EDN: HRSLIS
Authors & Affiliations
Tomashchik D.Yu.
 
Nuclear Safety Institute, Russian Academy of Sciences, Moscow, Russia
 
 Tomashchik D.Yu. – Senior Researcher. Contacts: 52, Bolshaya Tulskaya st., Moscow, 115191, Russia. Tel.: +7 (495) 955-22-73; e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it..
Abstract
The safety justification of a NPP is an integral part of its operating conditions. For severe accidents (SA), especially in the case of a primary coolant leak, the pressure in the containment largely determines the dynamics of uncovering and overheating of the core, the conditions of claddings failure and the subsequent release of radioactive substances. In Russia, the SOKRAT code has been developed for modeling SA at NPPs with VVER reactors. The CONT_TH module as part of the SOKRAT code is certified for calculating the pressure, temperature and composition of the gases in the multi-compartment containments. The model content of CONT_TH, which relates to codes with lumped parameters (LP), allows one to describe such processes as the destruction of stratified layers due to buoyancy and momentum, and to describe the operation of existing and future passive safety systems. For low-power nuclear power plants (LPNP), the module includes accounting for flooding of part of the compartments with water and calculation of gas phase parameters at pressures above 10 bar. The paper provides a description of the most important models of the module, and compares the calculated data with experimental data of CFD quality and calculations using CFD and LP codes for a series of 5 tests on the PANDA facility. The module is used for deterministic calculations in support for PSA-2.
Keywords
pressure, temperature, mole fraction, hydrogen, stratification, integral codes, severe accident, SOKRAT, containment, VVER, PSA-2
 Article Text (PDF, in Russian)
 References
  
  - Bolshov  L.A., Dolganov K.S., Kiselev A.E., Strizhov V.F. Results of SOCRAT code  development, validation and applications for NPP safety assessment under severe  accidents. NuclearEngineering and Design, 2019, vol. 341, pp. 326–345.
- Efanov  A.D. Raschetno-eksperimental'noye obosnovaniye bezopasnosti AES s VVER pri  avariyakh s poterey teplonositelya iz reaktornogo kontura. Avtoreferat  diss. dokt. tekhn. nauk [Calculation  and experimental substantiation of safety of NPPs with WWER during accidents  with loss of coolant from the reactor circuit. Abstract diss. dr. tech. sci.].  Obninsk, 2000. 46 p. 
- Zaitsev A.A. Teplogidravlicheskoye  obosnovaniye zashchitnykh obolochek AES s VVER. Diss. cand. tekhn. nauk [Thermal-hydraulic substantiation of  protective shells of NPPs with WWER. Diss. cand. tech. sci.]. Obninsk, 2005. 156 p. 
- Semashko  S.E. Obosnovaniye sistemy passivnogo otvoda tepla iz ob"yema  zashchitnoy obolochki AES s VVER. Diss. cand. tekhn. nauk [Justification of the passive heat removal  system from the containment volume of NPPs with WWER. Diss. cand. tech. sci.].  Sankt-Peterburg, 2013. 198 p. 
- Khizbullin  A.M. Razrabotka i  raschetno-eksperimental'nyye issledovaniya passivnoy sistemy avariynogo otvoda  tepla iz zashchitnoy obolochki YAEU. Diss. cand. tekhn. nauk [Development and calculation and  experimental studies of a passive system for emergency heat removal from the  containment of a nuclear power plant. Diss. cand. tech. sci.]. Nizhniy Novgorod, 2012. 188 p.
- Dabbene  F. et al. Experimental activities on stratification and mixing of a gas mixture  under the conditions of a severe accident with intervention of mitigating  measures performed in the ERCOSAM-SAMARA Project. Proc. of ICAPP 2015.  Nice, France, 2015. Paper 15148.
- Mignot G., Kapulla R.,  Paranjape S., Zboray R., Fehlmann M., Bissels W., Paladino D. Test Report  for Test Pe1 Hollow Cone Spray Test. ERCOSAM/WP3/P3.7A/2012-17, PSI  TM-42-12-11-1, 2013.
- Paranjape S., Mignot G.,  Kapulla R., Zboray R., Fehlmann M., Bissels W., Paladino D. Test Report for  Test Pe2 Full Cone Spray Test. ERCOSAM/WP3/P3.7B/2013-03, PSI  TM-42-13-03-1, 2013.
- Mignot G., Paranjape S.,  Kapulla R., Zboray R., Fehlmann M., Bissels W., Paladino D. Test Report for  Test Pe3 Cooler Test With Wall Condensation. ERCOSAM/WP3/P3.7C/2013-04, PSI  TM-42-13-10-1, 2013.
- Zboray R., Paranjape S., Mignot G., Kapulla R.,  Fehlmann M., Bissels W., Paladino D. Test Report For Test Pe5 Cooler Test.  ERCOSAM/WP3/P3.7E/ 2013-05, PSI TM-42-13-05-1, 2013.
- Mignot G., Kapulla R., Paladino D., Paranjape S.,  Zboray R., Fehlmann M., Bissels W. Test Report For Test Pe4 Heat Source Test.  ERCOSAM/WP3/P3.7D/ 2012-13, PSI TM-42-12-09-1, 2013.
- Paladino D., Andreani M., Guentay  S., Mignot G., Kapulla R., Paranjape S., Sharabi M., Kisselev A., Yudina T. et  al. Outcomes from the EURATOM–ROSATOM ERCOSAM SAMARA projects on containment  thermal-hydraulics for severe accident management. Nuclear Engineering and  Design, 2016, vol. 308, pp. 103–114.
- OECD/NEA THAI Project. Hydrogen and Fission Product Issues  Relevant for Containment Safety Assessment under Severe Accident Conditions.  Final Report. NEA/CSNI/R(2010)3, 10 June 2010.
- SOKRAT  V1/V2. Attestacionnyy pasport programmy dlya EVM, No. 564,  Moskva: Federal'naya sluzhba po ekologicheskomu, tekhnologicheskomu i atomnomu  nadzoru (Rostekhnadzor) [Certification passport of the computer program  SOCRAT-V1/V2, No. 564, Moscow: Federal Service for Environmental, Technological  and Nuclear Supervision (Rostechnadzor)], 2022. 
- Labuntsov D.A., Yagov V.V. Mekhanika  dvukhfaznykh sistem: Uchebnoye posobiye dlya vuzov [Mechanics of two-phase systems: Textbook for  universities]. M.: Izdatel'stvo  MEI Publ., 2000.
- Caretto L.S., Gosman A.D., Patankar S.V.,  Spalding D.B. Two calculation procedures for steady, three-dimensional flows  with recirculation. In: Cabannes H., Temam R. (eds) Proc. of the Third  International Conference on Numerical Methods in Fluid Mechanics. Lecture  Notes in Physics, vol. 19.  Berlin, Heidelberg: Springer, 1973.
- Wang J., Cao X., Meng Z., Ding M. A  Hybrid Semi-implicit Method of 1D Transient Compressible Flow for  Thermal-Hydraulic Analysis of (V)HTR Gas Turbine Systems. Frontiers Media  S.A., series: Frontiers in Energy Research. 2018.
- Kirillov P.L., Yuriev Yu.S., Bobkov  V.P. Spravochnik po  teplogidravlicheskim raschetam. Moscow,  Energoatomizdat Publ., 1990.
- Sparrow E.M., Eichhorn R., Gregg  J.L. Combined Forced and Free Convection in a Boundary Layer Flow. The  Physics of Fluids, 1959, vol 2, no. 3, pp. 319–328.
- MELCOR Computer Code Manuals Rev.2. Vol. 2. NUREG/CR-6119, 2000.
- Acherkan N.S. Spravochnik mashinostroitelya. Tom 2 [Handbook of Mechanical Engineer. Vol. 2]. Moscow, 1955. 799 p.
- Ermolaev A.A. Teoreticheskiye  osnovy teplotekhniki [Theoretical  Foundations of Heat Engineering]. Moscow, Gosudarstvennoye energeticheskoye izdatel'stvo Publ., 1957. 350 p.
- The Electronics Handbook. Second Edition. Edi. Whitaker J.C.  California, USA: Technical Press, Morgan Hill, 2005.
- Kutateladze S.S. Teploperedacha i  gidrodinamicheskoye soprotivleniye [Heat Transfer and Hydrodynamic Resistance]. Moscow, Energoatomizdat Publ., 1990. 367 p.
- Lloyd J.R., Moran W.R. Natural  Convection Adjacent to Horizontal Surface of Various Planforms. J. Heat  Transfer, 1974, vol. 96(4), pp. 443–447.
- Rogov V.P. Koeffitsiyent soprotivleniya  chastits i kapel' [Drag Coefficient of Particle and Droplet  Resistance]. Nauchnye trudy Dalrybvtuza – Scientific Works of Dalrybvtuza, 2007, vol. 19, pp. 95–105. 
- Melissari B.В., Argyropoulos  S.A. Development of a heat transfer dimensionless correlation for spheres  immersed in a wide range of Prandtl number fluids. Int. J. of Heat and Mass  Transfer, 2005, vol. 48, pp. 4333–4341.
- Pazhi D.G., Galustov V.S. Osnovy  tehniki raspylivaniya zhidkistey [Fundamentals of Liquid Spraying Technique]. Moscow, Khimiya Publ. 1984. 254 p.
- Revised Release on the IAPWS Industrial Formulation 1997 for the  Thermodynamic Properties of Water and Steam. IAPWS R7-97  2012. 
- Bershnayder S. Svoystva gazov i  zhidkostey [Properties of  gases and liquids].  Moscow, Khimiya Publ. 1984. 254 .
- Rid R., Prausnits Dzh., Shervud T. Svoystva  gazov i zhidkostey. 3-ye izdaniye [Properties of gases and liquids. 3rd edition]. Leningrad, Khimiya Publ., 1982. 592 p.
- Lindsay A.L., Bromley  L.A. Thermal Conductivity of Gas Mixtures. Industrial and Engineering  Chemistry, 1950, vol. 42, no. 8, pp. 1508–1511.
- Hirschfelder  J.О., Bird R.B., Spotz  E.L. The transport properties of gases and gaseous mixtures. Madison:  Naval Research Laboratory, University of Wisconsin, 1948.
- Mason E.A., Monchick L. Transport Properties of Polar-Gas Mixtures. J.  Chem. Phys. 1962,  vol. 36, pp. 2746–2757. DOI: https://doi.org/10.1063/1.1732363.
- Paganelli C.V., Kurata F.K. Diffusion of water vapor in  binary and ternary gas mixtures at increased pressures. Respir. Physiol.,  1977, vol. 30(1-2), pp. 15–26. DOI: 10.1016/0034-5687(77)90018-4. 
- Mignot G., Erkan N., Kapulla R., Paladino D.,  Paranjape S., Zboray R., Fehlmann M., Wellauer C., Bissels W. OECD/NEA ERCOSAM. PANDA Facility Description. Tech. Rep. TM-42-11-12-3. Villigen-PSI, Switzerland: Paul Scherrer Institut,  2013.
- Mignot G., Kapulla R.,  Paranjape S., Zboray R., Fehlmann M., Bissels W., Paladino D., Suter S. OECD/NEA HYMERES project: PANDA test facility  description and geometrical specifications. Tech. Rep. TM-42-13-12,  HYMERES-P-13-03. Villigen-PSI, Switzerland: Paul Scherrer Institut, 2013.
- Malet J. Containment thermal-hydraulics of  current and future LWRs for severe accident management. Summary report  (phenomenology and code capabilities). DELIVERABLE (D-N°:4.1). IRSN Report  PSN-RES/SCA/2014-01, 2014.
- Malet J. et al. Synthesis of stratification and mixing of a gas  mixture under severe accident conditions with intervention of mitigating  measures. Proc. of ICAPP 2015. Nice, France, May 03–06, 2015, paper 15381. 
  
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