Analysis of molten metal spreading and solidification behaviors utilizing moving particle full-implicit method
Ryo YOKOYAMA, Masahiro KONDO, Shunichi SUZUKI, Koji OKAMOTO
Analysis of molten metal spreading and solidification behaviors utilizing moving particle full-implicit method
To retrieve the fuel debris in Fukushima Daiichi Nuclear Power Plants (1F), it is essential to infer the fuel debris distribution. In particular, the molten metal spreading behavior is one of the vital phenomena in nuclear severe accidents because it determines the initial condition for further accident scenarios such as molten core concrete interaction (MCCI). In this study, the fundamental molten metal spreading experiments were performed with different outlet diameters and sample amounts to investigate the effect of the outlet for spreading-solidification behavior. In the numerical analysis, the moving particle full-implicit method (MPFI), which is one of the particle methods, was applied to simulate the spreading experiments. In the MPFI framework, the melting-solidification model including heat transfer, radiation heat loss, phase change, and solid fraction-dependent viscosity was developed and implemented. In addition, the difference in the spreading and solidification behavior due to the outlet diameters was reproduced in the calculation. The simulation results reveal the detailed solidification procedure during the molten metal spreading. It is found that the viscosity change and the solid fraction change during the spreading are key factors for the free surface condition and solidified materials. Overall, it is suggested that the MPFI method has the potential to simulate the actual nuclear melt-down phenomena in the future.
molten metal spreading / solidification / particle method / severe accident / fuel debris / decommissioning
[1] |
TEPCO. Unit 3 Primary Containment Vessel Internal Investigation. 2017, available at the website of tepco.co.jp
|
[2] |
TEPCO. Fukushima Daiichi Nuclear Power Station Unit 2 primary containment vessel internal investigation results. 2018, available at the website of tepco.co.jp
|
[3] |
Pellegrini M, Dolganov K, Herranz E,
CrossRef
Google scholar
|
[4] |
Sehgal B R. Nuclear Safety in Light Water Reactors-severe Accident Phenomenology. USA: Academic Press, 2012
|
[5] |
Veteau J M, Wittmaack R. CORINE experiments and theoretical modelling. In: Van Goetem G, Balz W, Della Loggia E, eds. FISA 95 EU Research on Severe Accidents, Office Official Publ. Luxembourg: Europ. Communities, 1996, 271–285
|
[6] |
Green G A, Finrock C, Klages J,
|
[7] |
Dinh T N, Konovalikhin M J, Sehgal B R. Core melt spreading on a reactor containment floor. Progress in Nuclear Energy, 2000, 36(4): 405–468
CrossRef
Google scholar
|
[8] |
Suzuki H, Matsumoto T, Sakaki I,
|
[9] |
Eppinger B, Fieg G, Schuetz W, Stegmaier U. KATS experiments to simulate corium spreading in the EPR core catcher concept. In: Proceedings of the 9th International Conference on Nuclear Engineering (ICONE-9), Nice Acropolis, France, 2001, 32068804
|
[10] |
Alsmeyer H, Cron T, Messemer G,
|
[11] |
Alsmeyer H, Crin T, Foit J J,
|
[12] |
Steinwarz W, Alemberti A, Häfner W,
CrossRef
Google scholar
|
[13] |
Tromm W, Foit J J, Magallon D. Dry and wet spreading experiments with prototypic materials at the FARO facility and the theoretical analysis, 2000, Germany. FZKA, 2000, 6475: 178–188
|
[14] |
Journeau C, Boccaccio E, Brayer C,
CrossRef
Google scholar
|
[15] |
Alsmeyer H, Albrecht G, Fieg G,
CrossRef
Google scholar
|
[16] |
Ogura T, Matsumoto T, Miwa S,
CrossRef
Google scholar
|
[17] |
Matsumoto T, Sakurada K, Miwa S,
CrossRef
Google scholar
|
[18] |
Ogura T, Matsumoto T, Miwa S,
CrossRef
Google scholar
|
[19] |
Sahboun N, Miwa S, Sawa K,
CrossRef
Google scholar
|
[20] |
Yokoyama R, Suzuki S, Okamoto K,
CrossRef
Google scholar
|
[21] |
TEPCO. Locating fuel debris inside the unit 3 reactor using a muon measurement technology at Fukushima Daiichi nuclear power station. 2017–9–28, available at the website of tepco.co.jp
|
[22] |
Huppert H. The propagation of two-dimensional and axisymmetric viscous gravity currents over a rigid horizontal surface. Journal of Fluid Mechanics, 1982, 121: 43–58
CrossRef
Google scholar
|
[23] |
Foit J J. Spreading under variable viscosity and time-dependent boundary conditions: estimate of viscosity from spreading experiments. Nuclear Engineering and Design, 2004, 227(2): 239–253
CrossRef
Google scholar
|
[24] |
Farmer T, Sienicki J, Chu C,
|
[25] |
Wittmaack R. Coreflow: a code for the numerical simulation of free-surface flow. Nuclear Technology, 1997, 119(2): 158–180
CrossRef
Google scholar
|
[26] |
Spindler B, Veteau J M. The simulation of melt spreading with THEMA code. Nuclear Engineering and Design, 2006, 236(4): 415–424
CrossRef
Google scholar
|
[27] |
Allelein H, Breest A, Spengler C. Simulation of core melt spreading with LAVA: theoretical background and status of validation. In: Proceedings of the OECD Workshop on Ex-vessel Debris Coolability, Karlsruhe, Germany, 1999, FZKA6747
|
[28] |
Koshizuka S, Oka Y. Moving particle semi-implicit method for fragmentation of incompressible fluid. Nuclear Science and Engineering, 1996, 123(3): 421–434
CrossRef
Google scholar
|
[29] |
Kawahara T, Oka Y. Ex-vessel molten core solidification behavior by moving particle semi-implicit method. Journal of Nuclear Science and Technology, 2012, 49(12): 1156–1164
CrossRef
Google scholar
|
[30] |
Li G, Oka Y, Furuya M. Experimental and numerical study of stratification and solidification/melting behaviors. Nuclear Engineering and Design, 2014, 272: 109–117
CrossRef
Google scholar
|
[31] |
Chai P, Erkan N, Kondo M,
|
[32] |
Yamaji A, Li X. Development of MPS method for analyzing melt spreading behavior and MCCI in severe accident. Journal of Physics: Conference Series, 2016, 739: 012002
|
[33] |
Chai P, Kondo M, Erkan N,
CrossRef
Google scholar
|
[34] |
Jubaidah D G, Duan G, Yamaji A,
CrossRef
Google scholar
|
[35] |
Kondo M. A physically consistent particle method for incompressible fluid flow calculation. Computational Particle Mechanics, 2021, 8(1): 69–86
CrossRef
Google scholar
|
[36] |
Kondo M, Ueda S, Okamoto K. Melting simulation using a particle method with angular momentum conservation. In: Proceedings of the 2017 25th International Conference on Nuclear Engineering, Shanghai, China, 2017
CrossRef
Google scholar
|
[37] |
Monaghan J J. Simulating free surface flows with SPH. Journal of Computational Physics, 1994, 110(2): 399–406
CrossRef
Google scholar
|
[38] |
Spencer D B, Mehrabian R, Flemings M C. Rheological behavior of Sn-15 Pct Pb in the crystallization range. Metallurgical and Materials Transactions B, Process Metallurgy and Materials Processing Science, 1972, 3(7): 1925–1932
CrossRef
Google scholar
|
[39] |
Joly P A, Mehrabian R. The rheology of a partially solid alloy. Journal of Materials Science, 1976, 11(8): 1393–1418
CrossRef
Google scholar
|
[40] |
Ramacciotti M, Journeau C, Sudreau F,
CrossRef
Google scholar
|
[41] |
Kondo M. Development of surface tension model with many-body potential. In: International Conference on Particle-based Methods – Fundamentals and Applications (Particles 2017), Hannover, Germany, 2017, 461–470
|
/
〈 | 〉 |