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=Text=
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{{#Wiki_filter:..                     ..      .        -          -_ _
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i         <                                                                                                                                l i
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                                                                                                          ) * [* 2 6 Sandia National Laboratories       !
) * [* 2 6 Sandia National Laboratories i
i Albuqueteue, New Mexico 87185 September 2, 1986 I
Albuqueteue, New Mexico 87185 September 2, 1986 i
i l
Mr. M. Silberberg, Chief Accident Evaluation Branch Office of Nuclear Reactor Research U. S. Nuclear Regulatory Commission Washington, D. C. 20555 i
Mr. M. Silberberg, Chief Accident Evaluation Branch                                                                                                       !
Office of Nuclear Reactor Research                                                                                               '
U. S. Nuclear Regulatory Commission
;        Washington, D. C. 20555 i        


==Dear Mel,==
==Dear Mel,==
 
requested a short time ago that we in the CONTAIN code project Tim Lee l
l        Tim        Lee requested a short time ago that we in the CONTAIN code project cpply the newly-developed Direct Containment Heating (DCH) models in the CONTAIN         code to the sequoyah ice condenser plant in a sensitivity study
cpply the newly-developed Direct Containment Heating (DCH) models in the CONTAIN code to the sequoyah ice condenser plant in a sensitivity study for Appendix J of NUREG-1150.
<          for Appendix J of NUREG-1150. In view                                           in of the high priority assigned by view of the rapidly disappearing NRC to these issue                       papers,                         and j
In view of the high priority assigned by NRC to these issue
window of time                   before     the         deadline               for NUREG-1150,       we have devoted an intensive effort.since then to producing the letter report which we are i
: papers, and in view of the rapidly disappearing i
now transmitting to you.
window of time before the deadline for NUREG-1150, we have devoted an j
The      principal results We          of the think      study     these  areresults givenarein Table   2 and extremely        Figure 3and important      of the      letter report.
intensive effort.since then to producing the letter report which we are now transmitting to you.
also        quite interesting. It should be kept in mind, of course, that this study is different from the simpler analyses of DCH in Surry performed for the CLWG and reviewed in the current draft of Section J.5 of NUREG-1150;       in particular, the calculations are not intended to be bounding.
principal results of the study are given in Table 2 and Figure 3 of The letter report.
.!          In fact,             all parameters in the calculation except the two sensitivity parameters             and the     amount of pre-existing hydrogen in containment (see to have values which were our best-estimates; the i          below)        were chosen                                                                    guide     for'many of these BMI-2104         Sequoyah TMLB'                      was                our principal l
We think these results are extremely important and the quite interesting. It should be kept in mind, of course, that this also study is different from the simpler analyses of DCH in Surry performed the CLWG and reviewed in the current draft of Section J.5 of NUREG-for 1150; in particular, the calculations are not intended to be bounding.
!          choices. Thus, while the pressures                       Surry shown CLWG in Figure 3 are lower than for calculations, it should not be the worst              cases      in    the concluded that the DCH problem is worse for Surry than for Sequoyah.
In
l Naturally, the details of these results are dependent on the choices uncertain           parameters                           and   assumptions about accident
: fact, all parameters in the calculation except the two sensitivity parameters and the amount of pre-existing hydrogen in containment (see i
;          made        for a number of qualitative conclusions emerge from progression.                However, have rather broad applicability.
below) were chosen to have values which were our best-estimates; the Sequoyah TMLB' was our principal guide for'many of these l
this study which we believe will                                                                                        This r First, it is clear that the dominant metal reaction is with steam.
BMI-2104 choices.
is a consequence of the lack of oxygen in the environment of the debris l
Thus, while the pressures shown in Figure 3 are lower than for the worst cases in the Surry CLWG calculations, it should not be concluded that the DCH problem is worse for Surry than for Sequoyah.
l Naturally, the details of these results are dependent on the choices made for uncertain parameters and assumptions about accident progression.
: However, a number of qualitative conclusions emerge from which we believe will have rather broad applicability.
study this This r
it is clear that the dominant metal reaction is with steam.
First,a consequence of the lack of oxygen in the environment of the debris is l
particles early in their histories, and the high reaction rates.
particles early in their histories, and the high reaction rates.
Second, one cannot isolate           used the DCH phenomenon from hydrogen combustion.
one cannot isolate the DCH phenomenon from hydrogen combustion.
default combustion criteria, but thresholds,        it is highly In this         study,         we likely that they are inappropriate.                                                 Lower     combustion would probably not dramatically                                         change the likelihood of however,                                                                        However,   one feature which will be containment failure for                              Sequoyah.
: Second, used default combustion criteria, but it is highly In this
I l
: study, we likely that they are inappropriate.
8704150271 870408                                                                                                             i
Lower combustion thresholds,
,          PDR       NUREG                                                                                                               <
: however, would probably not dramatically change the likelihood of containment failure for Sequoyah.
1150 C                   PDR 2f       _
However, one feature which will be 8704150271 870408 i
PDR NUREG 1150 C PDR 2f


s
s s
                  .                                                                                                                                                                        s M. Silberberg                                                                                                                                                     September 2, 1966 c
M. Silberberg September 2, 1966 c
the location of the sharp censitive to the combustion                                                                 threshold                 is                                                                     i transition seen around 20%                                                         melt ejection in Figure 3.? This transition                                                               i is due to the onset of hydrogen combustion (i.e., no burns occur at melt                                                                                                                     j fractions below this point).                                                                           The location of the transition is also                                               '
censitive to the combustion threshold is the location of the sharp around 20% melt ejection in Figure 3.? This transition i
offected               by                 the                   presence     of                 hydrogen           in the containment just before vessel failure.                                                 In these         calculations,                             no pre-existing hydrogen was assumed (the hypothesis                                                     being                     that independently-powered                                           igniters or recombiners removed                                                 the     hydrogen                       and   corresponding                                     amount     of oxygen prior to vessel failure). We feel that our treatment of pre-existing              Non-zero                     pre-existing                                     hydrogen     would shift the transition to the left.
transition seen is due to the onset of hydrogen combustion (i.e., no burns occur at melt j
hydrogen. here is somewhat non-conservative, but we made this choice in order to have a cleaner sensitivity study,(i.e., we are not interested at present in the problem of combined steamcspike by                                                                                                        and     hydrogen SARRP    to beburns  in a major the absence of DCH--a scenario demonstrated concern by itself.)                                                                                                                                         /
fractions below this point).
A third conclusion is that the results are' auch less sensitive to assumptions about de-entrainmentdebris                                                                  (or trapping) than has been previously de-entrainment time, 0.3 and 10 thought.                        The                        two    choices        of ceconds,                   are,                             in my mind, reasonable estimates of the upper and lower bounds         of                   the                     plausible range for this parameter. But, as Figure 3 shows,         the differences in peak pressure are not great an                                                                                                          (though peak extremely temperatures                                           show       a   greater                     sensitivity.)                                     This           is important                             result,                       and     it has important implications                                                                     for model development                                     priorities, for experimental matrix                                                                               designs,     and   for assessment of plant geometry effects.                                                                                   For                 example,                 it would   suggest that the heuristic plant geometry categorization proposed by IDCOR may be less relevant than they suggest.
The location of the transition is also offected by the presence of hydrogen in the containment just before vessel failure.
The   study of DCH phenomena with CONTAIN will continue into the next fiscal year, of course,                                                     supported in part by the SASA and QUECLA projects.                             In           fact,     we   have   already                     developed and exercised an improved treatment of mass                                                and   heat         transfer               (to be described in a forthcoming paper at the ACS conference in Anaheim                                                                 However,in October), for the Sequoyah                    and are developing calculations a 4                    multi-size droplet field model.
In these calculations, no pre-existing hydrogen was assumed (the hypothesis being that independently-powered igniters or recombiners removed the hydrogen and corresponding amount of oxygen prior to vessel failure).
presented here, we applied the version of the model which was presented                                                                                                               The at the April 1986 meetings on DCH in Silver Spring and Bethesda.
Non-zero pre-existing hydrogen would shift the transition to the left.
reason for choosing this version is that the opportunity for peer review has taken place, and the code has been extensively exercised over the past    four                          months.                     Also,     it is the version of the model which was so successful                             in           semi-blind       post-test                       predictions of the DCH-1                                         experiments inclusion in a high-(cf. letter to T.                                                   Lee,   June                       4,   1986).                           For visibility document such as NUREG-1150, therefore, it seemed prudent to                                                                                                                   i use the older version, especially since our experience                                                                       would not give significantly with the improved       ;
We feel that our treatment of pre-existing is somewhat non-conservative, but we made this choice in hydrogen. here to have a cleaner sensitivity study,(i.e., we are not interested orderpresent in the problem of combined steamcspike and hydrogen burns in at the absence of DCH--a scenario demonstrated by SARRP to be a major concern by itself.)
to     believe                     that     they models            leads us different results for the cases considered here.
/
In  summary, the sensitivity study we have done in support of the NUREG-1150 issue paper on DCH must be considered only part of the story of the progress                                     this     rapidly                     evolving area, but it can serve an ongoing                                                        in j
A third conclusion is that the results are' auch less sensitive to assumptions about de-entrainment (or trapping) than has been previously thought.
  , , ----                  - . - - . . _ _ . , - _ . , - - - . . , , _ _ . ~ -
The two choices of debris de-entrainment time, 0.3 and 10
                                                                                                    . . , - - _ _ _ _ . _ .            .,.-_..-_.,..__.,._-.-_,,.__-_--__.n-...--.,-
: ceconds, are, in my mind, reasonable estimates of the upper and lower bounds of the plausible range for this parameter.
But, as Figure 3
: shows, the differences in peak pressure are not great (though peak temperatures show a
greater sensitivity.)
This is an extremely important
: result, and it has important implications for model development priorities, for experimental matrix
: designs, and for assessment of plant geometry effects.
For example, it would suggest that the heuristic plant geometry categorization proposed by IDCOR may be less relevant than they suggest.
The study of DCH phenomena with CONTAIN will continue into the next fiscal
: year, of
: course, supported in part by the SASA and QUECLA projects.
In fact, we have already developed and exercised an improved and heat transfer (to be described in a forthcoming of mass treatment paper at the ACS conference in Anaheim in October), and are developing a droplet field model.
However, for the Sequoyah calculations multi-size presented here, we applied the version of the model which was presented 4
at the April 1986 meetings on DCH in Silver Spring and Bethesda.
The reason for choosing this version is that the opportunity for peer review has taken place, and the code has been extensively exercised over the months.
: Also, it is the version of the model which was so past four successful in semi-blind post-test predictions of the DCH-1 experiments (cf.
letter to T.
: Lee, June 4,
1986).
For inclusion in a high-document such as NUREG-1150, therefore, it seemed prudent to visibility i
use the older version, especially since our experience with the improved models leads us to believe that they would not give significantly different results for the cases considered here.
summary, the sensitivity study we have done in support of the NUREG-In 1150 issue paper on DCH must be considered only part of the story of the ongoing progress in this rapidly evolving area, but it can serve an j
-. - -.. _ _., - _., - - -..,, _ _. ~ -
.,.-_..-_.,..__.,._-.-_,,.__-_--__.n-...--.,-


l      ~                                (
l
l
                                        /                                                      Ssptemb3r 2, 1986 M. Silberberg
(
(
(1-sg important purpose              in conveying the basics of our current understanding of the phenomena.                 We have a relatively high degree of confidence in these predictions (certainly more so than in the ultra-conservative CLwo calculation) and we feel that this work is suitable for inclusion in the issue paper.
l
~
/ Ssptemb3r 2, 1986 M. Silberberg
(
(1
-sg in conveying the basics of our current understanding important purpose of the phenomena.
We have a relatively high degree of confidence in these predictions (certainly more so than in the ultra-conservative CLwo calculation) and we feel that this work is suitable for inclusion in the issue paper.
Please let me know if you have any questions on this material.
Please let me know if you have any questions on this material.
Sincerely, J+
Sincerely, J+
Kenneth D. Bergeron, Supervisor Containment Modelling Divsion j ..
Kenneth D. Bergeron, Supervisor Containment Modelling Divsion j..
                                                " Direct   Containment                     Heating Analysis with the Encl.:    Letter        report CONTAIN Computer Code" V
Encl.:
cc: w/ encl:                                                                                                               h J. Mitchell, NRC/RES R. Meyer, NRC/RES P. Wood, NRC/RES T. Walker, NRC/RES F. Eltawila, NRC/NRR 11 6422 D. A. Powers 6422 W. W. Tarbell 6422 M. Pilch 6440 D. A. Dahlgren                                                                                                           ,
Letter report
6449 D. C. Williams                                                                                                           j 6449 D. E., Carroll 6449 J. L. Tills 6449 K. E. Washington 6449 File 3.7 l
" Direct Containment Heating Analysis with the CONTAIN Computer Code" V
cc: w/ encl:
h J. Mitchell, NRC/RES R. Meyer, NRC/RES P. Wood, NRC/RES T. Walker, NRC/RES F. Eltawila, NRC/NRR 11 6422 D. A. Powers 6422 W. W. Tarbell 6422 M. Pilch 6440 D. A. Dahlgren 6449 D. C. Williams j
6449 D.
E., Carroll 6449 J. L. Tills 6449 K. E. Washington 6449 File 3.7


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s Attachment to Latter from K. D. Bergeron to M. Silberberg, September '2,1986 Direct Containment Beating Analysis with the CONTAIN Computer _ Code
s Attachment to Latter from K. D. Bergeron to M. Silberberg, September '2,1986 y_
* y_
Direct Containment Beating Analysis with the CONTAIN Computer _ Code
K. D. Bergeron, D. E. Carroll, J. L. Tills
* K. D. Bergeron, D. E. Carroll, J. L. Tills
* K. E. Washington, and D. C. Williams i                                 Containment Modeling Division 6449
* K. E. Washington, and D. C. Williams i
[.                       Sandia National Laboratories
Containment Modeling Division 6449
                ' '                        Albuquerque, NM 87185 i
[.
: 1. Introduction The  phenomena of melt ejection, debris dispersal, c'nemical reactions and heat transfer between debris, water and gases which collectively contribute to the
Sandia National Laboratories Albuquerque, NM 87185 i
  !      Direct Containment Heating (DCH) phenomenon are extremely difficult 'to predict with confidence using existing calculational tools. An ongoing NRC research program is underway to study these processes experimentally, and it is expected that a significantly improved understanding             of DCH will' result from it is useful to analyze the these experiments.       However,       in the interim, problem    with the best calculational _ tools available in order to assess the important uncertainties and to be able to interpret the' results of the               experi-There are a ments as efficiently as possible when the data become available.
: 1. Introduction phenomena of melt ejection, debris dispersal, c'nemical reactions and heat The transfer between debris, water and gases which collectively contribute to the Direct Containment Heating (DCH) phenomenon are extremely difficult 'to predict with confidence using existing calculational tools. An ongoing NRC research program is underway to study these processes experimentally, and it is expected that a significantly improved understanding of DCH will' result from these experiments.
i        number of phenomena involved in direct heating (e.g. , debris transport through complicated pathways) for which there are virtually no verified or verifiable models; tother ~ phenomena are better understood (e.g. heat and mass transfer                 I from a suspended droplet) . A model which treats the highly uncertain class of phenomena parametrically, and the better understood phenomena with best-estimate models is therefore a reasonable goal for an interim calculational tool. This report describes an Interim Direct F*oting Model (IDRM) which has been developed as an module of the CONTAIN corrWtt code, and which is j          *This work supported by the United States Nuclear Regulatory Commission under FINS 1146,1198, and 1412 and performed at Sandia National Laboratories which is operated for the U.S. Department of Energy under Contract Number DE-AC04-
: However, in the interim, it is useful to analyze the with the best calculational _ tools available in order to assess the problem important uncertainties and to be able to interpret the' results of the experi-as efficiently as possible when the data become available.
-          76DP00789.                                                                         "
There are a ments number of phenomena involved in direct heating (e.g., debris transport through i
I
complicated pathways) for which there are virtually no verified or verifiable better understood (e.g. heat and mass transfer models; tother ~ phenomena are from a suspended droplet). A model which treats the highly uncertain class of phenomena parametrically, and the better understood phenomena with best-models is therefore a reasonable goal for an interim calculational estimate tool.
            *J. L. Tills and Associates, Albuquerque, NM
This report describes an Interim Direct F*oting Model (IDRM) which has been developed as an module of the CONTAIN corrWtt code, and which is work supported by the United States Nuclear Regulatory Commission under j
,                                                                                                       l
*This 1146,1198, and 1412 and performed at Sandia National Laboratories which FINS for the U.S. Department of Energy under Contract Number DE-AC04-is operated 76DP00789.
!                                                                                                        l
*J. L. Tills and Associates, Albuquerque, NM
,=
v r


_.      . . _ ~ - - -                         .        .      ..    .            ._ ._ ___      .-_
.. _ ~ - - -
f 2
2 f
intended to          provide an improved understanding of the uncertainties in the analysis of          accident sequences involving direct heating, and which can be of use in interpreting and guiding the DCH experiments. This model is then applied in a sensitivity study to the TM13' sequence at the Sequoyah ice condenser plant.
provide an improved understanding of the uncertainties in the intended to accident sequences involving direct heating, and which can be of analysis of use in interpreting and guiding the DCH experiments. This model is then applied in a sensitivity study to the TM13' sequence at the Sequoyah ice condenser plant.
: 2. Backaroundt, Previous DCH Calculations The uncertain aspects of DCH limited early modeling efforts to relatively simple paremeter studies in which the mass and composition of the debris participatingarbitrary in the direct heating was simply assumed by the analyst.
: 2. Backaroundt, Previous DCH Calculations The uncertain aspects of DCH limited early modeling efforts to relatively simple paremeter studies in which the mass and composition of the debris in the direct heating was simply assumed by the analyst.
Similarly,                            assumptions were made concerning the degree of complete.
participatingarbitrary assumptions were made concerning the degree of complete.
ness of the oxidation of the metallic                       constituents of the debris with steam or oxygen in the atmosphere. In October, 1983, the direct heating question was raised at a meeting of the Containment Loads Working Group (CLWG) in reference to tHe Standard                    Problem No. 1 (SP-1), which was a THLB' sequence at a Zion-like plant.        In the         next CLWG meeting at Palo Alto in February, 1984, CONTAIN calculations of DCH for SP-1 and SP-2 were presented which                           Thewere  based energies   were   on assuming varying amounts of energy transmitted to the gas.on the specified composition of the calculated in side calculations based debris and varying degrees of debris participation in the process.
Similarly, ness of the oxidation of the metallic constituents of the debris with steam or oxygen in the atmosphere.
One deficiency of this calculational approach was that the equilibration of heat  between       the           debris and the gas was not explicitly taken into account, so that     the     sensitivity parameter was not the fraction of debris mass participating, but rather the fraction                         of the debris enthalpy transmitted to code, designated DHEAT, was developed which was the gas.         For this a new simpler than CONTAIN in many respects (e.g., heat transfer to and conduction l
In October, 1983, the direct heating question was raised at a meeting of the Containment Loads Working Group (CLWG) in reference Problem No. 1 (SP-1), which was a THLB' sequence at a Zion-to tHe Standard In the next CLWG meeting at Palo Alto in February, 1984, CONTAIN like plant.
in heat sinks                are neglected) but which explicitly equilibrated heat between debris and        gas, making it impossible for example to calculate a situation in           This code-which the gas was hotter than the debris at the end of the event.
calculations of DCH for SP-1 and SP-2 were presented which were based on The energies were assuming varying amounts of energy transmitted to the gas.on the specified composition of the in side calculations based calculated debris and varying degrees of debris participation in the process.
was used extensively for the DCH parameter studies used in the CLVG final report, NUREG-1079, which was published in draft-for-review form in the summer of 1985. However, DHEAT was                   it limited in a number of ways; it was restricted to neglected       heat transfer to sinks, it did not a , single control volume,the atmosphere during                         the chemical reactions, and it add         gas       to remove or the user to specify the fractions of participation of the debris, in required                     transfer and also in terms of oxidation. However, it had the terms of heatbeing                    extremely fast and well-suited to parameter studies.
of this calculational approach was that the equilibration of deficiency One between the debris and the gas was not explicitly taken into account, so heat that the sensitivity parameter was not the fraction of debris mass participating, but rather the fraction of the debris enthalpy transmitted to code, designated DHEAT, was developed which was this a new the gas.
The advantage of DHEAT code has been informally distributed to a number of participants in the Severe  Accident Risk Reduction Program (SARRP) containment event                     A tree paperexpertswhich l
ForCONTAIN in many respects (e.g., heat transfer to and conduction l
review  panel to assist in assessing the DCH problem for SARRP.CONTAIN a includes both and Design (K. D. Bergeron and D. C. Williams, EED. 22, 153, 1985.)
simpler than are neglected) but which explicitly equilibrated heat between in heat sinksgas, making it impossible for example to calculate a situation in debris and This code-gas was hotter than the debris at the end of the event.
Another model development effort which contributed to our understanding of DCH was due to M. Pilch, in support This                of the SPIT and HIPS experiment series which model followed the trajectory of a single were fielded in 1984 and 1985.           through      the   atmosphere under gravity. Unlike the debris droplet falling                     this calculation tracked the debris temperature and above, models described                   function of time, taking account of heat and mass transfer composition as a I
which the was used extensively for the DCH parameter studies used in the CLVG final report, NUREG-1079, which was published in draft-for-review form in the summer However, DHEAT was limited in a number of ways; it was restricted to of 1985.
it neglected heat transfer to sinks, it did not a, single control volume,the atmosphere during the chemical reactions, and it add gas to the user to specify the fractions of participation of the debris, in remove or required transfer and also in terms of oxidation. However, it had the terms of heat The being extremely fast and well-suited to parameter studies.
of code has been informally distributed to a number of participants in the advantage DHEAT Accident Risk Reduction Program (SARRP) containment event tree experts A paper which Severe panel to assist in assessing the DCH problem for SARRP.CONTAIN a l
review includes both and Design (K. D. Bergeron and D. C. Williams, EED. 22, 153, 1985.)
Another model development effort which contributed to our understanding of DCH to M. Pilch, in support of the SPIT and HIPS experiment series which This model followed the trajectory of a single was due were fielded in 1984 and 1985.
the atmosphere under gravity. Unlike the through debris droplet falling this calculation tracked the debris temperature and
: above, models described function of time, taking account of heat and mass transfer composition as a I
l l
l l


1 i
. i limitations in the gas boundary layer surrounding the droplet. Atmosphere temperature and pressure was simultaneously tracked for a self-consistent calculation based on the simple picture of a field of droplets falling through single volume containment. This model and a number of the atmosphere of a sensitivity studies using it are presented in NUREG/CR-4051, SAND 85-2435.
limitations in the gas boundary layer surrounding the droplet. Atmosphere temperature and pressure was simultaneously tracked for a self-consistent calculation based on the simple picture of a field of droplets falling through                                         ;
In February,1986, L. Baker of Argonne National Laboratories presented a paper Diego ANS/ ENS meeting on direct heating modeling.
the atmosphere of a        single volume containment. This model and a number of sensitivity studies using it are presented in NUREG/CR-4051, SAND 85-2435.
This was an at the San extension of the Baker-Just model for metal droplet oxidation which had been for LMFBR applications in the 60's.
In February,1986, L. Baker of Argonne National Laboratories presented       Thisawas paper         an at the San Diego ANS/ ENS meeting on direct heating modeling.
Unlike other models discussed developedBaker's treatment explicitly considered liquid-side as well as gas-side
extension of the Baker-Just model for metal droplet oxidation which had been developed for LMFBR applications in the 60's. Unlike other models discussed here,    Baker's treatment explicitly considered liquid-side as well as gas-side diffusion limitation on chemical reaction rate of a droplet moving through a gas environment.
: here, diffusion limitation on chemical reaction rate of a droplet moving through a gas environment.
In another effort,    Corradini and his colleagues and students at University of Wisconsin have      developed   computational models for heat transfer and chemicalA reactions of debris suspended in the atmosphere in a code called DIRHEAT.
Corradini and his colleagues and students at University of In another effort,developed computational models for heat transfer and chemical Wisconsin have reactions of debris suspended in the atmosphere in a code called DIRHEAT.
variety    of parameter studies with this code have been performed, and in addition UW personnel have used it in conjunction with a suite of containment analysis codes (HECTR, KEDICI-M1, and CORCON) which were developed by Sandia for the NRC. The direct heating models and calculations were documented in two UW reports, designated UWRSR-34 and UWRSR-35.
A of parameter studies with this code have been performed, and in variety addition UW personnel have used it in conjunction with a suite of containment (HECTR, KEDICI-M1, and CORCON) which were developed by Sandia analysis codes The direct heating models and calculations were documented in for the NRC.
In November, 1985, the CONTAIN code project at Sandia National Laboratories was requested by the NRC to develop improved models to serve the purpose of interim issue resolution,       and also to assist in guiding or interpreting the experimental    data expected   in early 1986 from the Surtsey facility. It was decided to improve the existing models by including mechanistic heat transfer and chemical reactions, and by allowing multiple volumes, but with debris transport from volume to volume controlled by relatively simple parametric models. In the following sections the resulting model is described. The features of the new model reflect the influence of the earlier models described above.
two UW reports, designated UWRSR-34 and UWRSR-35.
A number of model development efforts have taken place concerning melt ejection from the vessel and the cavity. These include work done at Sandia, Argonne and University of Wisconsin. However, since the focus of the IDRM work which is the subject of this report is on mass and heat transfer, these models will not be described here.
In November, 1985, the CONTAIN code project at Sandia National Laboratories was requested by the NRC to develop improved models to serve the purpose of interim issue resolution, and also to assist in guiding or interpreting the data expected in early 1986 from the Surtsey facility.
!        3. Eescriction of CONTAIN and the Interim Direct Heatine Model There  are two aspects of the new calculational capabilities underThese  discussion:
It was experimental decided to improve the existing models by including mechanistic heat transfer and chemical reactions, and by allowing multiple volumes, but with debris volume controlled by relatively simple parametric transport from volume to models.
will be standard CONTAIN models and the new features of the IDHM.                 Also to be briefly discussed below, with no attempt at completeness.
In the following sections the resulting model is described.
discussed are verification calculations done to compare the new models against earlier calculational tools. Finally, we will flag a number of modeling uncertainties of which the reader should be aware in order to put calcula-tional results in the proper perspective.
The features of the new model reflect the influence of the earlier models described above.
l i
A number of model development efforts have taken place concerning melt ejection from the vessel and the cavity. These include work done at Sandia, University of Wisconsin. However, since the focus of the IDRM Argonne and work which is the subject of this report is on mass and heat transfer, these models will not be described here.
l l
: 3. Eescriction of CONTAIN and the Interim Direct Heatine Model are two aspects of the new calculational capabilities under discussion:
l
There standard CONTAIN models and the new features of the IDHM.
These will be briefly discussed below, with no attempt at completeness.
Also to be discussed are verification calculations done to compare the new models against earlier calculational tools.
Finally, we will flag a number of modeling uncertainties of which the reader should be aware in order to put calcula-tional results in the proper perspective.
i l


4-3.1   Relevant CONTAIN Models CONTAIN is a system-level best-estimate containment analysis code specifically accident containment phenomena. Figure 1 designed for analysis of severe       the phenomena modeled for a typical LVR problem.
4-3.1 Relevant CONTAIN Models CONTAIN is a system-level best-estimate containment analysis code specifically accident containment phenomena. Figure 1 designed for analysis of severe the phenomena modeled for a typical LVR problem.
illustrates schematically CONTAIN models can be found in the CONTAIN User's Manual, so Details of the only a brief description of the standard features which will be utilized in typical direct heating calculations will           so if be the presented appropriate keywc*;d    here. Alldoes of the     not CONTAIN models are keyword-enabled, appear in the input deck, the model is not activated. Thus, for many direct heating calculations, it would be unnecessary to activate the CONTAIN models fission product decay and transport, debris-concrete for aerosol physics,                                                  The features which would interactions, and a number of other features.
schematically illustrates CONTAIN models can be found in the CONTAIN User's Manual, so Details of the only a brief description of the standard features which will be utilized in typical direct heating calculations will be presented here. All of the CONTAIN models are keyword-enabled, so if the appropriate keywc*;d does not the input deck, the model is not activated. Thus, for many direct appear in it would be unnecessary to activate the CONTAIN models heating calculations, for aerosol physics, fission product decay and transport, debris-concrete interactions, and a number of other features.
ordinarily be used include the following:
The features which would ordinarily be used include the following:
: a. Intercell flow. CONTAIN uses a control volume approach to gas transport, treating each specified volume or cell as a well-mixed repository of the gases. Flow between cells occurs via an orifice flow correlation when a flow path of a given cross-sectional                   area and friction coefficient is specified between the cells. Arbitrary interconnections between cells are allowed. An arbitrary number of computational cells is allowed.
a.
: b. Two-phase gas-steam-water thermodynamics. A realistic equation of    state for two-phase water and a variety of non-condensible gases is solved at    every   time step to give the pressure and temperature of each computational cell based on the internal energy and masses of the constituent gases.
Intercell flow. CONTAIN uses a control volume approach to gas each specified volume or cell as a well-mixed repository transport, treating Flow between cells occurs via an orifice flow correlation when of the gases.
: c. Heat transfer to structures. Each cell can have an arbitrary Heat transfer occurs n==her of heat transfer structures inside the volume.
a flow path of a given cross-sectional area and friction coefficient is specified between the cells.
via convection, condensation (including evaporation), and radiation betweer.
Arbitrary interconnections between cells are allowed. An arbitrary number of computational cells is allowed.
the     gas and the structure         surfaces. Gas-structure radiation heat transfer sophisticated model for the emissivity of steam and utilizes a reasonably condensation model is applicable to both saturated and carbon dioxide. The                               Each structure can be represented as a superheated atmospheric conditions.
b.
planar slab, a half-cylinder, or a half-sphere, and it can be composed of an arbitrary number of layers             of materials (e.g. steel, concrete, gas). Each the user through input, and the one-dimensional heat by layer is nodalized is solved to obtain the temperature at each point in the conduction equation 4
Two-phase gas-steam-water thermodynamics. A realistic equation state for two-phase water and a variety of non-condensible gases is solved of every time step to give the pressure and temperature of each computational at cell based on the internal energy and masses of the constituent gases.
material. A condensate film is allowed to collect at the structure surface reaches a user-controlled depth, at which point the excess runs off until it and is added to the water pool, if one is specified for that cell.
c.
: d. Hydrogen combustion. The hydrogen burn model is taken from the EECTR code, which was developed at Sandia for the analysis             Unless burns     of containment have been problems involving hydrogen transport and combustion.it is assumed that an ignition source is f                                                    '
Heat transfer to structures. Each cell can have an arbitrary n==her of heat transfer structures inside the volume.
explicitly inactivated through input,the concentrations of hydrogen, oxygen, and always present, and that whena burn occurs. Propagation from cell to cell steam are in a certain envelope, will take place depending on whether certain other concentration criteria are satisfied. All burns are treated as deflagrations occuring over a time period
Heat transfer occurs via convection, condensation (including evaporation), and radiation betweer.
the gas and the structure surfaces.
Gas-structure radiation heat transfer sophisticated model for the emissivity of steam and utilizes a reasonably condensation model is applicable to both saturated and carbon dioxide.
The conditions.
Each structure can be represented as a atmospheric superheated a half-cylinder, or a half-sphere, and it can be composed of an planar slab, arbitrary number of layers of materials (e.g. steel, concrete, gas). Each the user through input, and the one-dimensional heat by layer is nodalized is solved to obtain the temperature at each point in the conduction equation film is allowed to collect at the structure surface A condensate material.
reaches a user-controlled depth, at which point the excess runs off 4
until it and is added to the water pool, if one is specified for that cell.
d.
Hydrogen combustion. The hydrogen burn model is taken from the EECTR code, which was developed at Sandia for the analysis of containment Unless burns have been problems involving hydrogen transport and combustion.it is assumed that an ignition source isf explicitly inactivated through input,the concentrations of hydrogen, oxygen, and always present, and that whena burn occurs.
Propagation from cell to cell steam are in a certain envelope, take place depending on whether certain other concentration criteria are All burns are treated as deflagrations occuring over a time period will satisfied.


5-determined by the characteristic len5th of the cell sed a flame speed which is calculated from correlations.
5-determined by the characteristic len5th of the cell sed a flame speed which is calculated from correlations.
: e. Pool boiling.         If a water pool is specified for a given cell, and a debris layer is present below the pool, heat transfer between the debris and the water will occur, and if the pressure-dependent boiling temperature is reached, the pool will boil.
: e. Pool boiling.
: f.       Ice condenser.       The ice condenser model involves both thermal-
If a water pool is specified for a given cell, and a debris layer is present below the pool, heat transfer between the debris and and if the pressure-dependent boiling temperature is the water will occur, reached, the pool will boil.
      ' hydraulic and aerosol decontamination modeling, but since fission products are not of      primary interest in a typical direct heating calculation, we will not describe the scrubbing model. The ice is modelled as a surface held at the ice temperature which changes in area as the ice melts. Condensation heat transfer        is     modeled   between the atmosphere and the ice with a thin water film separating the two. Radiation heat transfer to the ice from the gas is also modeled. The melted ice exits the cell and is added to the pool of a user-at a user-specified temperature.                   Doors between the lower specified cell compartment            and the ice bed and between       the ice bed and   the upper containment   the can be modeled as being be              either one-way or two-way; in the latter case, different depending on which direction the flow effective flow area can occurs, Containment Sprays.             Like the ice condenser, sprays have g.
f.
important             effects   on   thermal-hydraulics as well as on radioisotope inventories, but the latter will not be discussed here. It is assumed in the spray model that all droplets exiting the spray nozzle are the same size, but that the size can change through evaporation or condensation as the drop falls.      The fall velocity is the terminal velocity. Heat transfer from the gas    to the droplet t. 'ces place via the same condensation model as is used for structures and for t..a ice condenser, except the Nusselt number used                             is that When the appropriate to a            sphere   moving   in     a gas at the terminal   velocity.
Ice condenser.
droplets reach the floor, they are added to that cell's water pool (or another cell's pool, if the user so specifies in input.)
The ice condenser model involves both thermal-
3.2   Direct Heatine Models                                                                           )
' hydraulic and aerosol decontamination modeling, but since fission products are primary interest in a typical direct heating calculation, we will not not of describe the scrubbing model. The ice is modelled as a surface held at the which changes in area as the ice melts. Condensation heat temperature ice is modeled between the atmosphere and the ice with a thin water film transfer Radiation heat transfer to the ice from the gas is also separating the two.
l The  principal          modification is that a new field has been added to the code.
modeled. The melted ice exits the cell and is added to the pool of a user-at a user-specified temperature.
The   debris field is like the gas in that each cell is a well-mixed repository of the debris mass and its energy. However, the debris mass in each cell is assumed to be composed of a large number                           of spherical droplets having                         ,
Doors between the lower specified cell and the ice bed and between the ice bed and the upper containment compartment the being either one-way or two-way; in the latter case, can be modeled as be different depending on which direction the flow effective flow area can
identical composition and temperature. A realistic debris equation of state is solved at each time step to give the debris temperature in each cell. There are five debris constituents allowed: Zr, Zr0 ,2Fe , Feo, and UO2 '
: occurs, g.
The debris flows with the gas in a dispersed droplet mode; that is to say, debris is transported from one cell to the next with the gas in proportion                       Suchto a the mass of debris and gas present in the donor cell at each timestep.                 In the cavity model is sometimes referred to as a homogeneous flow model.
Containment Sprays.
area,    this approach can be justified by the fact that gas velocities are so high that droplets which impinge on surfaces are quickly resuspended in the i
Like the ice condenser, sprays have important effects on thermal-hydraulics as well as on radioisotope inventories, but the latter will not be discussed here.
It is assumed in the model that all droplets exiting the spray nozzle are the same size, but spray that the size can change through evaporation or condensation as the drop The fall velocity is the terminal velocity. Heat transfer from the falls.to the droplet t. 'ces place via the same condensation model as is used for for t..a ice condenser, except the Nusselt number used is that gas structures and When the sphere moving in a gas at the terminal velocity.
appropriate to a droplets reach the floor, they are added to that cell's water pool (or another cell's pool, if the user so specifies in input.)
3.2 Direct Heatine Models
)
modification is that a new field has been added to the code.
principal The debris field is like the gas in that each cell is a well-mixed repository The However, the debris mass in each cell is of the debris mass and its energy.
assumed to be composed of a large number of spherical droplets having A realistic debris equation of state identical composition and temperature.
is solved at each time step to give the debris temperature in each cell. There are five debris constituents allowed: Zr, Zr0, Fe, Feo, and UO '
2 2
flows with the gas in a dispersed droplet mode; that is to say, The debris is transported from one cell to the next with the gas in proportion to debris Such a the mass of debris and gas present in the donor cell at each timestep.
model is sometimes referred to as a homogeneous flow model.
In the cavity can be justified by the fact that gas velocities are so
: area, this approach which impinge on surfaces are quickly resuspended in the high that droplets i
i
i


i gas stream and fragment down to about the maximum Weber-stable radius.
i gas stream and fragment down to about the maximum Weber-stable radius.
However,               in the model, the droplet diameter, Dd . 18 8pecified in input and This picture of debris transport does not change throughout the calculation.of the critical Kutateladze velocity is
: However, in the model, the droplet diameter, D. 18 8pecified in input and d
;              at gas velocities wellthe                      in HIPSexcess experiments, and simulant fluid experiments
This picture of debris transport does not change throughout the calculation.of the critical Kutateladze velocity is at gas velocities well in excess
_ justified by theory, conducted at Brookhaven.
_ justified by theory, the HIPS experiments, and simulant fluid experiments conducted at Brookhaven.
However, as gas velocities drop, it is to be expected that                                                           This      some     is analogous    de-entrainment                       to the will occur                that is not followed         by   re-entrainment.
However, as gas velocities drop, it is to be expected that some de-entrainment This is analogous to the that is not followed by re-entrainment.
transition from dispersed droplet flow to annular flow in two-phase flow in pipes.              However,     so little is known about the flow patterns under these conditions in the complex geometries and large scales of reactor containments that it is not possible to develop reasonable mechanistic models of two-phase flow for                the situation under consideration, especially when the material is an unknown mixture of eutectic, metal and oxides at an unknown temperature.                                                                                                                   a user-Therefore, the process of de-entrainment is treated parametrically:
will occur transition from dispersed droplet flow to annular flow in two-phase flow in
specified removal rate, f, is assigned to each cell, and in each second, that fraction of the cell's debris content is assumed to be removed from the atmosphere and deposited in a debris layer at the bottom of the                                                                                                     The      cell   remaining(if the debris layer has been enabled for that cell in the input deck).
: However, so little is known about the flow patterns under these in the complex geometries and large scales of reactor containments pipes.
suspended debris isof the              transported, without slip, with the gas to downstream cells.              The mass                      debris contributes to the inertia of the gas if the acceleration term                in the         flow equation is important. The mass and energy of debris entering a                cell is added to that cell's debris field, resulting in a new debris temperature and a new composition.
conditions it is not possible to develop reasonable mechanistic models of two-phase the situation under consideration, especially when the material is that flow for of eutectic, metal and oxides at an unknown temperature.
Heat transfer occurs between the debris and the gas via convection and radiation. A convection heat transfer coefficient is calculated based on a Reynolds correlation         for cell for          turbulent i relative    to the          flowgas    over specified  a sphere,                         by with       the user.              a droplet     The velocity,             v,g Nusselt number is the same as used by Pilch in NUREG/CR-4053, and is given by:
an unknown mixture process of de-entrainment is treated parametrically:
l                                                                                                                                  (1)
a user-the Therefore, removal rate, f, is assigned to each cell, and in each second, that specified cell's debris content is assumed to be removed from the fraction of thedeposited in a debris layer at the bottom of the cell (if the atmosphere and The remaining debris layer has been enabled for that cell in the input deck).
!                                        Nu - 2.0 + 0.6 (Re /2)(Pr /3)                                                                                                                                                             )
transported, without slip, with the gas to downstream suspended debris isof the debris contributes to the inertia of the gas if the cells.
The use of a I                  where non-zero              is the Reynolds Re relative                      number and Pr is the Prandt1 number.
The mass in the flow equation is important. The mass and energy of acceleration term cell is added to that cell's debris field, resulting in a debris entering a new debris temperature and a new composition.
velocity of the droplets is not necessarily inconsistent                                                                                                                       ~
Heat transfer occurs between the debris and the gas via convection and heat transfer coefficient is calculated based on a radiation.
A convection Reynolds correlation for turbulent flow over a sphere, with a droplet
: velocity, v,
for cell i relative to the gas specified by the user. The g
Nusselt number is the same as used by Pilch in NUREG/CR-4053, and is given by:
Nu - 2.0 + 0.6 (Re /2)(Pr /3)
(1) l
)
The use of a the Reynolds number and Pr is the Prandt1 number.
I where Re is non-zero relative velocity of the droplets is not necessarily inconsistent
~
with the zero-slip assumption when it is realized that the debris field consists of a collection of particles moving in random directions superimposed on an overall drift equal to the gas velocity.
with the zero-slip assumption when it is realized that the debris field consists of a collection of particles moving in random directions superimposed on an overall drift equal to the gas velocity.
the I                  Two models for radiation heat transfer from the droplets are available:       In the gray gas model, radiation heat l                  gray gas model and the clear gas model.between the debris and a gray, non-transmitting transfer occurs                                A multiplier,                 a,         is provided to reduce the heat transmission assumed.                                                          g transfer to to the gas from the black body value. This multiplier can be
the radiation heat transfer from the droplets are available:
'                  considered                  be the product of the debris and gas emissivities and any other reduction or enhancement factors which might come into play in gas-debris                                                                                                                                     l l
I Two models for In the gray gas model, radiation heat gray gas model and the clear gas model.between the debris and a gray, non-transmitting l
l i                                                                                                                                                                                                                                  l l
transmission assumed.
l
A multiplier, a,
_ , . - _          ,.    . _ _ _ . . _                - _ _ _ _ _ - _ , ~ _ _ _ _ _ _ _ _ _ , , _ _ . - _ _ _ - _ _ . . , - _ , , , , - . _ . . , , ,
is provided to reduce the heat transfer occurs g
the gas from the black body value. This multiplier can be to be the product of the debris and gas emissivities and any other transfer to reduction or enhancement factors which might come into play in gas-debris considered i
l l
- _ _ _ _ _ - _, ~ _ _ _ _ _ _ _ _ _,, _ _. - _ _ _ - _ _.., - _,,,, -. _..,,,


radiation heat transfer.         With the multiplier equal to 1, this model will probably over-estimate heat transfer to the gas.
. radiation heat transfer.
The clear gas model assumes the gas is transparent to debris radiation and that the debris radiates to heat sink surfaces without attenuation. The maximum interfacial area for this heat transfer is the structure surface area, but a multiplier, o ,, is provided to reduce this area in order to account for the possibility that not all of the structure area can "see" the debris plume, or to account for non-unity emissivity, etc. With this multiplier equal to one, the clear gas model will underestimate heat transfer to the gas from the debris.                                                                                                                 4 Chemical reactions can take place at the surface of the droplets if they contain oxidizable metal. The metal oxidation reactions allowed are performed in a hierarchical fashion in the following order:
With the multiplier equal to 1, this model will probably over-estimate heat transfer to the gas.
(1.) Zr + O 2         ------->      Zr0 2 (2.) 2 Fe + O 2     ------->      2 Fe0 (3.)   Zr + 2 H 2O    ------->
The clear gas model assumes the gas is transparent to debris radiation and that the debris radiates to heat sink surfaces without attenuation. The maximum interfacial area for this heat transfer is the structure surface area, a multiplier, o,, is provided to reduce this area in order to account for but the possibility that not all of the structure area can "see" the debris plume, or to account for non-unity emissivity, etc. With this multiplier equal to one, the clear gas model will underestimate heat transfer to the gas from the debris.
Zr02+2H2 (4.) Fe + HO         ------->      Fe0 + H 2 2
4 Chemical reactions can take place at the surface of the droplets if they contain oxidizable metal. The metal oxidation reactions allowed are performed in a hierarchical fashion in the following order:
(5.) 2H+O           ------->      2HO2 2   2 The first four reactions are limited to (1.) the mass of metal in the droplet and/or (2.) the mass of oxygen or steam which can diffuse throught the boundary layer to the droplet surface from the bulk gas. The heat from these reactions is added to the droplet field energy. All mass inventories (debris and gas fields) are        appropriately updated in accordance with the extent of each reaction.
(1.) Zr + O Zr0 2
The fifth reaction is marked with an asterisk because it is differentThe only from hydrogen          the normal hydrogen combustion event discussed in Section 3.1.
2 (2.)
involved in this reaction is the by-product of reactions 3 and 4, and the oxygen mass,     if any, is taken from the bulk gas, rather than the quantity which can diffuse to the droplet surface. This reaction represents the result of diffusion of the hydrogen byproduct back to the bulk gas. It is assumed that the near-drop environment is so hot that hydrogen-oxygen recombination occurs without need of a flame or spark source. It is also assumed that the back-flow of hydrogen does not impede the diffusion of oxygen, a reasonable assumption given the high diffusivity of hydrogen, and the uncertainty in other aspects of the mass transport model. The heat from this reaction is j
2 Fe + O 2 Fe0 2
added to the bulk gas, not to the debris.
(3.)
1 i
Zr + 2 H O Zr02+2H2 2
i   - _ _ _
(4.) Fe + HO Fe0 + H 2
                                                              '~                               _ _ _ . _ , . _ _ _ , _ _
2 (5.)
                                                                    --
2H+O 2HO 2
* e  *7-_.,_-___,m_
2 2
The first four reactions are limited to (1.) the mass of metal in the droplet and/or (2.)
the mass of oxygen or steam which can diffuse throught the boundary layer to the droplet surface from the bulk gas. The heat from these reactions is added to the droplet field energy. All mass inventories (debris appropriately updated in accordance with the extent of and gas fields) are each reaction.
The fifth reaction is marked with an asterisk because it is different from the normal hydrogen combustion event discussed in Section 3.1.
The only hydrogen involved in this reaction is the by-product of reactions 3 and 4, and the oxygen mass, if any, is taken from the bulk gas, rather than the quantity which can diffuse to the droplet surface. This reaction represents the result of diffusion of the hydrogen byproduct back to the bulk gas.
It is assumed that the near-drop environment is so hot that hydrogen-oxygen recombination occurs without need of a flame or spark source.
It is also assumed that the back-flow of hydrogen does not impede the diffusion of oxygen, a reasonable assumption given the high diffusivity of hydrogen, and the uncertainty in other aspects of the mass transport model. The heat from this reaction is added to the bulk gas, not to the debris.
j 1
i i
'~
e
*7-_.,_-___,m_


l 8-Oxidation of UO 2 by oxygen is not treated in this model since there is evidence that it is not favored at the temperatures of interest, and since it The chemical reactions discussed above has   little significance are rate-limited       in onlyenergetically.
8-Oxidation of UO by oxygen is not treated in this model since there is 2
one way: diffusion of the              oxidizing gases through the It   is also possible that the gas boundary layer around each droplet.
and since it evidence that it is not favored at the temperatures of interest, The chemical reactions discussed above has little significance energetically. diffusion of the oxidizing gases through the are rate-limited in only one way:
reactions are limited by diffusion on the droplet side, either in the liquid phase or in a solid crust. Baker's ANS/ ENS paper was based on a particular model for the droplet-side diffusion limitation, for example. However,                   For example,there the is a great deal of uncertainty in how to model this process.
around each droplet.
solubility of the oxides in the metal phases must be considered. Also, one must consider the possibility of mixing inside the droplet due to internal circulation loops. For the present model, therefore,                     will droplet side limitations rely on two parametric are not modeled mechanistically;                       instead,   we features.           First, all reactions are shut off at a user-specified droplet temperature,         T,.       Second, multipliers on the diffusivity of the gases is available; these are designated a,x and a st fr xygen and steam diffusi-vities, respectively.               In a gross sense, reducing the diffusivity will limit the reaction in a way similar to the liquid side limit, though the dependence on droplet composition will not be the same.
It is also possible that the layer gas boundary limited by diffusion on the droplet side, either in the liquid reactions are or in a solid crust. Baker's ANS/ ENS paper was based on a particular phase model for the droplet-side diffusion limitation, for example. However, there For example, the is a great deal of uncertainty in how to model this process.
Mass transfer to the droplet is calculated with a mass transfer coefficient In other words the dimension-based on a heat transfer / mass transfer analogy.
solubility of the oxides in the metal phases must be considered. Also, one must consider the possibility of mixing inside the droplet due to internal For the present model, therefore, droplet side limitations circulation loops.
less      Sherwood       number,     Sh, is     calculated from a   correlation quite like that of the Nusselt correlation in Eq. 1, except the Frandel number is replaced by the Schmidt number:
will rely on two parametric are not modeled mechanistically; instead, we features.
(2)
First, all reactions are shut off at a user-specified droplet temperature, T,.
Second, multipliers on the diffusivity of the gases is and a fr xygen and steam diffusi-available; these are designated a,x st vities, respectively.
In a gross sense, reducing the diffusivity will limit the reaction in a way similar to the liquid side limit, though the dependence on droplet composition will not be the same.
the droplet is calculated with a mass transfer coefficient Mass transfer to In other words the dimension-based on a heat transfer / mass transfer analogy.
Sherwood number, Sh, is calculated from a correlation quite like that of less the Nusselt correlation in Eq. 1, except the Frandel number is replaced by the Schmidt number:
Sh - 2.0 + 0.6 (Re / )(Sc ! )
Sh - 2.0 + 0.6 (Re / )(Sc ! )
The area used for diffusion of oxygen and steam to the droplets is equal to the area of a single droplet times the total number of droplets in the cell.
(2) for diffusion of oxygen and steam to the droplets is equal to used The area of a single droplet times the total number of droplets in the cell.
Since this treatment does not properly account for the fact that at any given time there will actually be a distribution of particle compositions, some with unoxidized metal left and some without, this treatment may overestimate the reaction rates. Therefore, in a model variation, a multiplier on the area for diffusion is used which is based on an estimate of the fraction of debris particles which still have some metal left.
the areathis treatment does not properly account for the fact that at any given Since time there will actually be a distribution of particle compositions, some with unoxidized metal left and some without, this treatment may overestimate the reaction rates. Therefore, in a model variation, a multiplier on the area for diffusion is used which is based on an estimate of the fraction of debris particles which still have some metal left.
The Sch=idt nu=ber in Eq. (2) is given by E                                                                            (4)
The Sch=idt nu=ber in Eq. (2) is given by (4)
Sc -   pD where p is the gas viscosity, p is the gas density, and(Equ.                         D is 16.3-1, the binary  gas    '
E Sc -
: p. 505, diffusivity in air, given by Bird, Stewart and Lightfoot i
pD the gas viscosity, p is the gas density, and D is the binary gas where p is (Equ. 16.3-1, p. 505, diffusivity in air, given by Bird, Stewart and Lightfoot i


1960 edition). All gas properties are evaluated at conditions intermediate between the droplet and the bulk gas.
. 1960 edition).
exercise, a simple problem was defined which could be run As     a verification both on the Pilch model from NUREG/CR-4053, and on an improved version of DHEAT (which accounts for gas inventory changes due to chemical reactions).
All gas properties are evaluated at conditions intermediate between the droplet and the bulk gas.
The problem involved injecting debris consisting of four materials into an air environment at 10 m/s, and observing the pressure and temperature                     rises. No After thermal haat sinks were modeled, and no trapping             the CONTAINwas allowed.
exercise, a simple problem was defined which could be run As a verification both on the Pilch model from NUREG/CR-4053, and on an improved version of for gas inventory changes due to chemical reactions).
and DHEAT pressures and equilibration           had   been achieved, The Pilch model agreed within about 74 in temperatures agreed to within 0.34.                   the total number of moles of gas due to temperature, butMore        it does not adjust important,     since the Pilch model calculates droplet the reactions.         function of time, it is possible to compare the time required behavior as a for the droplet to reach its peak temperature. On this quantity, the Pilch model and CONTAIN agreed to within 10-154. Given the differences in the models, this was considered adequate verification.
DHEAT (which accounts The problem involved injecting debris consisting of four materials into an air No 10 m/s, and observing the pressure and temperature rises.
3.3 Modeline Uncertainties There are many uncertainties in modeling a process as complex                       and poorly It is important that understood      as the   melt-ejection   / direct heating problem.
environment at haat sinks were modeled, and no trapping was allowed.
the results of any calculations using this model be interpreted in the light of these uncertainties. (This is true of all direct heating calculations performed to date, though it is too often true that the uncertainties are paid little attention.) As indicated in the model descriptions, our basic strategy for dealing with these uncertainties is to provide adjustable parameters (defaulted to our best estimates) so that sensitivity studies can be performed through input.            Many of the limitations of the present model have been the   course of the model descriptions, but it is worth while to identified in                               In the list below, we identify a nuiber of the re-iterate some       of   them here.
After thermal equilibration had been achieved, the CONTAIN and DHEAT pressures and The Pilch model agreed within about 74 in temperatures agreed to within 0.34.
modeling or input uncertainties, and indicate what control the user has in varying    parameters to account for each uncertainty. Ongoing model development will alleviate many of the problems identified below.
the total number of moles of gas due to temperature, but it does not adjust More important, since the Pilch model calculates droplet the reactions.
Fraction of debris eieeted. This amount depends on the extent of core    melting   at the time of vessel failure, on the location   Very of   thecertainty little  break, andis possibly onon  thethese way the   hole in the vessel enlarges.Since the mass and composition of the ejec subjects.
function of time, it is possible to compare the time required behavior as a for the droplet to reach its peak temperature. On this quantity, the Pilch model and CONTAIN agreed to within 10-154. Given the differences in the models, this was considered adequate verification.
3.3 Modeline Uncertainties There are many uncertainties in modeling a process as complex and poorly as the melt-ejection / direct heating problem.
It is important that understood of any calculations using this model be interpreted in the light the results of these uncertainties.
(This is true of all direct heating calculations performed to date, though it is too often true that the uncertainties are paid little attention.) As indicated in the model descriptions, our basic strategy for dealing with these uncertainties is to provide adjustable parameters (defaulted to our best estimates) so that sensitivity studies can be performed Many of the limitations of the present model have been through input. the course of the model descriptions, but it is worth while to identified in In the list below, we identify a nuiber of the re-iterate some of them here.
or input uncertainties, and indicate what control the user has in modeling parameters to account for each uncertainty. Ongoing model development varying will alleviate many of the problems identified below.
Fraction of debris eieeted. This amount depends on the extent of melting at the time of vessel failure, on the location of the break, and Very little certainty is core possibly on the way the hole in the vessel enlarges.Since the mass and composition of the ejec on these subjects.
possible debris is specified as tabular input, this uncertainty is fully controlled by the user.
possible debris is specified as tabular input, this uncertainty is fully controlled by the user.
Droelet size.        The droplet size may be estimated on the basis of a Weber stability criterion, but smaller droplets are possible depending on the               if nature of the fragmentation processes, and larger droplets are possible local gas-debris relative              velocities are smaller than assumed in the Weber Therefore, the diameter itself is specified by the user.
The droplet size may be estimated on the basis of a Droelet size.
stability criterion, but smaller droplets are possible depending on the if nature of the fragmentation processes, and larger droplets are possible Weber velocities are smaller than assumed in the Weber relative local gas-debris Therefore, the diameter itself is specified by the user.
number calculation.
number calculation.
Debris transoort.        This uncertainty is possibly the most intractable in the problem.           One of the principal purposes of the Surtsey experiment series and the simulant fluid experiments at Brookhaven is to improve our l
This uncertainty is possibly the most intractable Debris transoort.
principal purposes of the Surtsey experiment in the problem.
One of the series and the simulant fluid experiments at Brookhaven is to improve our l
l
l
\
\\


g.....                 -.-
g.....
i             .
i i
i i                                                                                                             1 i
i #
understanding of the way debris-gas mixtures can be transported through
i
]
]
<                    complicated pathways and around obstacles. De-entrainment and isolation from the high velocity flow region is an important_ potential ILuitation on debris transport.     So is freezing on metal structures, although conduction limita-tions may prevent this process from being very efficient if the debris expulsion time is short. Freezing on concrete is a little more difficult to credit, since outgassing and/or spalling of the concrete will prevent the-debris from " sticking". The principal control the user has on this process is l
understanding of the way debris-gas mixtures can be transported through complicated pathways and around obstacles. De-entrainment and isolation from the high velocity flow region is an important_ potential ILuitation on debris transport.
the trapping fraction, which removes debris at a rate which is proportional to i
So is freezing on metal structures, although conduction limita-tions may prevent this process from being very efficient if the debris expulsion time is short. Freezing on concrete is a little more difficult to
the, amount of debris in the cell. The removed debris is deposited in the debris layer, and does not participate in continued direct heating.
: credit, since outgassing and/or spalling of the concrete will prevent the-debris from " sticking". The principal control the user has on this process is l
j                                 Heat transfer. There is some uncertainty concerning how effective the mixing between the gas and the debris plume might be. .The Nusselt                   l i
the trapping fraction, which removes debris at a rate which is proportional to the, amount of debris in the cell. The removed debris is deposited in the i
correlation in Eq. 1 assumes a mean droplet velocity relative to the flowing i
debris layer, and does not participate in continued direct heating.
gas which is quite arbitrary. Similarly, in the clear gas option radiation               l heat transfer is based on good optical contact between the walls and the
j Heat transfer.
:                    debris plume, and that the plume exterior is at essentially the same
There is some uncertainty concerning how effective i
!                    temperature as the bulk debris. To study that uncertainty, the user can l'
the mixing between the gas and the debris plume might be..The Nusselt Eq. 1 assumes a mean droplet velocity relative to the flowing i
sdjust the interfacial area. The gray gas model has no such problem, but it probably overestimates the heating of the gas and underestimates the heating On the other hand, the presence of copious quantities of l
correlation in gas which is quite arbitrary.
of the walls.
Similarly, in the clear gas option radiation heat transfer is based on good optical contact between the walls and the debris plume, and that the plume exterior is at essentially the same temperature as the bulk debris.
l aerosols and steam probably make the gray gas model more reasonable than the -          !
To study that uncertainty, the user can l
clear gas model.
sdjust the interfacial area. The gray gas model has no such problem, but it probably overestimates the heating of the gas and underestimates the heating of the walls.
i chemical reactions. The chemistry model is quite simple, and it is           ,
On the other hand, the presence of copious quantities of l
the actual processes going on would be far more complex. One
aerosols and steam probably make the gray gas model more reasonable than the clear gas model.
i chemical reactions. The chemistry model is quite simple, and it is
{
{
likely   that important assumption is the neglect of a limitation on diffusion on the liquid side of the droplet / atmosphere interface. A solid crust could inhibit I
that the actual processes going on would be far more complex.
oxidizing gas diffusion even more. To accomodate this uncertainty, the user has control of an overall multiplier on the diffusivity, which can be used as l
One likely important assumption is the neglect of a limitation on diffusion on the liquid side of the droplet / atmosphere interface.
i                   a surrogate for the liquid side limit. The temperature cutoff serves the                 l purpose of simulating the effects of the crust formation and freezing of a               l 1
A solid crust could inhibit gas diffusion even more. To accomodate this uncertainty, the user I
oxidizing control of an overall multiplier on the diffusivity, which can be used as l
has i
a surrogate for the liquid side limit. The temperature cutoff serves the purpose of simulating the effects of the crust formation and freezing of a 1
droplet, and the value of the cutoff temperature is available throught input
droplet, and the value of the cutoff temperature is available throught input
                                                                                                                ]
]
)                       to the user.
)
Flownath and control volume confiruration. As is always the case
to the user.
'                      with computational simulations, part of the model is the nodalization. Of particular concern is the possibility that the flow paths specified are i
Flownath and control volume confiruration. As is always the case with computational simulations, part of the model is the nodalization. Of i
incorrect after the melt ejection begins. For example, dynamic loading of the j
particular concern is the possibility that the flow paths specified are incorrect after the melt ejection begins. For example, dynamic loading of the boundaries' of the cavity region in Sequoyah could result in a failure which j
boundaries' of the cavity region in Sequoyah could result in a failure which would create a new flow path to different parts of the containment. The j
would create a new flow path to different parts of the containment. The j
analyst   can study such possibilities with alternate nodalizations and 2
analyst can study such possibilities with alternate nodalizations and flowpaths between cells which can only open when the pressure difference 2
flowpaths between cells which can only open     when (This      theis pressure option    a standarddifference CONTAIN exceeds a    number specified in the input.
number specified in the input.
I                       feature.)
(This option is a standard CONTAIN exceeds a I
i Effect of distribution of droelet nrocerties.             The well-mixed l                        assumption applied to the droplet field requires that material entering a cell be  mixed with the existing cell material, resulting in a new effective single l
feature.)
i drop properties (composition, temperature, etc.) In reality, the history of 1
Effect of distribution of droelet nrocerties.
i.
The well-mixed i
I
assumption applied to the droplet field requires that material entering a cell l
mixed with the existing cell material, resulting in a new effective single l
be i
drop properties (composition, temperature, etc.) In reality, the history of 1
i I


each droplet is different, and there will be a continuous distribution of properties. This difference may not be important for some processes, such as heat transfer,     since there may be good radiant heat exchange among the droplets, and the overall heat transfer rate may not be very sensitive to the width of~ the various distributions. It may be more important for chemical reactions, since all of the unreacted metal may reside in a relatively small number of droplets.         As discussed above, a model variation is available to take the latter effect into account in a simple way, but there is still a good deal of residual uncertainty associated with this problem.
. each droplet is different, and there will be a continuous distribution of properties.
Hydromen combustion.     In the chemistry model used, the hydrogen liberated by metal steam reactions on the surface of the suspended drops is assumed to recombine with the oxygen in the bulk. However, it is also possible that the pre-existing hydrogen may be ignited by the melt dispersal event. Conventional steam inerting criteria are probably irrelevant for this situation. A modification of CONTAIN has been developed to allow the user to modify the ignition criteria for the gas concentrations, but what is probably needed is an ignition criterion based on cell gas temperature or debris temperature, or some kind of average.       Such a capability for CONTAIN is under development.
This difference may not be important for some processes, such as heat transfer, since there may be good radiant heat exchange among the droplets, and the overall heat transfer rate may not be very sensitive to the width of~ the various distributions.
It may be more important for chemical reactions, since all of the unreacted metal may reside in a relatively small number of droplets.
As discussed above, a model variation is available to take the latter effect into account in a simple way, but there is still a good deal of residual uncertainty associated with this problem.
Hydromen combustion.
In the chemistry model used, the hydrogen liberated by metal steam reactions on the surface of the suspended drops is assumed to recombine with the oxygen in the bulk. However, it is also possible that the pre-existing hydrogen may be ignited by the melt dispersal Conventional steam inerting criteria are probably irrelevant for this event.
situation.
A modification of CONTAIN has been developed to allow the user to modify the ignition criteria for the gas concentrations, but what is probably needed is an ignition criterion based on cell gas temperature or debris temperature, or some kind of average.
Such a capability for CONTAIN is under development.
: 4. IDEM Calculations of the Beauovah Ice Condenser Plant Containment Resnonse to the TMLB' Station Blackout DCH Scenario.
: 4. IDEM Calculations of the Beauovah Ice Condenser Plant Containment Resnonse to the TMLB' Station Blackout DCH Scenario.
In this section, we will present direct Containment Heating calculations performed with the IDHM for the Sequoyah ice condenser plant ~. Before                       ,
In this section, we will present direct Containment Heating calculations performed with the IDHM for the Sequoyah ice condenser plant ~. Before discussing these calculations, functional differences between the Sequoyah containment and conventional large dry containment designs which may affect containment response to a DCH event are worth noting.
discussing these calculations, functional differences between the Sequoyah containment and conventional large dry containment designs which may affect containment response to a DCH event are worth noting. Sequoyah is a small containment with a failure pressure slightly above 4 bars. In comparison, large dry containments such as Surry typically have design pressures in the vicinity of 9 bars.       The relatively low failure pressure of Sequoyah is-primarily a consequence of the ability of the ice condenser to remove large                   ,
Sequoyah is a small containment with a failure pressure slightly above 4 bars.
quantities of blowdown steam, thereby dramatically reducing peak containment pressures in the design basis accident scenario (double-ended severance LOCA).               !
In comparison, large dry containments such as Surry typically have design pressures in the vicinity of 9 bars.
l In a DCH event, hydrogen burns fueled by copious amounts of ex-vessel hydrogen and other relevant DCH phenomena which are not greatly mitigated by the                      i I
The relatively low failure pressure of Sequoyah is-primarily a consequence of the ability of the ice condenser to remove large quantities of blowdown steam, thereby dramatically reducing peak containment pressures in the design basis accident scenario (double-ended severance LOCA).
presence of the ice condenser may give rise to a previously unforseen threat.
l In a DCH event, hydrogen burns fueled by copious amounts of ex-vessel hydrogen not greatly mitigated by the and other relevant DCH phenomena which are i
CONTAIN IDHM predictions of Sequoyah peak pressures in a TMLB' DCH scenario are therefore warranted.
I of the ice condenser may give rise to a previously unforseen threat.
4.1 Problem Descrintion The main objective of this study is to estimate peak containment pressure as a function of corium ejection fraction for the Sequoyah ice-condenser plant with the IDRM. The calculations      were performed using a-3 cell nodalization as shown in Figure     2. The standard 3 cell CONTAIN input deck for Sequoyah was supplemented by the required IDHM input parameters and corium source tables.
presence CONTAIN IDHM predictions of Sequoyah peak pressures in a TMLB' DCH scenario are therefore warranted.
4.1 Problem Descrintion The main objective of this study is to estimate peak containment pressure as a function of corium ejection fraction for the Sequoyah ice-condenser plant with performed using a-3 cell nodalization as the IDRM.
The calculations were shown in Figure 2.
The standard 3 cell CONTAIN input deck for Sequoyah was supplemented by the required IDHM input parameters and corium source tables.
Relevant IDRM options, corium source masses, vessel blowdown characteristics,
Relevant IDRM options, corium source masses, vessel blowdown characteristics,


4 and other user-selectable inputs chosen for the calculations are discussed below. This discussion will focus on those parameters most closely related to the modeling uncertainties outlined in section 3.3.                                                                                                                                                                                       l The results are presented as two separate sets of f
4 and other user-selectable inputs chosen for the calculations are discussed This discussion will focus on those parameters most closely related to below.
: s. De-entrainment.
the modeling uncertainties outlined in section 3.3.
calculations.                                The     first   set       of calculations were performed with a debris de-entrainment time (td ) for all three cells of 0.3 seconds. The debris de-entrainment tbne is defined as the inverse of the fractional trapping                                                                                                                                         The rate,                     f, g
f s.
De-entrainment.
The results are presented as two separate sets of The first set of calculations were performed with a debris de-calculations.
entrainment time (t ) for all three cells of 0.3 seconds. The debris de-d entrainment tbne is defined as the inverse of the fractional trapping The
: rate, f,
which governs the rate of debris removal from the atmosphere.
which governs the rate of debris removal from the atmosphere.
second set of calculations were done with a e of                                                                     d 10.0 seconds. These two values of t d are believed to provide practical upper and lower limits with regard to the effects of debris removal from the atmosphere via interaction with cell structures                                        (a process which is not modeled mechanistically in the IDHN).
g second set of calculations were done with a e of 10.0 seconds. These two d
: b. Corium            Composition.                        The debris content was taken to be that of the l
believed to provide practical upper and lower limits with values of t are d
TMLB' melt at                                  the time   of       RPV               failure for the Sequoyah plant as provided in BMI-2104 vol 4, Table 6.8.                                                     In       each         case the corium was assumed to enter the lower cavity at a steady rate over a 5 second period. The mass source rates:
effects of debris removal from the atmosphere via interaction regard to the (a process which is not modeled mechanistically in the with cell structures IDHN).
(in kg/sec) for the corium constituents in the 100% case were therefore                                                                                                                                                               j
The debris content was taken to be that of the Composition.
;                              20198 (UO ), 2360 (Zr), 3052 (Zr0                                                     2 ), and 9968 (Fe). All cases other than 1004 2
l b.
ejection consisted of uniformly scaled down corium masses with all other i
Corium the time of RPV failure for the Sequoyah plant as provided in TMLB' melt at BMI-2104 vol 4, Table 6.8.
parameters held constant.
In each case the corium was assumed to enter the The mass source rates lower cavity at a steady rate over a 5 second period.
:                                                    c.      In-Vessel Hydrogen. Based on the debris composition described above, the in-vessel zirconium-steam reaction was calculated to have liberated 496 kg
(in kg/sec) for the corium constituents in the 100% case were therefore 20198 (UO ), 2360 (Zr), 3052 (Zr0 ), and 9968 (Fe). All cases other than 1004 j
* l 2                               of hydrogen.                             One half of this hydrogen was assumed to recombine with atmospheric oxygen in the containment prior to RPV failure (This assumption could be justified by hypothesizing igniters or recombiners with independent power supplies). The remaining hydrogen was assumed to enter the containment with the blowdown steam. This treatment of the in-vessel hydrogen may be non-i
2 2
:                                  conservative; however, it separates the DCH problem from the more conventional
ejection consisted of uniformly scaled down corium masses with all other parameters held constant.
:                                  hydrogen burn problem which by itself is known to be a problem for ice condenser plants.                                Hydrogen burns fueled by hydrogen produced after vessel                                                                                                                           ,
i Hydrogen. Based on the debris composition described above, c.
;                                                                                                                                                                                                                                                                      l failure by the                              Zr-steam and Fe-steam chemical reactions were considered and i
In-Vessel the in-vessel zirconium-steam reaction was calculated to have liberated 496 kg
are shown below to be the major contributing factor to the DCH induced                                                                                                                                                             l
* l 2
{                                                                                                                                                                                                                                                                     l
of hydrogen.
:                                  pressure rise in the cases that predict containment failure.                                                                                                                                                                       ,
One half of this hydrogen was assumed to recombine with oxygen in the containment prior to RPV failure (This assumption atmosphericjustified by hypothesizing igniters or recombiners with independent could be i
The vessel steam / hydrogen blowdown was i                                                      d.      Blowdown Characteristics. 30 seconds following RPV. failure. The blowdown was
power supplies). The remaining hydrogen was assumed to enter the containment This treatment of the in-vessel hydrogen may be non-with the blowdown steam.
;                                    assumed to last forassumption                                                     of constant mass flow rate over.this 30 second modeled under the                                                   made           to account for a ramp at the beginning of the period. No attempt was blowdown nor a tail at the end of the blowdown. The total steam                                                                                                               3            mass of 39,652 kg was determined from the total primary system volume (373 m ) and the specific                volume of saturated steam at the failure conditions (T-578 K. P-15.6 MPa).              Therefore, the steam blowdown mass rate was 1322 kg per second.
conservative; however, it separates the DCH problem from the more conventional hydrogen burn problem which by itself is known to be a problem for ice Hydrogen burns fueled by hydrogen produced after vessel condenser plants.
l i
Zr-steam and Fe-steam chemical reactions were considered and i
failure by the are shown below to be the major contributing factor to the DCH induced
{
pressure rise in the cases that predict containment failure.
i d.
Blowdown Characteristics.
The vessel steam / hydrogen blowdown was 30 seconds following RPV. failure. The blowdown was assumed to last forassumption of constant mass flow rate over.this 30 second modeled under the made to account for a ramp at the beginning of the period.
No attempt was blowdown nor a tail at the end of the blowdown. The total steam mass of 3
39,652 kg was determined from the total primary system volume (373 m ) and the volume of saturated steam at the failure conditions (T-578 K. P-15.6 specificTherefore, the steam blowdown mass rate was 1322 kg per second.
l MPa).
i i
i i
i
?
?
  ,.,.7.-   ,____.y.   . ,  ---.--.---,..-.__.m,-               _ . . - - ,
,.,.7.-
                                                                                      ,,    ,.,,,____._.,_,,.,_,__my.
,____.y.
                                                                                                                                                        , - , -, , , , , , , ~ - , , , - . , _ - ~ , , - - , , , , , , - _ _ - , - - , , _ . - , , _ _ , , , _ , , . ,
---.--.---,..-.__.m,-
: e. User Selectable IDHM Input Parameters. As discussed in Section 3.3, several user selectable input parameters are provided to account for various i
,.,,,____._.,_,,.,_,__my.
direct containment heating modeling uncertainties. The parameters of primary                         l
y-%.,
: 1. The values chosen for the present           '
, -, -,,,,,,, ~ -,,, -., _ - ~,, - -,,,,,, - _ _ -, - -,, _. -,, _ _,,, _,,.
interest are those listed in Table calculations are now given. All calculations were performed assuming 0.5 mm i
 
drops (D d),     c nsistent with the Surtsey DCH-1 experimental results of debris mass median diameters.               The multiplier on oxygen diffusivity, o,g, and the were both assumed to be unity. The multiplier on steam diffusivity, o,g, chemical reaction cutoff temperature, T,, of the bulk debris field was assumed to be 1000 K.               Radiative exchange between drops and the' surroundings was treated under the gray-body model with a chosen effective drop emissivity of 0.8.     An opaque gas model was assumed in which all of the radiated energy was                 The deposited in the gas and none in cell structures (o                     g - 0.8, a ,- 0.0).
. e.
debris velocity relative to the gas, v , (used     g        in the evaluation of Re) was assumed to be 6 m/sec in each of the three cells. This velocity roughly                       In all corresponds to the terminal fall velocity of a 0.5 mm debris In                    drop.
User Selectable IDHM Input Parameters. As discussed in Section 3.3, selectable input parameters are provided to account for various i
this option calculations the hydrogen recombination option was used.
several user direct containment heating modeling uncertainties. The parameters of primary interest are those listed in Table 1.
hydrogen produced in a cell is assumed to immediately combine                     with bulk oxygen in that cell with the reaction energy going to the gas.                   Finally, the fraction of ice left at vessel failure, b, was assumed to be 0.8.
The values chosen for the present i
TABLE 1. Ilser Specified Parameters for IDHM r        Fraction of nominal core mass of debris ejected em a        Multiplier on black body radiation from debris to gas a,      Multiplier on radiation from debris to wall a,x      Multiplier on oxygen diffusivity a,e      Multiplier on steam diffusivity T,       Cutoff temperature for chemical reactions (K) vg        Cas-debris relative velocity in cell i (m/s) fg      Trapping parameter; fraction removed from cell i per second (s'1)
calculations are now given. All calculations were performed assuming 0.5 mm drops (D ),
D        Debris droplet diameter (m) d b        Fraction of initial ice left in ice condenser at vessel failure l
c nsistent with the Surtsey DCH-1 experimental results of debris d
l
mass median diameters.
The multiplier on oxygen diffusivity, o,g, and the were both assumed to be unity. The multiplier on steam diffusivity, o,g, chemical reaction cutoff temperature, T,, of the bulk debris field was assumed to be 1000 K.
Radiative exchange between drops and the' surroundings was the gray-body model with a chosen effective drop emissivity of treated under 0.8.
An opaque gas model was assumed in which all of the radiated energy was deposited in the gas and none in cell structures (o - 0.8, a,- 0.0).
The g
debris velocity relative to the gas, v, (used in the evaluation of Re) was g
assumed to be 6 m/sec in each of the three cells. This velocity roughly corresponds to the terminal fall velocity of a 0.5 mm debris drop.
In all calculations the hydrogen recombination option was used.
In this option hydrogen produced in a cell is assumed to immediately combine with bulk oxygen in that cell with the reaction energy going to the gas.
Finally, the fraction of ice left at vessel failure, b, was assumed to be 0.8.
TABLE 1. Ilser Specified Parameters for IDHM Fraction of nominal core mass of debris ejected rem Multiplier on black body radiation from debris to gas a
Multiplier on radiation from debris to wall a,
Multiplier on oxygen diffusivity a,x Multiplier on steam diffusivity a,e T,
Cutoff temperature for chemical reactions (K)
Cas-debris relative velocity in cell i (m/s) vg Trapping parameter; fraction removed from cell i per second (s'1) f g D
Debris droplet diameter (m) d Fraction of initial ice left in ice condenser at vessel failure b
l l


                'h.
'h.
14 I
14 I
I l
4.2 Discussion of Results CONTAIN predictions of peak pressure in Sequoyah as a function of corium ejection percent, r,,, are shown in Figure 3 for the two de-entrainment times discussed in Section 4.la.
l 4.2 Discussion of Results                                                                                                                               ,
For purposes of discussion, these curves will be divided into 3 separate regimes. The first regime is between 0 and 15 core percent for the t -10 case and 0 and 20 percent for the t -0.3 case. This d
CONTAIN predictions of peak pressure in Sequoyah as a function of corium ejection percent , r,,, are shown in Figure 3 for the two de-entrainment times discussed in Section 4.la. For purposes of discussion, these curves will be divided into 3 separate regimes. The first regime is between 0 and 15 core percent for the t -10                         d case and 0 and 20 percent for the t d-0.3 case. This regime is characterized by the sbsence of a hydrogen burn in the upper containment (cell 3). The resulting predicted peak pressures are high enough to threaten but not exceed the failure pressure. Note that at r,g-204, occurrence of a hydrogen burn in the upper compartment depends on the de-entrainment time. While the location of this threshold depends on td' I' I' seen that td has little impact on peak pressures before the burn threshold is
d hydrogen burn in the upper regime is characterized by the sbsence of a containment (cell 3).
:                  crossed.                             In the second region the peak pressure is primarily driven by the 1                   hydrogen burn process in the upper dome. Near the end of the second region, an interesting yet physically realistic behavior is predicted when tg-0.3.
The resulting predicted peak pressures are high enough to threaten but not exceed the failure pressure. Note that at r,g-204, occurrence of a hydrogen burn in the upper compartment depends on the de-entrainment time.
i                   That is, the peak pressure for a 404 corium ejection was predicted to be
While the location of this threshold depends on td' I' I' seen that t has little impact on peak pressures before the burn threshold is d
,                    higher than for a 50% corium ejection. Study of the detailed code output indicates that this behavior can be attributed to the fact that the hydrogen burn in the 50% case began at an earlier time than it did in the 40% case.
crossed.
The timing of the burn has this effect on the peak pressure because at early
In the second region the peak pressure is primarily driven by the 1
;                    times (immediately after debris ejection) the lower-cavity temperatures are considerably higher than at later times.                                                                     Due to subsequent cooling, the 4
hydrogen burn process in the upper dome. Near the end of the second region, an interesting yet physically realistic behavior is predicted when tg-0.3.
l lower-cavity can therefore serve                                              more                     efficiently as a " pressure-sink" for
i That is, the peak pressure for a 404 corium ejection was predicted to be higher than for a 50% corium ejection. Study of the detailed code output indicates that this behavior can be attributed to the fact that the hydrogen burn in the 50% case began at an earlier time than it did in the 40% case.
:                    early burns than it can for late burns. When t -10                                                           d this behavior is somewhat t
The timing of the burn has this effect on the peak pressure because at early times (immediately after debris ejection) the lower-cavity temperatures are l
overshadowed by the severity of the early burn. Note that this burn timing phenomenon does not have the same effect on the peak containment temperatures l                     which are monotonically increasing with core percent as shown in Table 2.
considerably higher than at later times.
l Beyond r,g-40% is the third regime of the curve. The peak pressures in this
Due to subsequent cooling, the more efficiently as a " pressure-sink" for 4
lower-cavity can therefore serve early burns than it can for late burns. When t -10 this behavior is somewhat d
t overshadowed by the severity of the early burn. Note that this burn timing l
phenomenon does not have the same effect on the peak containment temperatures l
which are monotonically increasing with core percent as shown in Table 2.
]
]
l regime for case 2 (td-10) diverge significantly from those of case 1 (tg-0.3).                                                                                           l This divergence is attributed to differing availabilities of hydrogen in the i                      upper                            dome at late times (near the end of and following the vessel blowdown).
Beyond r,g-40% is the third regime of the curve. The peak pressures in this l
i                     During debris ejection, the gas reaches the temperature of the debris for core ej ection fractions above 40 percent in both cases. Consequently, further                                                                                               ,
regime for case 2 (t -10) diverge significantly from those of case 1 (tg-0.3).
increase in the ejection debris mass cannot result in further heating of the                                                                                             l
d is attributed to differing availabilities of hydrogen in the divergence This dome at late times (near the end of and following the vessel blowdown).
upper i
During debris ejection, the gas reaches the temperature of the debris for core i
ej ection fractions above 40 percent in both cases. Consequently, further increase in the ejection debris mass cannot result in further heating of the
]
]
atmosphere during the debris ejection phase. Therefore, predicted peak                                                                                                   )
atmosphere during the debris ejection phase.
i pressures for cases above 40t core ejection will primarily depend upon the                                                                                               l amount of debris in the atmosphere after the debris ejection. Following the ejection, the gas temperature in the                                                       lower cavity drops in case 1 due to the rapid fall out of the debris. On the other hand, in case 2, considerable amounts of debris remain in the atmosphere following the ejection as a consequence of the slow fractional trapping rate. Since this debris is a reservoir of thermal energy incoming steam continues to be heated, which thereby increases the driving force that pushes hydrogen through the ice 1
Therefore, predicted peak
)
pressures for cases above 40t core ejection will primarily depend upon the i
amount of debris in the atmosphere after the debris ejection. Following the gas temperature in the lower cavity drops in case 1 due to the ejection, the rapid fall out of the debris.
On the other hand, in case 2, considerable amounts of debris remain in the atmosphere following the ejection as a consequence of the slow fractional trapping rate.
Since this debris is a reservoir of thermal energy incoming steam continues to be heated, which thereby increases the driving force that pushes hydrogen through the ice 1
l i
l i
i m ...-..-__       , _ , . , . _ _ _ _ , _ - . _.                  c _ _ _ - _      ..._.__._,_-..___,_.._,_,__._.~.._,m,.                              , . , _ _ _ _ _ , . _ . _ , _ .
i m...-..-__
c
..._.__._,_-..___,_.._,_,__._.~.._,m,.


i'                                                                                                   i 5
i' i 5
condenser and into the upper done.                                         In case 1 the peak pressure reaches a                                                                               j plateau beyond 404 core ejection as a result of a saturation of this driving                                                                                                                   r force.     That is, the amount of debris in the atmosphere following the debris                                                                                                               l ejection. phase is insufficient to further heat the vapor in the lower cavity.                                                                                                                 l
condenser and into the upper done.
                                                                                                                                                                                                                                    \
In case 1 the peak pressure reaches a j
plateau beyond 404 core ejection as a result of a saturation of this driving r
force.
That is, the amount of debris in the atmosphere following the debris ejection. phase is insufficient to further heat the vapor in the lower cavity.
\\
'l i
'l i
Table 2 CONTAIN Predictions of Peak Pressure and Temperature
Table 2 CONTAIN Predictions of Peak Pressure and Temperature in Sequoyah Containment for a TM13' DCH Scenario, I
;                                                      in Sequoyah Containment for a TM13' DCH Scenario, t =0.3                                                                     e -10.0 I
t =0.3 e -10.0 d
d                                                                            d Percent       Peak     Peak Temperature                                     Peak                         Peak Temperature j                                     Core     Pressure T(1) T(2) T(3)                                       Pressure                         T(1) T(2) T(3)
d Percent Peak Peak Temperature Peak Peak Temperature j
(K)                 (K)       (K)               (bars)                           (K)               (K)                 (K)
Core Pressure T(1) T(2) T(3)
,                                      (t)       (bars) 0         2.74     430                       438     394                 2.74                           430                   438           394 l                                     10       3.23       1254                     915     477                 3.32                           1456                   1035 504 15        -          -                        -        -                  3.58                           1647                   1154 548 20       3.61       1666                     1107     528                 5.81                           1816                   1235 1182 i                                       25       5.60       1803                     1172   1128               -                                -                      -              -
Pressure T(1) T(2) T(3)
30       6.21       1919                     1226   1177               .7.26                           2070                   1342 1317 35       6.86       2010                     1257     1247               -                                -                      -              -
(t)
40       7.18       2088                     1298     1280               7.36                             2246                   1417 1338 50       6.90       2217                     1351     1320               7.78                             2283                   1489 1415 l
(bars)
i                                        75       6.72       2387                     1478   1339               9.03                           252:                   1560 1663
(K)
!                                        100       6.95       2436                     1557   1408               10.55                           2865                   2066 2076 4,3 Conclusions i
(K)
There is no question that there are many complexities to the DCH j                                     problem, and 'that in many respects the simplifications inherent in the 4                                    IDHM modeling (and in other parts of the CONTAIN code) are inadequate
(K)
)                                     representations of the phenomena. Ultimately, we must depend on an improved experimental data base for improvements in some areas of our understanding.       However,                       in the meantime,                         the system-level analysis l
(bars)
which the CONTAIN code affords makes it possible to make the connection between the existing knowledge base and the operating reactor situation.                                                                                                                       ;
(K)
l                                     The uncertainties in our knowledge can, in many cases, be represented by t                                                                                                                                                                                                                                   '
(K)
The understanding
(K) 0 2.74 430 438 394 2.74 430 438 394 l
!                                    ranges of the user-specified input parameters.
10 3.23 1254 915 477 3.32 1456 1035 504 3.58 1647 1154 548 15 20 3.61 1666 1107 528 5.81 1816 1235 1182 i
thereby gained can help guide the experimental program and future model                                                                                                                       l development activities, as well as provide decision makers with interim l
25 5.60 1803 1172 1128 30 6.21 1919 1226 1177
assessments of the implications of DCH on reactor safety.
.7.26 2070 1342 1317 35 6.86 2010 1257 1247 40 7.18 2088 1298 1280 7.36 2246 1417 1338 l
Three important conclusions emerge from the sensitivity studies which have been described here. First, the most important metal oxidation l                                                                                                                                                                                                                                    ,
50 6.90 2217 1351 1320 7.78 2283 1489 1415 i
l                                                                                                                                                                                                                                    I i
75 6.72 2387 1478 1339 9.03 252:
1560 1663 100 6.95 2436 1557 1408 10.55 2865 2066 2076 4,3 Conclusions There is no question that there are many complexities to the DCH i
j problem, and 'that in many respects the simplifications inherent in the IDHM modeling (and in other parts of the CONTAIN code) are inadequate 4
)
representations of the phenomena.
Ultimately, we must depend on an improved experimental data base for improvements in some areas of our understanding.
: However, in the meantime, the system-level analysis l
which the CONTAIN code affords makes it possible to make the connection between the existing knowledge base and the operating reactor situation.
l The uncertainties in our knowledge can, in many cases, be represented by t
ranges of the user-specified input parameters.
The understanding thereby gained can help guide the experimental program and future model development activities, as well as provide decision makers with interim assessments of the implications of DCH on reactor safety.
l l
Three important conclusions emerge from the sensitivity studies which l
have been described here.
First, the most important metal oxidation i
t l
t l
l l
l l
l                                                                                                                                                                                                                                    l l
l
l


l 1
. 1 reaction is the steam metal reaction, a consequence of local oxygen starvation in the vicinity of the debris when it is first ejected, and of the rapid chemical reaction rates. A somewhat unexpected aspect of this issue is the importance of the iron / steam reaction, which in itself not particulary exothermic, and is usually limited under more normal is accident conditions by oxide crust formation, but which proceeds in these calculations because of high ambient gas temperatures.
reaction is the steam metal reaction, a consequence of local oxygen starvation in the vicinity of the debris when it is first ejected, and of the rapid chemical reaction rates. A somewhat unexpected aspect of this issue is the importance of the iron / steam reaction, which in itself is not particulary exothermic, and is usually limited under more normal accident conditions by oxide crust formation, but which proceeds in these calculations because of high ambient gas temperatures.
second conclusion concerns the importance of hydrogen combustion in The DCH scenarios. The quantities of hydrogen generated by these processes are extremely large, and the generation rates are unprecedented in safety analysis.
The                second conclusion concerns the importance of hydrogen combustion in DCH scenarios. The quantities of hydrogen generated by these processes are extremely large, and the generation rates are unprecedented in rasctor                                safety analysis. In ice-condenser plant, the pressure rise due to            debris-gas                           heat transfer is often not as large as the pressure rises from the subsequent hydrogen burns. Uncertainty about the mode of hydrogen combustion, and the various criteria for combustion, therefore, has become a major concern for DCH analysis.
In ice-condenser plant, the pressure rise due rasctor debris-gas heat transfer is often not as large as the pressure rises to from the subsequent hydrogen burns.
Finally,                                   the third important conclusion is that, for Sequoyah, the details of intermediate debris transport--de-entrainment, re-entrain-ment,                       sticking, bouncing, and so on--which have tended to dominate DCH discussions in the past, may be less important than we have previously believed.                                      Over a rather vide range of our debris de-entrainment time parameter, the sensitivity of peak pressure was not very large. This result is, of course, due to the importance of the hydrogen generation and combustion processes discussed in the previous two paragraphs.
Uncertainty about the mode of hydrogen combustion, and the various criteria for combustion, therefore, has become a major concern for DCH analysis.
While one cannot conclude that intermediate debris transport is unimpor-cant for this or any other plant, the reduced sensitivity to this aspect of the problem can have important implications for future research I                                                          activities and current assessments for regulatory applications.
: Finally, the third important conclusion is that, for Sequoyah, the details of intermediate debris transport--de-entrainment, re-entrain-
4 I
: ment, sticking, bouncing, and so on--which have tended to dominate DCH discussions in the past, may be less important than we have previously rather vide range of our debris de-entrainment time believed.
f 1
Over a parameter, the sensitivity of peak pressure was not very large. This of course, due to the importance of the hydrogen generation result is, and combustion processes discussed in the previous two paragraphs.
i l
While one cannot conclude that intermediate debris transport is unimpor-cant for this or any other plant, the reduced sensitivity to this aspect of the problem can have important implications for future research activities and current assessments for regulatory applications.
l
I 4
                                                                                                                                  .-._,_._._,,_.,._m.__-,_._,, _
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[ CONDENSATION EVAPORATION TWO PHASE THERMODYNAMICS                             Jh i
FEATURES i
AEROSOL EVOLUTION AND FLOW MYDROGEN SURN RADIOISOTOPE TRANSPORT AND DECAY a                                                 TERCRL FLOW i
[ CONDENSATION EVAPORATION J h TWO PHASE THERMODYNAMICS AEROSOL EVOLUTION AND FLOW i
MYDROGEN SURN RADIOISOTOPE TRANSPORT AND DECAY TERCRL a
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STRUCTURE HEAT TRANSFER
STRUCTURE HEAT TRANSFER
                                  / a - _-
/ a - _-
l 1
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i i
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i REACTOR CAYlTY                                       .
c._,_ _..-
'                                                                                                                      PHENOMENA i                                                                         \
i REACTOR CAYlTY PHENOMENA i
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FIGURE 1.
FIGURE 1.
i                                                SCHEMATIC DIAGRAM OF                                                                                                           \
SCHEMATIC DIAGRAM OF
PHENOMENA ANALYZED IN THE CONTAIN                                                                   .                      CODEA INDICATING  THE . CONT i
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I
PHENOMENA ANALYZED IN THE CONTAIN CODEA. CONT i
  ,--%y-   pe ,,-----w9-,,---v-,+             -__%-._w%,_,---,,,-,,__ym,.c                     - ,-,y,.y.-.                                 .,,-,w-,w--..,w.w=vy-e-ww,,ve
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2 2
  ~
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1 I                                                 1 Compartment Descriptors
1 I
: 1. Lower compartment
1 Compartment Descriptors 1.
: 2. Ice compartment
Lower compartment 2.
: 3. Upper compartment (Dome)
Ice compartment 3.
Figure 2. SCHEMATIC DIACRAM OF THE CONTAIN 3 0 ELL NODALIZATION OF THE SEQUOYAH ICE CONDENSER CONTAINMENT.
Upper compartment (Dome)
Figure 2.
SCHEMATIC DIACRAM OF THE CONTAIN 3 0 ELL NODALIZATION OF THE SEQUOYAH ICE CONDENSER CONTAINMENT.


I j                                                                                                                                         *      .
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l g
:                                      4.0 -                                                                                                   ..
3.0 ;
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l 1.0-i 0.0 i
2.0-i l                                     1.0-i 0.0             .
i 0.0 20.0 40.0 60.0 80.0 100.0 Percent Core Melt-Ejection 1
i                 .
l Figure 3.
i                                           0.0             20.0         40.0                       60.0               80.0       100.0
CONTAIN Prediction of Peak Pressure in Sequoyah Contaisument for a TMt.B' DCH Scenario. Results for 2 Values of Debris 4
!                                                              Percent Core Melt-Ejection 1
De-Entrainment Time, e I'**)' *** 8 d
l Figure 3. CONTAIN Prediction of Peak Pressure in Sequoyah Contaisument 4                                                  for a TMt.B' DCH Scenario. Results for 2 Values of Debris De-Entrainment Time, e                       *** 8 d I'**)'
i
i   . _ _ _ _ _ _ _ _ _ .                                                        - __


\                 .                                                                                              1 t).f,2l           l
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Sandia National Laboratories   j Albuquerque, New Mexico 87185 E                                                                                   September 26, 1986 I
~)
Dr. Thomas J. Walker NRC/RES                                                                                       ;
\\
i                    7915 Eastern Avenue                                                                           '
Sandia National Laboratories j
Silver Spring, MD 20910
Albuquerque, New Mexico 87185 E
September 26, 1986 I
Dr. Thomas J. Walker NRC/RES i
7915 Eastern Avenue Silver Spring, MD 20910


==Dear Dr. Walker,==
==Dear Dr. Walker,==
 
't you and I have discussed on the phone, we have just completed As a
't As you and I have     Direct discussed on the phone, we have just completed Containment Heating (DCH) calculations with a number          of the CONTAIN code as partwith                of our support for SASA, and this some of the highlights. Details letter will provide you                                                                 How-will appear, as you know, in a forthcoming NUREG report.
number of Direct Containment Heating (DCH) calculations with the CONTAIN code as part of our support for SASA, and this with some of the highlights.
Details letter will provide you you know, in a forthcoming NUREG report.
How-l will
: appear, asof the interest which Tim Lee and Farouk Eltawila
: ever, because have shown in this work in regard to their NUREG-ll50 issue l
: paper, we are providing this summary immediately, in the hopes i
that it will be of use right away.
t new work is an extension of the sensitivity study which Dave l
The Williams reported in his American Chemical Society conference
: paper, of which you have a copy.
What we have done is select a s
l number of his parameter variations for Surry and performed the on the sequoyah plant.
In addition, a few new i
same variations variations were performed for both Surry and Sequoyah.
parameter this way we can directly compare the plant specificity of the I
In modeling sensitivities.
The resulting matrix of calculations interesting insights on the DCH problem and provides some very d
adds to our growing understanding of the importance of different j
phenomena and plant characteristics.
representative result is shown in the attached Figure 1, which Ais the pressure-time history around the time of vessel breach for For this study, all the assumptions and parameter the Base Case.
choices described in Williams paper were also applied, so you can complete description of the conditions of the calculation get a
by referring to it.
Only plant-specific aspects changed; e.g.,
of corium ejected was scaled to the core size (but was 4
the mass still chosen to be 75%
of the core mass in the hase case).
Plant-specific parameter choices are described in my recent letter to Mel Silberberg (dated September 2, 1986).
Two options for hydrogen combustion modeling were exercised for These are burn model "a", which is the r
all parameter variations. ignition, completeness, and propagation default model for all criteria in CONTAIN (as taken from HECTR).
The alternative model "b"
is described in the paper as " prescribed burn".
In this starting two seconds afthr vessel i
hydrogen is burned,there is oxygen, regardless'of concentrations model all
: failure, whenever of steam, hydrogen, and oxygen in the cell.
As explained in the l
l
l
;-                   ever, because of the interest which Tim Lee and Farouk Eltawila have shown in this work in regard to their NUREG-ll50 issue we are providing this summary                immediately, in the hopes l
- 57enfomerg
i paper,
=
!                    that it will be of use right away.
'PP 1
t The    new work is an extension of the sensitivity study which Dave Williams reported in his American                    Chemical Society conference l
j i
s paper, of whichparameter    you have a copy.      What    we have done is select a number of his                            variations  for  Surry In and performed addition,    a few the new l
i                    same variations            on  the  sequoyah    plant.
  !                  parameter variations were performed for both Surry and Sequoyah.
In this way we can directly compare                    the plant specificity of the I
modeling sensitivities.                The resulting matrix of calculations provides some very interesting insights on the DCH problem and l
adds to our growing understanding of the importance of different d
l j                    phenomena and plant characteristics.                                                        1 A representative result is shown in the attached Figure 1, which is the pressure-time history around the time of vessel breach for the Base Case. For this study, all the assumptions and parameter choices described in Williams paper were also applied, so you can
:                      get a complete description        Only of the conditions of the calculation plant-specific    aspects changed; e.g.,
by    referring      to    it.
the mass of corium ejected was                  scaled to the core size (but was 4
still chosen to be 75%                  of  the  core mass in the hase case).
Plant-specific      parameter        choices    are      described in my recent letter to Mel Silberberg (dated September 2, 1986).
Two options for hydrogen combustion modeling were                            exercised for These are burn model "a", which is the              r all parameter default    model variations.
for all ignition, completeness, and propagation l
criteria in CONTAIN (as taken from            HECTR)      . The alternative        model paper  as  "  prescribed        burn". In this "b" is described in the                      starting two seconds afthr vessel            i model all hydrogen is burned,there is oxygen, regardless'of concentrations                l failure, whenever                                                As explained in the    l of steam, hydrogen, and oxygen in the cell.
l l
                                              =
              - 57enfomerg l
1
                                          'PP                                                                      j i


d Dr. Walker                                                                   September 26, 1986 paper, this model may be more reasonable than the default model because of the presence of hot gas and hot debris.                                           In any case, we feel the two choices "a"                                 and     "b" are bounding     on this impor-tant uncertainty.
d Dr. Walker September 26, 1986
The parameter variations are summarized in Table I. A total of 8 variations are reported there for each plant and each burn op-tion. Thus, with the base case, the total number of calculations o                is                   36. We   present only the peak pressure (P,,x) and the ratio P,,g/Pf, where Pf is the nominal failure pressure for each plant.
: paper, this model may be more reasonable than the default model because of the presence of hot gas and hot debris.
We arbitrarily selected the failure pressures to be 135 psia for Surry and 60                       psia   for Sequoyah, consistent with SARRP studies (though there                     is   a   lot of uncertainty about these numbers).
In any case, we feel the two choices "a" and "b" are bounding on this impor-tant uncertainty.
Details about                       other parameters (e.g. temperatures in different compartments) will be provided in the NUREG report, but this summary provides an at-a-glance picture of what the key uncer-tainties are.                       The extent of each parameter variation was l
The parameter variations are summarized in Table I.
selected somewhat arbitrarily as being within the range of 1                   uncertainty.                     These are not bounding ranges, in general. If one had uncertainty ranges on the parameters, it would be straight-forward to estimate resulting ranges in the peak pressure by linear extrapolation from the results in Table I.
A total of 8 variations are reported there for each plant and each burn op-tion.
                          ~
Thus, with the base case, the total number of calculations is 36.
In general, the results in the table are self-explanatory, but a few key issues should be noted. The debris de-entrainment times d used were t                                based on the scaling relation that Dave Williams used, but he described it in terms of a fractional trapping rate.
We present only the peak pressure (P,,x) and the ratio o
This is just the inverse of the de-entrainment time used in Table I.                   Our   approach   here   is         in contrast with the Sepoyah study reported                   in the above-mentioned letter to Mel, which used the
is the nominal failure pressure for each plant.
              . same                       t in each cell. Another important difference was that in i
P,,g/P, where Pf f
the earlier Sequoyah study, we did not include drop side limita-                                                             i i                      tions on mass transfer. However, this was shown by Dave not to                                                               i be of crucial importance in most cases. Finally, the earlier                                                                 l Sequoyah study had a different debris composition, being based on BMI-2104                 results,     rather than Containment Loads Working Group                                           j Standard                 Problem   2, which is the basis for the results reported l
We arbitrarily selected the failure pressures to be 135 psia for Surry and 60 psia for Sequoyah, consistent with SARRP studies (though there is a
in Table I.
lot of uncertainty about these numbers).
l Please let me know if you have any questions on this material.                                                               l 1
Details about other parameters (e.g. temperatures in different compartments) will be provided in the NUREG report, but this summary provides an at-a-glance picture of what the key uncer-tainties are.
Sincerely,                                                 i K~kv~~
The extent of each parameter variation was l
Kenneth D. Bergeron, Supervisor Containment Modeling         ,
selected somewhat arbitrarily as being within the range of 1
Division 6449 KDB:6449:mm l
uncertainty.
These are not bounding ranges, in general.
If one had uncertainty ranges on the parameters, it would be straight-forward to estimate resulting ranges in the peak pressure by linear extrapolation from the results in Table I.
~In general, the results in the table are self-explanatory, but a few key issues should be noted.
The debris de-entrainment times t
used were based on the scaling relation that Dave Williams d
used, but he described it in terms of a fractional trapping rate.
This is just the inverse of the de-entrainment time used in Table I.
Our approach here is in contrast with the Sepoyah study reported in the above-mentioned letter to Mel, which used the
. same t
in each cell.
Another important difference was that in d
i the earlier Sequoyah study, we did not include drop side limita-i tions on mass transfer.
However, this was shown by Dave not to i
i be of crucial importance in most cases.
Finally, the earlier Sequoyah study had a different debris composition, being based on BMI-2104
: results, rather than Containment Loads Working Group j
Standard Problem 2, which is the basis for the results reported in Table I.
Please let me know if you have any questions on this material.
Sincerely, i
K~kv~~
Kenneth D. Bergeron, Supervisor Containment Modeling Division 6449 KDB:6449:mm l
l l
l l
l j
j


J Dr. Walker                                                                                                                                                       September 26, 1986.
J Dr. Walker September 26, 1986.
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NRC/RES                                           T. Lee NRC/RES                                           P. Wood NRC/RES                                           J. Mitchell NRC/RES                                           R. Meyer NRC/NRR                                           F. Eltavila 6440                                             D. A. Dahlgren 6449                                             K. E. Washington                                                                                                                                                                     l 6449                                             D. C. Williams 6449                                               File 3.7 i
NRC/RES T. Lee NRC/RES P. Wood NRC/RES J. Mitchell NRC/RES R. Meyer NRC/NRR F. Eltavila 6440 D. A. Dahlgren 6449 K. E. Washington 6449 D. C. Williams 6449 File 3.7 i
S i
S i
l
l


Sequoyah Pressure History Predictions for TMLB' DCH Scenario with CONTAIN - IDHM (base case) 120.0 Default H-burn
Sequoyah Pressure History Predictions for TMLB' DCH Scenario with CONTAIN - IDHM (base case) 120.0 Default H-burn
                      --------- Continuous H-burn 100.0 -
--------- Continuous H-burn 100.0 -
                                                                          -                  . ~~~~~.
~ ~ ~ ~ ~.
3m
3 m
                                      ,m           -
,m p.,
p.,   80.0 -                 f l
80.0 -
0                           /
f l
U                     :
0
En                   :          _
/
l    @      60.0 -
U En l
u                  ./
60.0 -
O-.            .
./
u O-.
40.0 -
40.0 -
20.0             .
20.0 i
i   .
i i
i           .
9400.0 9410.0 9420.0 9430.0 9440.0 Time (sec)
i   .
9400.0                   9410.0     9420.0                       9430.0       9440.0 Time (sec)


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1 I
1 I
Surry DHEAT2 Calculations Without Blowdown Steam and no Stearn Spike 2400.0 16.0   -
Surry DHEAT2 Calculations Without Blowdown Steam and no Stearn Spike 2400.0 16.0 l
l n
n
* Pressure                                                                        ,... ~.. ,.
,... ~...
14.0   _
* Pressure 14.0 l
                          = Temperature l
= Temperature
                                                                                                      *.. ~ .. m--
*.. ~.. m-2000.0 q g
2000.0 q
v L
g                                                                                                                                                          v L 12.0   -
12.0 d
d                                                                                                                                                                      a)
a)
L CQ v                                                                                 ,.. -
L CQ g
g e 10.0   -
v 10.0 1600.0 a
1600.0 a L                                                                       .-                                                                                              d L
e d
U                                                               .-                                                                                                      q)
L L
    $  8.0     -
U q) a 8.0 C
                                                                '                                                                                                            a O
O L
                                                            ,                                                                                                              C L
L 1200.0 $
L CL 6.0     -                                    -
CL 6.0
                                                      ~
~
1200.0                                      $
d
d                                           -
~
                                                  ~
g
g
                                              #                                                                                                                              C
.6 CE
  .6                                       ~
~
E 4.0     -
E 4.0 800.0 2.0 0.0 /
800.0 2.0     -
400.0 i
0.0   /               .
i i
i i
i i
i 0.0 20.0 40.0 60.0 80.0 100.0 Percent Core Melt-Ejection 1
                                                                                                                .        400.0 0.0                             20.0               40.0                     60.0           80.0       100.0 Percent Core Melt-Ejection


Surry DHEAT2 Calculations With Blowdown Steam and no Steam Spike
Surry DHEAT2 Calculations With Blowdown Steam and no Steam Spike
                                                                                                      , 2400.0 16.0 -                                                                                    .
, 2400.0 16.0
* Pressure 14.0 -
* Pressure 14.0
                      = Temperature                                                               -
= Temperature 2000.0 2
2000.0
'W L
    'W                                                                                               n                          2 v
12.0 n
12.0   -
v
                                                                                            '..                                    q) d v
.... s *... -
CO
q) d CO g
                                                                                  ', .. .. s *...1600.0
v q) 10.0 1600.0 a
                                                                                                          -                      a g
M D
q) 10.0   -
' '. = ~
M D                                                                                                                           c)
c)a 8.0 d
                                                                    ''.=~                                                         a 8.0   -
, ~.. =
d q)                                                                                                                          C u
1200.0 $
cL
C q)u cL 6.0
                                                          ,~..=                                     -
-d dC C
1200.0                   $
C C
      -    6.0   -                                    -
4.0,
d                                        *,-                                                                               d C                                   '
800.0 2.0
                                              -                                                                                    C C   4.0 ,
,s' 0.0 :f' 400.0 i
C 800.0 2.0     -
                      ,s' 0.0 :f'       .
i i
i i
i
0.0 20.0 40.0 60.0 80.0 100.0 Percent Core Melt-Ejection
                                                                                          .              400.0 0.0                 20.0                 40.0         60.0           80.0       100.0 Percent Core Melt-Ejection
----- -}}
                                                                                                              --------- _ ----- -}}

Latest revision as of 01:11, 7 December 2024

Direct Containment Heating Analysis W/Contain Computer Code, Ltr Rept
ML20206H144
Person / Time
Site: Sequoyah, 05000000
Issue date: 09/02/1986
From: Bergeron K, Carroll D, Tills J
JACK TILLS & ASSOCIATES, INC., SANDIA NATIONAL LABORATORIES
To: Silberberg M
NRC OFFICE OF NUCLEAR REGULATORY RESEARCH (RES)
Shared Package
ML20204G644 List:
References
CON-FIN-A-1146, CON-FIN-A-1198, CON-FIN-A-1412, RTR-NUREG-1150 NUDOCS 8704150271
Download: ML20206H144 (22)


Text

..

i i

) * [* 2 6 Sandia National Laboratories i

Albuqueteue, New Mexico 87185 September 2, 1986 i

Mr. M. Silberberg, Chief Accident Evaluation Branch Office of Nuclear Reactor Research U. S. Nuclear Regulatory Commission Washington, D. C. 20555 i

Dear Mel,

requested a short time ago that we in the CONTAIN code project Tim Lee l

cpply the newly-developed Direct Containment Heating (DCH) models in the CONTAIN code to the sequoyah ice condenser plant in a sensitivity study for Appendix J of NUREG-1150.

In view of the high priority assigned by NRC to these issue

papers, and in view of the rapidly disappearing i

window of time before the deadline for NUREG-1150, we have devoted an j

intensive effort.since then to producing the letter report which we are now transmitting to you.

principal results of the study are given in Table 2 and Figure 3 of The letter report.

We think these results are extremely important and the quite interesting. It should be kept in mind, of course, that this also study is different from the simpler analyses of DCH in Surry performed the CLWG and reviewed in the current draft of Section J.5 of NUREG-for 1150; in particular, the calculations are not intended to be bounding.

In

fact, all parameters in the calculation except the two sensitivity parameters and the amount of pre-existing hydrogen in containment (see i

below) were chosen to have values which were our best-estimates; the Sequoyah TMLB' was our principal guide for'many of these l

BMI-2104 choices.

Thus, while the pressures shown in Figure 3 are lower than for the worst cases in the Surry CLWG calculations, it should not be concluded that the DCH problem is worse for Surry than for Sequoyah.

l Naturally, the details of these results are dependent on the choices made for uncertain parameters and assumptions about accident progression.

However, a number of qualitative conclusions emerge from which we believe will have rather broad applicability.

study this This r

it is clear that the dominant metal reaction is with steam.

First,a consequence of the lack of oxygen in the environment of the debris is l

particles early in their histories, and the high reaction rates.

one cannot isolate the DCH phenomenon from hydrogen combustion.

Second, used default combustion criteria, but it is highly In this
study, we likely that they are inappropriate.

Lower combustion thresholds,

however, would probably not dramatically change the likelihood of containment failure for Sequoyah.

However, one feature which will be 8704150271 870408 i

PDR NUREG 1150 C PDR 2f

s s

M. Silberberg September 2, 1966 c

censitive to the combustion threshold is the location of the sharp around 20% melt ejection in Figure 3.? This transition i

transition seen is due to the onset of hydrogen combustion (i.e., no burns occur at melt j

fractions below this point).

The location of the transition is also offected by the presence of hydrogen in the containment just before vessel failure.

In these calculations, no pre-existing hydrogen was assumed (the hypothesis being that independently-powered igniters or recombiners removed the hydrogen and corresponding amount of oxygen prior to vessel failure).

Non-zero pre-existing hydrogen would shift the transition to the left.

We feel that our treatment of pre-existing is somewhat non-conservative, but we made this choice in hydrogen. here to have a cleaner sensitivity study,(i.e., we are not interested orderpresent in the problem of combined steamcspike and hydrogen burns in at the absence of DCH--a scenario demonstrated by SARRP to be a major concern by itself.)

/

A third conclusion is that the results are' auch less sensitive to assumptions about de-entrainment (or trapping) than has been previously thought.

The two choices of debris de-entrainment time, 0.3 and 10

ceconds, are, in my mind, reasonable estimates of the upper and lower bounds of the plausible range for this parameter.

But, as Figure 3

shows, the differences in peak pressure are not great (though peak temperatures show a

greater sensitivity.)

This is an extremely important

result, and it has important implications for model development priorities, for experimental matrix
designs, and for assessment of plant geometry effects.

For example, it would suggest that the heuristic plant geometry categorization proposed by IDCOR may be less relevant than they suggest.

The study of DCH phenomena with CONTAIN will continue into the next fiscal

year, of
course, supported in part by the SASA and QUECLA projects.

In fact, we have already developed and exercised an improved and heat transfer (to be described in a forthcoming of mass treatment paper at the ACS conference in Anaheim in October), and are developing a droplet field model.

However, for the Sequoyah calculations multi-size presented here, we applied the version of the model which was presented 4

at the April 1986 meetings on DCH in Silver Spring and Bethesda.

The reason for choosing this version is that the opportunity for peer review has taken place, and the code has been extensively exercised over the months.

Also, it is the version of the model which was so past four successful in semi-blind post-test predictions of the DCH-1 experiments (cf.

letter to T.

Lee, June 4,

1986).

For inclusion in a high-document such as NUREG-1150, therefore, it seemed prudent to visibility i

use the older version, especially since our experience with the improved models leads us to believe that they would not give significantly different results for the cases considered here.

summary, the sensitivity study we have done in support of the NUREG-In 1150 issue paper on DCH must be considered only part of the story of the ongoing progress in this rapidly evolving area, but it can serve an j

-. - -.. _ _., - _., - - -..,, _ _. ~ -

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l

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/ Ssptemb3r 2, 1986 M. Silberberg

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(1

-sg in conveying the basics of our current understanding important purpose of the phenomena.

We have a relatively high degree of confidence in these predictions (certainly more so than in the ultra-conservative CLwo calculation) and we feel that this work is suitable for inclusion in the issue paper.

Please let me know if you have any questions on this material.

Sincerely, J+

Kenneth D. Bergeron, Supervisor Containment Modelling Divsion j..

Encl.:

Letter report

" Direct Containment Heating Analysis with the CONTAIN Computer Code" V

cc: w/ encl:

h J. Mitchell, NRC/RES R. Meyer, NRC/RES P. Wood, NRC/RES T. Walker, NRC/RES F. Eltawila, NRC/NRR 11 6422 D. A. Powers 6422 W. W. Tarbell 6422 M. Pilch 6440 D. A. Dahlgren 6449 D. C. Williams j

6449 D.

E., Carroll 6449 J. L. Tills 6449 K. E. Washington 6449 File 3.7

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't e*

s Attachment to Latter from K. D. Bergeron to M. Silberberg, September '2,1986 y_

Direct Containment Beating Analysis with the CONTAIN Computer _ Code

  • K. D. Bergeron, D. E. Carroll, J. L. Tills

Containment Modeling Division 6449

[.

Sandia National Laboratories Albuquerque, NM 87185 i

1. Introduction phenomena of melt ejection, debris dispersal, c'nemical reactions and heat The transfer between debris, water and gases which collectively contribute to the Direct Containment Heating (DCH) phenomenon are extremely difficult 'to predict with confidence using existing calculational tools. An ongoing NRC research program is underway to study these processes experimentally, and it is expected that a significantly improved understanding of DCH will' result from these experiments.
However, in the interim, it is useful to analyze the with the best calculational _ tools available in order to assess the problem important uncertainties and to be able to interpret the' results of the experi-as efficiently as possible when the data become available.

There are a ments number of phenomena involved in direct heating (e.g., debris transport through i

complicated pathways) for which there are virtually no verified or verifiable better understood (e.g. heat and mass transfer models; tother ~ phenomena are from a suspended droplet). A model which treats the highly uncertain class of phenomena parametrically, and the better understood phenomena with best-models is therefore a reasonable goal for an interim calculational estimate tool.

This report describes an Interim Direct F*oting Model (IDRM) which has been developed as an module of the CONTAIN corrWtt code, and which is work supported by the United States Nuclear Regulatory Commission under j

  • This 1146,1198, and 1412 and performed at Sandia National Laboratories which FINS for the U.S. Department of Energy under Contract Number DE-AC04-is operated 76DP00789.
  • J. L. Tills and Associates, Albuquerque, NM

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2 f

provide an improved understanding of the uncertainties in the intended to accident sequences involving direct heating, and which can be of analysis of use in interpreting and guiding the DCH experiments. This model is then applied in a sensitivity study to the TM13' sequence at the Sequoyah ice condenser plant.

2. Backaroundt, Previous DCH Calculations The uncertain aspects of DCH limited early modeling efforts to relatively simple paremeter studies in which the mass and composition of the debris in the direct heating was simply assumed by the analyst.

participatingarbitrary assumptions were made concerning the degree of complete.

Similarly, ness of the oxidation of the metallic constituents of the debris with steam or oxygen in the atmosphere.

In October, 1983, the direct heating question was raised at a meeting of the Containment Loads Working Group (CLWG) in reference Problem No. 1 (SP-1), which was a THLB' sequence at a Zion-to tHe Standard In the next CLWG meeting at Palo Alto in February, 1984, CONTAIN like plant.

calculations of DCH for SP-1 and SP-2 were presented which were based on The energies were assuming varying amounts of energy transmitted to the gas.on the specified composition of the in side calculations based calculated debris and varying degrees of debris participation in the process.

of this calculational approach was that the equilibration of deficiency One between the debris and the gas was not explicitly taken into account, so heat that the sensitivity parameter was not the fraction of debris mass participating, but rather the fraction of the debris enthalpy transmitted to code, designated DHEAT, was developed which was this a new the gas.

ForCONTAIN in many respects (e.g., heat transfer to and conduction l

simpler than are neglected) but which explicitly equilibrated heat between in heat sinksgas, making it impossible for example to calculate a situation in debris and This code-gas was hotter than the debris at the end of the event.

which the was used extensively for the DCH parameter studies used in the CLVG final report, NUREG-1079, which was published in draft-for-review form in the summer However, DHEAT was limited in a number of ways; it was restricted to of 1985.

it neglected heat transfer to sinks, it did not a, single control volume,the atmosphere during the chemical reactions, and it add gas to the user to specify the fractions of participation of the debris, in remove or required transfer and also in terms of oxidation. However, it had the terms of heat The being extremely fast and well-suited to parameter studies.

of code has been informally distributed to a number of participants in the advantage DHEAT Accident Risk Reduction Program (SARRP) containment event tree experts A paper which Severe panel to assist in assessing the DCH problem for SARRP.CONTAIN a l

review includes both and Design (K. D. Bergeron and D. C. Williams, EED. 22, 153, 1985.)

Another model development effort which contributed to our understanding of DCH to M. Pilch, in support of the SPIT and HIPS experiment series which This model followed the trajectory of a single was due were fielded in 1984 and 1985.

the atmosphere under gravity. Unlike the through debris droplet falling this calculation tracked the debris temperature and

above, models described function of time, taking account of heat and mass transfer composition as a I

l l

. i limitations in the gas boundary layer surrounding the droplet. Atmosphere temperature and pressure was simultaneously tracked for a self-consistent calculation based on the simple picture of a field of droplets falling through single volume containment. This model and a number of the atmosphere of a sensitivity studies using it are presented in NUREG/CR-4051, SAND 85-2435.

In February,1986, L. Baker of Argonne National Laboratories presented a paper Diego ANS/ ENS meeting on direct heating modeling.

This was an at the San extension of the Baker-Just model for metal droplet oxidation which had been for LMFBR applications in the 60's.

Unlike other models discussed developedBaker's treatment explicitly considered liquid-side as well as gas-side

here, diffusion limitation on chemical reaction rate of a droplet moving through a gas environment.

Corradini and his colleagues and students at University of In another effort,developed computational models for heat transfer and chemical Wisconsin have reactions of debris suspended in the atmosphere in a code called DIRHEAT.

A of parameter studies with this code have been performed, and in variety addition UW personnel have used it in conjunction with a suite of containment (HECTR, KEDICI-M1, and CORCON) which were developed by Sandia analysis codes The direct heating models and calculations were documented in for the NRC.

two UW reports, designated UWRSR-34 and UWRSR-35.

In November, 1985, the CONTAIN code project at Sandia National Laboratories was requested by the NRC to develop improved models to serve the purpose of interim issue resolution, and also to assist in guiding or interpreting the data expected in early 1986 from the Surtsey facility.

It was experimental decided to improve the existing models by including mechanistic heat transfer and chemical reactions, and by allowing multiple volumes, but with debris volume controlled by relatively simple parametric transport from volume to models.

In the following sections the resulting model is described.

The features of the new model reflect the influence of the earlier models described above.

A number of model development efforts have taken place concerning melt ejection from the vessel and the cavity. These include work done at Sandia, University of Wisconsin. However, since the focus of the IDRM Argonne and work which is the subject of this report is on mass and heat transfer, these models will not be described here.

3. Eescriction of CONTAIN and the Interim Direct Heatine Model are two aspects of the new calculational capabilities under discussion:

There standard CONTAIN models and the new features of the IDHM.

These will be briefly discussed below, with no attempt at completeness.

Also to be discussed are verification calculations done to compare the new models against earlier calculational tools.

Finally, we will flag a number of modeling uncertainties of which the reader should be aware in order to put calcula-tional results in the proper perspective.

i l

4-3.1 Relevant CONTAIN Models CONTAIN is a system-level best-estimate containment analysis code specifically accident containment phenomena. Figure 1 designed for analysis of severe the phenomena modeled for a typical LVR problem.

schematically illustrates CONTAIN models can be found in the CONTAIN User's Manual, so Details of the only a brief description of the standard features which will be utilized in typical direct heating calculations will be presented here. All of the CONTAIN models are keyword-enabled, so if the appropriate keywc*;d does not the input deck, the model is not activated. Thus, for many direct appear in it would be unnecessary to activate the CONTAIN models heating calculations, for aerosol physics, fission product decay and transport, debris-concrete interactions, and a number of other features.

The features which would ordinarily be used include the following:

a.

Intercell flow. CONTAIN uses a control volume approach to gas each specified volume or cell as a well-mixed repository transport, treating Flow between cells occurs via an orifice flow correlation when of the gases.

a flow path of a given cross-sectional area and friction coefficient is specified between the cells.

Arbitrary interconnections between cells are allowed. An arbitrary number of computational cells is allowed.

b.

Two-phase gas-steam-water thermodynamics. A realistic equation state for two-phase water and a variety of non-condensible gases is solved of every time step to give the pressure and temperature of each computational at cell based on the internal energy and masses of the constituent gases.

c.

Heat transfer to structures. Each cell can have an arbitrary n==her of heat transfer structures inside the volume.

Heat transfer occurs via convection, condensation (including evaporation), and radiation betweer.

the gas and the structure surfaces.

Gas-structure radiation heat transfer sophisticated model for the emissivity of steam and utilizes a reasonably condensation model is applicable to both saturated and carbon dioxide.

The conditions.

Each structure can be represented as a atmospheric superheated a half-cylinder, or a half-sphere, and it can be composed of an planar slab, arbitrary number of layers of materials (e.g. steel, concrete, gas). Each the user through input, and the one-dimensional heat by layer is nodalized is solved to obtain the temperature at each point in the conduction equation film is allowed to collect at the structure surface A condensate material.

reaches a user-controlled depth, at which point the excess runs off 4

until it and is added to the water pool, if one is specified for that cell.

d.

Hydrogen combustion. The hydrogen burn model is taken from the EECTR code, which was developed at Sandia for the analysis of containment Unless burns have been problems involving hydrogen transport and combustion.it is assumed that an ignition source isf explicitly inactivated through input,the concentrations of hydrogen, oxygen, and always present, and that whena burn occurs.

Propagation from cell to cell steam are in a certain envelope, take place depending on whether certain other concentration criteria are All burns are treated as deflagrations occuring over a time period will satisfied.

5-determined by the characteristic len5th of the cell sed a flame speed which is calculated from correlations.

e. Pool boiling.

If a water pool is specified for a given cell, and a debris layer is present below the pool, heat transfer between the debris and and if the pressure-dependent boiling temperature is the water will occur, reached, the pool will boil.

f.

Ice condenser.

The ice condenser model involves both thermal-

' hydraulic and aerosol decontamination modeling, but since fission products are primary interest in a typical direct heating calculation, we will not not of describe the scrubbing model. The ice is modelled as a surface held at the which changes in area as the ice melts. Condensation heat temperature ice is modeled between the atmosphere and the ice with a thin water film transfer Radiation heat transfer to the ice from the gas is also separating the two.

modeled. The melted ice exits the cell and is added to the pool of a user-at a user-specified temperature.

Doors between the lower specified cell and the ice bed and between the ice bed and the upper containment compartment the being either one-way or two-way; in the latter case, can be modeled as be different depending on which direction the flow effective flow area can

occurs, g.

Containment Sprays.

Like the ice condenser, sprays have important effects on thermal-hydraulics as well as on radioisotope inventories, but the latter will not be discussed here.

It is assumed in the model that all droplets exiting the spray nozzle are the same size, but spray that the size can change through evaporation or condensation as the drop The fall velocity is the terminal velocity. Heat transfer from the falls.to the droplet t. 'ces place via the same condensation model as is used for for t..a ice condenser, except the Nusselt number used is that gas structures and When the sphere moving in a gas at the terminal velocity.

appropriate to a droplets reach the floor, they are added to that cell's water pool (or another cell's pool, if the user so specifies in input.)

3.2 Direct Heatine Models

)

modification is that a new field has been added to the code.

principal The debris field is like the gas in that each cell is a well-mixed repository The However, the debris mass in each cell is of the debris mass and its energy.

assumed to be composed of a large number of spherical droplets having A realistic debris equation of state identical composition and temperature.

is solved at each time step to give the debris temperature in each cell. There are five debris constituents allowed: Zr, Zr0, Fe, Feo, and UO '

2 2

flows with the gas in a dispersed droplet mode; that is to say, The debris is transported from one cell to the next with the gas in proportion to debris Such a the mass of debris and gas present in the donor cell at each timestep.

model is sometimes referred to as a homogeneous flow model.

In the cavity can be justified by the fact that gas velocities are so

area, this approach which impinge on surfaces are quickly resuspended in the high that droplets i

i

i gas stream and fragment down to about the maximum Weber-stable radius.

However, in the model, the droplet diameter, D. 18 8pecified in input and d

This picture of debris transport does not change throughout the calculation.of the critical Kutateladze velocity is at gas velocities well in excess

_ justified by theory, the HIPS experiments, and simulant fluid experiments conducted at Brookhaven.

However, as gas velocities drop, it is to be expected that some de-entrainment This is analogous to the that is not followed by re-entrainment.

will occur transition from dispersed droplet flow to annular flow in two-phase flow in

However, so little is known about the flow patterns under these in the complex geometries and large scales of reactor containments pipes.

conditions it is not possible to develop reasonable mechanistic models of two-phase the situation under consideration, especially when the material is that flow for of eutectic, metal and oxides at an unknown temperature.

an unknown mixture process of de-entrainment is treated parametrically:

a user-the Therefore, removal rate, f, is assigned to each cell, and in each second, that specified cell's debris content is assumed to be removed from the fraction of thedeposited in a debris layer at the bottom of the cell (if the atmosphere and The remaining debris layer has been enabled for that cell in the input deck).

transported, without slip, with the gas to downstream suspended debris isof the debris contributes to the inertia of the gas if the cells.

The mass in the flow equation is important. The mass and energy of acceleration term cell is added to that cell's debris field, resulting in a debris entering a new debris temperature and a new composition.

Heat transfer occurs between the debris and the gas via convection and heat transfer coefficient is calculated based on a radiation.

A convection Reynolds correlation for turbulent flow over a sphere, with a droplet

velocity, v,

for cell i relative to the gas specified by the user. The g

Nusselt number is the same as used by Pilch in NUREG/CR-4053, and is given by:

Nu - 2.0 + 0.6 (Re /2)(Pr /3)

(1) l

)

The use of a the Reynolds number and Pr is the Prandt1 number.

I where Re is non-zero relative velocity of the droplets is not necessarily inconsistent

~

with the zero-slip assumption when it is realized that the debris field consists of a collection of particles moving in random directions superimposed on an overall drift equal to the gas velocity.

the radiation heat transfer from the droplets are available:

I Two models for In the gray gas model, radiation heat gray gas model and the clear gas model.between the debris and a gray, non-transmitting l

transmission assumed.

A multiplier, a,

is provided to reduce the heat transfer occurs g

the gas from the black body value. This multiplier can be to be the product of the debris and gas emissivities and any other transfer to reduction or enhancement factors which might come into play in gas-debris considered i

l l

- _ _ _ _ _ - _, ~ _ _ _ _ _ _ _ _ _,, _ _. - _ _ _ - _ _.., - _,,,, -. _..,,,

. radiation heat transfer.

With the multiplier equal to 1, this model will probably over-estimate heat transfer to the gas.

The clear gas model assumes the gas is transparent to debris radiation and that the debris radiates to heat sink surfaces without attenuation. The maximum interfacial area for this heat transfer is the structure surface area, a multiplier, o,, is provided to reduce this area in order to account for but the possibility that not all of the structure area can "see" the debris plume, or to account for non-unity emissivity, etc. With this multiplier equal to one, the clear gas model will underestimate heat transfer to the gas from the debris.

4 Chemical reactions can take place at the surface of the droplets if they contain oxidizable metal. The metal oxidation reactions allowed are performed in a hierarchical fashion in the following order:

(1.) Zr + O Zr0 2

2 (2.)

2 Fe + O 2 Fe0 2

(3.)

Zr + 2 H O Zr02+2H2 2

(4.) Fe + HO Fe0 + H 2

2 (5.)

2H+O 2HO 2

2 2

The first four reactions are limited to (1.) the mass of metal in the droplet and/or (2.)

the mass of oxygen or steam which can diffuse throught the boundary layer to the droplet surface from the bulk gas. The heat from these reactions is added to the droplet field energy. All mass inventories (debris appropriately updated in accordance with the extent of and gas fields) are each reaction.

The fifth reaction is marked with an asterisk because it is different from the normal hydrogen combustion event discussed in Section 3.1.

The only hydrogen involved in this reaction is the by-product of reactions 3 and 4, and the oxygen mass, if any, is taken from the bulk gas, rather than the quantity which can diffuse to the droplet surface. This reaction represents the result of diffusion of the hydrogen byproduct back to the bulk gas.

It is assumed that the near-drop environment is so hot that hydrogen-oxygen recombination occurs without need of a flame or spark source.

It is also assumed that the back-flow of hydrogen does not impede the diffusion of oxygen, a reasonable assumption given the high diffusivity of hydrogen, and the uncertainty in other aspects of the mass transport model. The heat from this reaction is added to the bulk gas, not to the debris.

j 1

i i

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e

  • 7-_.,_-___,m_

8-Oxidation of UO by oxygen is not treated in this model since there is 2

and since it evidence that it is not favored at the temperatures of interest, The chemical reactions discussed above has little significance energetically. diffusion of the oxidizing gases through the are rate-limited in only one way:

around each droplet.

It is also possible that the layer gas boundary limited by diffusion on the droplet side, either in the liquid reactions are or in a solid crust. Baker's ANS/ ENS paper was based on a particular phase model for the droplet-side diffusion limitation, for example. However, there For example, the is a great deal of uncertainty in how to model this process.

solubility of the oxides in the metal phases must be considered. Also, one must consider the possibility of mixing inside the droplet due to internal For the present model, therefore, droplet side limitations circulation loops.

will rely on two parametric are not modeled mechanistically; instead, we features.

First, all reactions are shut off at a user-specified droplet temperature, T,.

Second, multipliers on the diffusivity of the gases is and a fr xygen and steam diffusi-available; these are designated a,x st vities, respectively.

In a gross sense, reducing the diffusivity will limit the reaction in a way similar to the liquid side limit, though the dependence on droplet composition will not be the same.

the droplet is calculated with a mass transfer coefficient Mass transfer to In other words the dimension-based on a heat transfer / mass transfer analogy.

Sherwood number, Sh, is calculated from a correlation quite like that of less the Nusselt correlation in Eq. 1, except the Frandel number is replaced by the Schmidt number:

Sh - 2.0 + 0.6 (Re / )(Sc ! )

(2) for diffusion of oxygen and steam to the droplets is equal to used The area of a single droplet times the total number of droplets in the cell.

the areathis treatment does not properly account for the fact that at any given Since time there will actually be a distribution of particle compositions, some with unoxidized metal left and some without, this treatment may overestimate the reaction rates. Therefore, in a model variation, a multiplier on the area for diffusion is used which is based on an estimate of the fraction of debris particles which still have some metal left.

The Sch=idt nu=ber in Eq. (2) is given by (4)

E Sc -

pD the gas viscosity, p is the gas density, and D is the binary gas where p is (Equ. 16.3-1, p. 505, diffusivity in air, given by Bird, Stewart and Lightfoot i

. 1960 edition).

All gas properties are evaluated at conditions intermediate between the droplet and the bulk gas.

exercise, a simple problem was defined which could be run As a verification both on the Pilch model from NUREG/CR-4053, and on an improved version of for gas inventory changes due to chemical reactions).

DHEAT (which accounts The problem involved injecting debris consisting of four materials into an air No 10 m/s, and observing the pressure and temperature rises.

environment at haat sinks were modeled, and no trapping was allowed.

After thermal equilibration had been achieved, the CONTAIN and DHEAT pressures and The Pilch model agreed within about 74 in temperatures agreed to within 0.34.

the total number of moles of gas due to temperature, but it does not adjust More important, since the Pilch model calculates droplet the reactions.

function of time, it is possible to compare the time required behavior as a for the droplet to reach its peak temperature. On this quantity, the Pilch model and CONTAIN agreed to within 10-154. Given the differences in the models, this was considered adequate verification.

3.3 Modeline Uncertainties There are many uncertainties in modeling a process as complex and poorly as the melt-ejection / direct heating problem.

It is important that understood of any calculations using this model be interpreted in the light the results of these uncertainties.

(This is true of all direct heating calculations performed to date, though it is too often true that the uncertainties are paid little attention.) As indicated in the model descriptions, our basic strategy for dealing with these uncertainties is to provide adjustable parameters (defaulted to our best estimates) so that sensitivity studies can be performed Many of the limitations of the present model have been through input. the course of the model descriptions, but it is worth while to identified in In the list below, we identify a nuiber of the re-iterate some of them here.

or input uncertainties, and indicate what control the user has in modeling parameters to account for each uncertainty. Ongoing model development varying will alleviate many of the problems identified below.

Fraction of debris eieeted. This amount depends on the extent of melting at the time of vessel failure, on the location of the break, and Very little certainty is core possibly on the way the hole in the vessel enlarges.Since the mass and composition of the ejec on these subjects.

possible debris is specified as tabular input, this uncertainty is fully controlled by the user.

The droplet size may be estimated on the basis of a Droelet size.

stability criterion, but smaller droplets are possible depending on the if nature of the fragmentation processes, and larger droplets are possible Weber velocities are smaller than assumed in the Weber relative local gas-debris Therefore, the diameter itself is specified by the user.

number calculation.

This uncertainty is possibly the most intractable Debris transoort.

principal purposes of the Surtsey experiment in the problem.

One of the series and the simulant fluid experiments at Brookhaven is to improve our l

l

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g.....

i i

i #

i

]

understanding of the way debris-gas mixtures can be transported through complicated pathways and around obstacles. De-entrainment and isolation from the high velocity flow region is an important_ potential ILuitation on debris transport.

So is freezing on metal structures, although conduction limita-tions may prevent this process from being very efficient if the debris expulsion time is short. Freezing on concrete is a little more difficult to

credit, since outgassing and/or spalling of the concrete will prevent the-debris from " sticking". The principal control the user has on this process is l

the trapping fraction, which removes debris at a rate which is proportional to the, amount of debris in the cell. The removed debris is deposited in the i

debris layer, and does not participate in continued direct heating.

j Heat transfer.

There is some uncertainty concerning how effective i

the mixing between the gas and the debris plume might be..The Nusselt Eq. 1 assumes a mean droplet velocity relative to the flowing i

correlation in gas which is quite arbitrary.

Similarly, in the clear gas option radiation heat transfer is based on good optical contact between the walls and the debris plume, and that the plume exterior is at essentially the same temperature as the bulk debris.

To study that uncertainty, the user can l

sdjust the interfacial area. The gray gas model has no such problem, but it probably overestimates the heating of the gas and underestimates the heating of the walls.

On the other hand, the presence of copious quantities of l

aerosols and steam probably make the gray gas model more reasonable than the clear gas model.

i chemical reactions. The chemistry model is quite simple, and it is

{

that the actual processes going on would be far more complex.

One likely important assumption is the neglect of a limitation on diffusion on the liquid side of the droplet / atmosphere interface.

A solid crust could inhibit gas diffusion even more. To accomodate this uncertainty, the user I

oxidizing control of an overall multiplier on the diffusivity, which can be used as l

has i

a surrogate for the liquid side limit. The temperature cutoff serves the purpose of simulating the effects of the crust formation and freezing of a 1

droplet, and the value of the cutoff temperature is available throught input

]

)

to the user.

Flownath and control volume confiruration. As is always the case with computational simulations, part of the model is the nodalization. Of i

particular concern is the possibility that the flow paths specified are incorrect after the melt ejection begins. For example, dynamic loading of the boundaries' of the cavity region in Sequoyah could result in a failure which j

would create a new flow path to different parts of the containment. The j

analyst can study such possibilities with alternate nodalizations and flowpaths between cells which can only open when the pressure difference 2

number specified in the input.

(This option is a standard CONTAIN exceeds a I

feature.)

Effect of distribution of droelet nrocerties.

The well-mixed i

assumption applied to the droplet field requires that material entering a cell l

mixed with the existing cell material, resulting in a new effective single l

be i

drop properties (composition, temperature, etc.) In reality, the history of 1

i I

. each droplet is different, and there will be a continuous distribution of properties.

This difference may not be important for some processes, such as heat transfer, since there may be good radiant heat exchange among the droplets, and the overall heat transfer rate may not be very sensitive to the width of~ the various distributions.

It may be more important for chemical reactions, since all of the unreacted metal may reside in a relatively small number of droplets.

As discussed above, a model variation is available to take the latter effect into account in a simple way, but there is still a good deal of residual uncertainty associated with this problem.

Hydromen combustion.

In the chemistry model used, the hydrogen liberated by metal steam reactions on the surface of the suspended drops is assumed to recombine with the oxygen in the bulk. However, it is also possible that the pre-existing hydrogen may be ignited by the melt dispersal Conventional steam inerting criteria are probably irrelevant for this event.

situation.

A modification of CONTAIN has been developed to allow the user to modify the ignition criteria for the gas concentrations, but what is probably needed is an ignition criterion based on cell gas temperature or debris temperature, or some kind of average.

Such a capability for CONTAIN is under development.

4. IDEM Calculations of the Beauovah Ice Condenser Plant Containment Resnonse to the TMLB' Station Blackout DCH Scenario.

In this section, we will present direct Containment Heating calculations performed with the IDHM for the Sequoyah ice condenser plant ~. Before discussing these calculations, functional differences between the Sequoyah containment and conventional large dry containment designs which may affect containment response to a DCH event are worth noting.

Sequoyah is a small containment with a failure pressure slightly above 4 bars.

In comparison, large dry containments such as Surry typically have design pressures in the vicinity of 9 bars.

The relatively low failure pressure of Sequoyah is-primarily a consequence of the ability of the ice condenser to remove large quantities of blowdown steam, thereby dramatically reducing peak containment pressures in the design basis accident scenario (double-ended severance LOCA).

l In a DCH event, hydrogen burns fueled by copious amounts of ex-vessel hydrogen not greatly mitigated by the and other relevant DCH phenomena which are i

I of the ice condenser may give rise to a previously unforseen threat.

presence CONTAIN IDHM predictions of Sequoyah peak pressures in a TMLB' DCH scenario are therefore warranted.

4.1 Problem Descrintion The main objective of this study is to estimate peak containment pressure as a function of corium ejection fraction for the Sequoyah ice-condenser plant with performed using a-3 cell nodalization as the IDRM.

The calculations were shown in Figure 2.

The standard 3 cell CONTAIN input deck for Sequoyah was supplemented by the required IDHM input parameters and corium source tables.

Relevant IDRM options, corium source masses, vessel blowdown characteristics,

4 and other user-selectable inputs chosen for the calculations are discussed This discussion will focus on those parameters most closely related to below.

the modeling uncertainties outlined in section 3.3.

f s.

De-entrainment.

The results are presented as two separate sets of The first set of calculations were performed with a debris de-calculations.

entrainment time (t ) for all three cells of 0.3 seconds. The debris de-d entrainment tbne is defined as the inverse of the fractional trapping The

rate, f,

which governs the rate of debris removal from the atmosphere.

g second set of calculations were done with a e of 10.0 seconds. These two d

believed to provide practical upper and lower limits with values of t are d

effects of debris removal from the atmosphere via interaction regard to the (a process which is not modeled mechanistically in the with cell structures IDHN).

The debris content was taken to be that of the Composition.

l b.

Corium the time of RPV failure for the Sequoyah plant as provided in TMLB' melt at BMI-2104 vol 4, Table 6.8.

In each case the corium was assumed to enter the The mass source rates lower cavity at a steady rate over a 5 second period.

(in kg/sec) for the corium constituents in the 100% case were therefore 20198 (UO ), 2360 (Zr), 3052 (Zr0 ), and 9968 (Fe). All cases other than 1004 j

2 2

ejection consisted of uniformly scaled down corium masses with all other parameters held constant.

i Hydrogen. Based on the debris composition described above, c.

In-Vessel the in-vessel zirconium-steam reaction was calculated to have liberated 496 kg

  • l 2

of hydrogen.

One half of this hydrogen was assumed to recombine with oxygen in the containment prior to RPV failure (This assumption atmosphericjustified by hypothesizing igniters or recombiners with independent could be i

power supplies). The remaining hydrogen was assumed to enter the containment This treatment of the in-vessel hydrogen may be non-with the blowdown steam.

conservative; however, it separates the DCH problem from the more conventional hydrogen burn problem which by itself is known to be a problem for ice Hydrogen burns fueled by hydrogen produced after vessel condenser plants.

Zr-steam and Fe-steam chemical reactions were considered and i

failure by the are shown below to be the major contributing factor to the DCH induced

{

pressure rise in the cases that predict containment failure.

i d.

Blowdown Characteristics.

The vessel steam / hydrogen blowdown was 30 seconds following RPV. failure. The blowdown was assumed to last forassumption of constant mass flow rate over.this 30 second modeled under the made to account for a ramp at the beginning of the period.

No attempt was blowdown nor a tail at the end of the blowdown. The total steam mass of 3

39,652 kg was determined from the total primary system volume (373 m ) and the volume of saturated steam at the failure conditions (T-578 K. P-15.6 specificTherefore, the steam blowdown mass rate was 1322 kg per second.

l MPa).

i i

i

?

,.,.7.-

,____.y.

---.--.---,..-.__.m,-

,.,,,____._.,_,,.,_,__my.

y-%.,

, -, -,,,,,,, ~ -,,, -., _ - ~,, - -,,,,,, - _ _ -, - -,, _. -,, _ _,,, _,,.

. e.

User Selectable IDHM Input Parameters. As discussed in Section 3.3, selectable input parameters are provided to account for various i

several user direct containment heating modeling uncertainties. The parameters of primary interest are those listed in Table 1.

The values chosen for the present i

calculations are now given. All calculations were performed assuming 0.5 mm drops (D ),

c nsistent with the Surtsey DCH-1 experimental results of debris d

mass median diameters.

The multiplier on oxygen diffusivity, o,g, and the were both assumed to be unity. The multiplier on steam diffusivity, o,g, chemical reaction cutoff temperature, T,, of the bulk debris field was assumed to be 1000 K.

Radiative exchange between drops and the' surroundings was the gray-body model with a chosen effective drop emissivity of treated under 0.8.

An opaque gas model was assumed in which all of the radiated energy was deposited in the gas and none in cell structures (o - 0.8, a,- 0.0).

The g

debris velocity relative to the gas, v, (used in the evaluation of Re) was g

assumed to be 6 m/sec in each of the three cells. This velocity roughly corresponds to the terminal fall velocity of a 0.5 mm debris drop.

In all calculations the hydrogen recombination option was used.

In this option hydrogen produced in a cell is assumed to immediately combine with bulk oxygen in that cell with the reaction energy going to the gas.

Finally, the fraction of ice left at vessel failure, b, was assumed to be 0.8.

TABLE 1. Ilser Specified Parameters for IDHM Fraction of nominal core mass of debris ejected rem Multiplier on black body radiation from debris to gas a

Multiplier on radiation from debris to wall a,

Multiplier on oxygen diffusivity a,x Multiplier on steam diffusivity a,e T,

Cutoff temperature for chemical reactions (K)

Cas-debris relative velocity in cell i (m/s) vg Trapping parameter; fraction removed from cell i per second (s'1) f g D

Debris droplet diameter (m) d Fraction of initial ice left in ice condenser at vessel failure b

l l

'h.

14 I

4.2 Discussion of Results CONTAIN predictions of peak pressure in Sequoyah as a function of corium ejection percent, r,,, are shown in Figure 3 for the two de-entrainment times discussed in Section 4.la.

For purposes of discussion, these curves will be divided into 3 separate regimes. The first regime is between 0 and 15 core percent for the t -10 case and 0 and 20 percent for the t -0.3 case. This d

d hydrogen burn in the upper regime is characterized by the sbsence of a containment (cell 3).

The resulting predicted peak pressures are high enough to threaten but not exceed the failure pressure. Note that at r,g-204, occurrence of a hydrogen burn in the upper compartment depends on the de-entrainment time.

While the location of this threshold depends on td' I' I' seen that t has little impact on peak pressures before the burn threshold is d

crossed.

In the second region the peak pressure is primarily driven by the 1

hydrogen burn process in the upper dome. Near the end of the second region, an interesting yet physically realistic behavior is predicted when tg-0.3.

i That is, the peak pressure for a 404 corium ejection was predicted to be higher than for a 50% corium ejection. Study of the detailed code output indicates that this behavior can be attributed to the fact that the hydrogen burn in the 50% case began at an earlier time than it did in the 40% case.

The timing of the burn has this effect on the peak pressure because at early times (immediately after debris ejection) the lower-cavity temperatures are l

considerably higher than at later times.

Due to subsequent cooling, the more efficiently as a " pressure-sink" for 4

lower-cavity can therefore serve early burns than it can for late burns. When t -10 this behavior is somewhat d

t overshadowed by the severity of the early burn. Note that this burn timing l

phenomenon does not have the same effect on the peak containment temperatures l

which are monotonically increasing with core percent as shown in Table 2.

]

Beyond r,g-40% is the third regime of the curve. The peak pressures in this l

regime for case 2 (t -10) diverge significantly from those of case 1 (tg-0.3).

d is attributed to differing availabilities of hydrogen in the divergence This dome at late times (near the end of and following the vessel blowdown).

upper i

During debris ejection, the gas reaches the temperature of the debris for core i

ej ection fractions above 40 percent in both cases. Consequently, further increase in the ejection debris mass cannot result in further heating of the

]

atmosphere during the debris ejection phase.

Therefore, predicted peak

)

pressures for cases above 40t core ejection will primarily depend upon the i

amount of debris in the atmosphere after the debris ejection. Following the gas temperature in the lower cavity drops in case 1 due to the ejection, the rapid fall out of the debris.

On the other hand, in case 2, considerable amounts of debris remain in the atmosphere following the ejection as a consequence of the slow fractional trapping rate.

Since this debris is a reservoir of thermal energy incoming steam continues to be heated, which thereby increases the driving force that pushes hydrogen through the ice 1

l i

i m...-..-__

c

..._.__._,_-..___,_.._,_,__._.~.._,m,.

i' i 5

condenser and into the upper done.

In case 1 the peak pressure reaches a j

plateau beyond 404 core ejection as a result of a saturation of this driving r

force.

That is, the amount of debris in the atmosphere following the debris ejection. phase is insufficient to further heat the vapor in the lower cavity.

\\

'l i

Table 2 CONTAIN Predictions of Peak Pressure and Temperature in Sequoyah Containment for a TM13' DCH Scenario, I

t =0.3 e -10.0 d

d Percent Peak Peak Temperature Peak Peak Temperature j

Core Pressure T(1) T(2) T(3)

Pressure T(1) T(2) T(3)

(t)

(bars)

(K)

(K)

(K)

(bars)

(K)

(K)

(K) 0 2.74 430 438 394 2.74 430 438 394 l

10 3.23 1254 915 477 3.32 1456 1035 504 3.58 1647 1154 548 15 20 3.61 1666 1107 528 5.81 1816 1235 1182 i

25 5.60 1803 1172 1128 30 6.21 1919 1226 1177

.7.26 2070 1342 1317 35 6.86 2010 1257 1247 40 7.18 2088 1298 1280 7.36 2246 1417 1338 l

50 6.90 2217 1351 1320 7.78 2283 1489 1415 i

75 6.72 2387 1478 1339 9.03 252:

1560 1663 100 6.95 2436 1557 1408 10.55 2865 2066 2076 4,3 Conclusions There is no question that there are many complexities to the DCH i

j problem, and 'that in many respects the simplifications inherent in the IDHM modeling (and in other parts of the CONTAIN code) are inadequate 4

)

representations of the phenomena.

Ultimately, we must depend on an improved experimental data base for improvements in some areas of our understanding.

However, in the meantime, the system-level analysis l

which the CONTAIN code affords makes it possible to make the connection between the existing knowledge base and the operating reactor situation.

l The uncertainties in our knowledge can, in many cases, be represented by t

ranges of the user-specified input parameters.

The understanding thereby gained can help guide the experimental program and future model development activities, as well as provide decision makers with interim assessments of the implications of DCH on reactor safety.

l l

Three important conclusions emerge from the sensitivity studies which l

have been described here.

First, the most important metal oxidation i

t l

l l

l

. 1 reaction is the steam metal reaction, a consequence of local oxygen starvation in the vicinity of the debris when it is first ejected, and of the rapid chemical reaction rates. A somewhat unexpected aspect of this issue is the importance of the iron / steam reaction, which in itself not particulary exothermic, and is usually limited under more normal is accident conditions by oxide crust formation, but which proceeds in these calculations because of high ambient gas temperatures.

second conclusion concerns the importance of hydrogen combustion in The DCH scenarios. The quantities of hydrogen generated by these processes are extremely large, and the generation rates are unprecedented in safety analysis.

In ice-condenser plant, the pressure rise due rasctor debris-gas heat transfer is often not as large as the pressure rises to from the subsequent hydrogen burns.

Uncertainty about the mode of hydrogen combustion, and the various criteria for combustion, therefore, has become a major concern for DCH analysis.

Finally, the third important conclusion is that, for Sequoyah, the details of intermediate debris transport--de-entrainment, re-entrain-
ment, sticking, bouncing, and so on--which have tended to dominate DCH discussions in the past, may be less important than we have previously rather vide range of our debris de-entrainment time believed.

Over a parameter, the sensitivity of peak pressure was not very large. This of course, due to the importance of the hydrogen generation result is, and combustion processes discussed in the previous two paragraphs.

While one cannot conclude that intermediate debris transport is unimpor-cant for this or any other plant, the reduced sensitivity to this aspect of the problem can have important implications for future research activities and current assessments for regulatory applications.

I 4

I f

1 i

l l.

.-._,_._._,,_.,._m.__-,_._,,

m._,,

_. _. _..., _,, _ -....,. ~ _ _. _,.. -,,,

17-

/////H l

ENGINEERED.. ?*:.:'.

/ g *.

SAFETY

/ j,*.,

FEATURES i

[ CONDENSATION EVAPORATION J h TWO PHASE THERMODYNAMICS AEROSOL EVOLUTION AND FLOW i

MYDROGEN SURN RADIOISOTOPE TRANSPORT AND DECAY TERCRL a

FLOW i

STRUCTURE HEAT TRANSFER

/ a - _-

l 1

i i

l h

i l

D

  1. .' N.:+.

c._,_ _..-

i REACTOR CAYlTY PHENOMENA i

\\

FIGURE 1.

SCHEMATIC DIAGRAM OF

\\

PHENOMENA ANALYZED IN THE CONTAIN CODEA. CONT i

i INDICATING THE I

,--%y-pe

,,-----w9-,,---v-,+

-__%-._w%,_,---,,,-,,__ym,.c m,,7m-

,-,y,.y.-.

.,,-,w-,w--..,w.w=vy-e-ww,,ve

l 3

l

+

+

2 2

~

1 I

1 Compartment Descriptors 1.

Lower compartment 2.

Ice compartment 3.

Upper compartment (Dome)

Figure 2.

SCHEMATIC DIACRAM OF THE CONTAIN 3 0 ELL NODALIZATION OF THE SEQUOYAH ICE CONDENSER CONTAINMENT.

I j

1, 11.0 s

i l

10.0 -

1 i

9.0-8.0-1 v

7.0-l l

6.0-en in o

5.0-1 L.

Q 4.0 -

.M a ta = 10.0 g

l g

3.0 ;

4 = 0.30 2.0-1 i

l 1.0-i 0.0 i

i 0.0 20.0 40.0 60.0 80.0 100.0 Percent Core Melt-Ejection 1

l Figure 3.

CONTAIN Prediction of Peak Pressure in Sequoyah Contaisument for a TMt.B' DCH Scenario. Results for 2 Values of Debris 4

De-Entrainment Time, e I'**)' *** 8 d

i

\\

t).f,2l

~)

\\

Sandia National Laboratories j

Albuquerque, New Mexico 87185 E

September 26, 1986 I

Dr. Thomas J. Walker NRC/RES i

7915 Eastern Avenue Silver Spring, MD 20910

Dear Dr. Walker,

't you and I have discussed on the phone, we have just completed As a

number of Direct Containment Heating (DCH) calculations with the CONTAIN code as part of our support for SASA, and this with some of the highlights.

Details letter will provide you you know, in a forthcoming NUREG report.

How-l will

appear, asof the interest which Tim Lee and Farouk Eltawila
ever, because have shown in this work in regard to their NUREG-ll50 issue l
paper, we are providing this summary immediately, in the hopes i

that it will be of use right away.

t new work is an extension of the sensitivity study which Dave l

The Williams reported in his American Chemical Society conference

paper, of which you have a copy.

What we have done is select a s

l number of his parameter variations for Surry and performed the on the sequoyah plant.

In addition, a few new i

same variations variations were performed for both Surry and Sequoyah.

parameter this way we can directly compare the plant specificity of the I

In modeling sensitivities.

The resulting matrix of calculations interesting insights on the DCH problem and provides some very d

adds to our growing understanding of the importance of different j

phenomena and plant characteristics.

representative result is shown in the attached Figure 1, which Ais the pressure-time history around the time of vessel breach for For this study, all the assumptions and parameter the Base Case.

choices described in Williams paper were also applied, so you can complete description of the conditions of the calculation get a

by referring to it.

Only plant-specific aspects changed; e.g.,

of corium ejected was scaled to the core size (but was 4

the mass still chosen to be 75%

of the core mass in the hase case).

Plant-specific parameter choices are described in my recent letter to Mel Silberberg (dated September 2, 1986).

Two options for hydrogen combustion modeling were exercised for These are burn model "a", which is the r

all parameter variations. ignition, completeness, and propagation default model for all criteria in CONTAIN (as taken from HECTR).

The alternative model "b"

is described in the paper as " prescribed burn".

In this starting two seconds afthr vessel i

hydrogen is burned,there is oxygen, regardless'of concentrations model all

failure, whenever of steam, hydrogen, and oxygen in the cell.

As explained in the l

l

- 57enfomerg

=

'PP 1

j i

d Dr. Walker September 26, 1986

paper, this model may be more reasonable than the default model because of the presence of hot gas and hot debris.

In any case, we feel the two choices "a" and "b" are bounding on this impor-tant uncertainty.

The parameter variations are summarized in Table I.

A total of 8 variations are reported there for each plant and each burn op-tion.

Thus, with the base case, the total number of calculations is 36.

We present only the peak pressure (P,,x) and the ratio o

is the nominal failure pressure for each plant.

P,,g/P, where Pf f

We arbitrarily selected the failure pressures to be 135 psia for Surry and 60 psia for Sequoyah, consistent with SARRP studies (though there is a

lot of uncertainty about these numbers).

Details about other parameters (e.g. temperatures in different compartments) will be provided in the NUREG report, but this summary provides an at-a-glance picture of what the key uncer-tainties are.

The extent of each parameter variation was l

selected somewhat arbitrarily as being within the range of 1

uncertainty.

These are not bounding ranges, in general.

If one had uncertainty ranges on the parameters, it would be straight-forward to estimate resulting ranges in the peak pressure by linear extrapolation from the results in Table I.

~In general, the results in the table are self-explanatory, but a few key issues should be noted.

The debris de-entrainment times t

used were based on the scaling relation that Dave Williams d

used, but he described it in terms of a fractional trapping rate.

This is just the inverse of the de-entrainment time used in Table I.

Our approach here is in contrast with the Sepoyah study reported in the above-mentioned letter to Mel, which used the

. same t

in each cell.

Another important difference was that in d

i the earlier Sequoyah study, we did not include drop side limita-i tions on mass transfer.

However, this was shown by Dave not to i

i be of crucial importance in most cases.

Finally, the earlier Sequoyah study had a different debris composition, being based on BMI-2104

results, rather than Containment Loads Working Group j

Standard Problem 2, which is the basis for the results reported in Table I.

Please let me know if you have any questions on this material.

Sincerely, i

K~kv~~

Kenneth D. Bergeron, Supervisor Containment Modeling Division 6449 KDB:6449:mm l

l l

j

J Dr. Walker September 26, 1986.

Copy to:

NRC/RES T. Lee NRC/RES P. Wood NRC/RES J. Mitchell NRC/RES R. Meyer NRC/NRR F. Eltavila 6440 D. A. Dahlgren 6449 K. E. Washington 6449 D. C. Williams 6449 File 3.7 i

S i

l

Sequoyah Pressure History Predictions for TMLB' DCH Scenario with CONTAIN - IDHM (base case) 120.0 Default H-burn


Continuous H-burn 100.0 -

~ ~ ~ ~ ~.

3 m

,m p.,

80.0 -

f l

0

/

U En l

60.0 -

./

u O-.

40.0 -

20.0 i

i i

9400.0 9410.0 9420.0 9430.0 9440.0 Time (sec)

f P

0 8

2 0

2 2

8 5

2 6

3 1

1 8

0

/g 7

4 5

"b 1

1 1

1 2

1 1

1 1

P nr t

u n

B x

6 7

9 4

7 7

5 1

1 a

a 9

0 7

8 2

6 9

1 6

l m

1 1

1 P

P h

a y

o g

u P

3 8

5 4

5 2

3 7

7 8

8 9

8 0

q

/

8 7

5 5

x

"a a

1 1

1 1

2 0

1 1

0 S

a P

nruB 0

7 3

3 3

9 0

8 2

1 0

9 9

2 4

1 1

5 1

1 1

1 1

P f

P 0

6 0

7 3

2 5

6 2

3 0

2 0

0 9

9 8

/

0 x

b a

1 1

0 0

1 0

1 1

1 a

P nru B

x 5

2 3

0 9

1 2

9 7

t a

3 4

2 3

7 1

4 6

3 n

a 1

1 1

1 1

1 1

1 1

a P

lP I

y r

f r

P 8

5 9

4 3

4 6

5 4

E 6

6 L

u

/

7 8

7 0

7 9

7 B

x S

"a a

0 0

0 0

1 0

0 0

0 AT a

P nr uB x

5 5

3 0

8 6

3 7

0 a

0 1

9 0

3 8

0 2

0 a

1 1

1 1

1 1

1 P

no i

m

)

t o

f m

c r

r P

o n

a f

e

(

r w

r t

)

f o.

f n

r a

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dc 5

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w e

s we t2 i

t r

a n

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t a

d u

b a

l e0 a

w e

s aa im b0 j

d s

s ii

(

n g

dm 1

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d r

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nd m

t x0 ge e

r pp i

g it p0 ao e

o3 ks p

P t

n p

o.

et r5 r

s 05 a

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p1 r1 t

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s p

a.

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Z Ep Ed r

1 r

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r0 o

3 0

o 0s 0-u a

c a

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t s

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ar ar a.

do dg F y:

a o

at h0 hf hf h0 dc dk oy B

N F

C C

C C

A A

d ur e qr m eu u Ss e

s 1

2 3

4 5

6 7

8 9

ss a

A C

J l

1 I

Surry DHEAT2 Calculations Without Blowdown Steam and no Stearn Spike 2400.0 16.0 l

n

,... ~...

  • Pressure 14.0 l

= Temperature

  • .. ~.. m-2000.0 q g

v L

12.0 d

a)

L CQ g

v 10.0 1600.0 a

e d

L L

U q) a 8.0 C

O L

L 1200.0 $

CL 6.0

~

d

~

g

.6 CE

~

E 4.0 800.0 2.0 0.0 /

400.0 i

i i

i 0.0 20.0 40.0 60.0 80.0 100.0 Percent Core Melt-Ejection 1

Surry DHEAT2 Calculations With Blowdown Steam and no Steam Spike

, 2400.0 16.0

  • Pressure 14.0

= Temperature 2000.0 2

'W L

12.0 n

v

.... s *... -

q) d CO g

v q) 10.0 1600.0 a

M D

' '. = ~

c)a 8.0 d

, ~.. =

1200.0 $

C q)u cL 6.0

-d dC C

C C

4.0,

800.0 2.0

,s' 0.0 :f' 400.0 i

i i

0.0 20.0 40.0 60.0 80.0 100.0 Percent Core Melt-Ejection


-