundary Conditions for 32PHB DSC Calculation No.: NUH32PHB-0403 Calculation Revision No.: 1AR EVA Page: 24 of 565.1.3 Effective Conductivity for Basket Components with Modified Thickness The effective conductivities of basket components used in the analysis are determined based onmodified thicknesses as summarized in Table 5-2.Table 5-2 32PHB Basket Component Thicknesses Components Thickness, inchModel Nominal ANSYS Material No(tiodel)

(tl~esian)

AI/Poison Contact Gap 0.02 0.01 19, 29Guide Sleeve 0.1674 0.1874 31,32Basket SS Plate 0.1874 0.25 41,42Al/Poison Plate 0.1874 0.245 53, 54Basket All 100 Plate 0.1874 0.25 55, 56DSC-Rail Diametrical Gap 0.30 0.27 72The effective thermal conductivities for the basket components in 32PHB DSC model arecalculated as follows:k parallel x tDesignk. -... ,,_ ~ sgk eff,across Wheret Modelk across X t Modelt 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+ tpkAI/Poison, across -tIA + tpp =7.77 Btu/hr-in-°F tAl / kA, + tPP / kPPAlong the plane (parallel resistance),

Across the thickness (serial resistance)

Where= 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".

ML15075A341

Text

67.0 CONCLUSION

62.0 REFERENCES

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