Abstract
In the course of severe accidents (SA) with the core melting, such a phenomenon as the energetic interaction of the melt with the coolant (steam explosion) may occur, which threatens the reactor vessel integrity and can be a trigger for hydrogen explosion. One of the main parameters determining the power of a steam explosion is the conversion ratio CR (another common designation is δ). The CR is the melt energy fraction converted into mechanical work as a result of the postulated steam explosion. In this study, the results of more than 190 experiments simulating the melt–coolant interaction are considered using the prototype corium melt (TROI, FARO, KROTOS-KFC, ZREX, ANL) and the non-prototypical melts (KROTOS Huhtiniemi, MISTEE, SUW, WUMT, MIXA, EXPO-FITS, FITS, ALPHA, WFCI, etc.). On the basis of the results of this study, the dependences of the maximum value of the conversion ratio on the following parameters were obtained: the melt mass reduced to the coolant mass (Mm/Mf); the ratio of the reduced value of the coolant subcooling to the saturation temperature to the reduced value of the melt overheating above the melting temperature to the melting temperature (\(\overline {\Delta {{T}_{f}}} {\text{/}}\overline {\Delta {{T}_{m}}} \)); the ratio of components in the corium (Zr, UO2, and others). The dependences obtained are supposed to be used to specify existing semiempirical procedures for assessment of the power of steam explosions in order to decrease their conservativeness in the framework of safety justification for operating NPP and those to be designed with VVER reactor plants.
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REFERENCES
V. V. Astakhov, A. V. Nikolaeva, D. L. Gasparov, S. I. Pantyushin, et al., Izv. Rosiiskoi Akad. Nauk, Energetika, No. 5, 42 (2018). https://doi.org/10.31857/S000233100003214-9
A. V. Nikolaeva, D. L. Gasparov, S. I. Pantyushin, et al., Tyazh. Mashinostr., No. 11–12, 39 (2016).
A. V. Nikolaeva, V. V. Astakhov, D. L. Gasparov, S. I. Pantyushin, et al., Vopr. At. Nauki Tekh., Ser.: Fiz. Yad. Reakt. 1, 5 (2017).
Deterministic Safety Analysis for Nuclear Power Plants. SSG-2 (Rev. 1) (IAEA, 2019).
J. H. Song, I. K. Park, Y. S. Shin, J. H. Kim, S. W. Hong, B. T. Min, and H. D. Kim, Nucl. Eng. Des. 222, 1 (2003). https://doi.org/10.1016/s0029-5493(02)00388-6
M. Schroder, Three-Dimensional Modeling and Simulation of Vapor Explosion in Light Water Reactors (2012).
S. Hermsmeyer, P. Pla, and M. Sangiorgi, Nucl. Eng. Des. 286, 246 (2015). https://doi.org/10.1016/j.nucengdes.2015.02.016
H.-S. Park, R. Chapman, and M. L. Corradini, Vapor Explosions in a One-Dimensional Large-Scale Geometry with Simulant Melts. NUREG/CR-6623 (Univ. of Wisconsin-Madison, 1999).
Identification of Relevant Conditions and Experiments for Fuel-Coolant Interactions in Nuclear Power Plants. SERENA Co-ordinated Programe (Steam Explosion Resolution for Nuclear Applications), NEA/CSNI/R (2004).
D. H. Cho, D. R. Armstrong, and W. H. Gunter, Experiments on Interactions Between Zirconium-Containing Melt and Water (ZREX): Hydrogen Generation and Chemical Augmentation af Energetics. CONF-9705/87 (1997).
T. N. Dinh, W. M. Ma, A. Karbojian, P. Kudinov, C. T. Tran, and C. R. Hansson, Ex-Vessel Corium Coolability and Steam Explosion Energetics in Nforordic Light Water Reactors (Royal Institute of Technology (KTH), Stockholm, 2008).
H. S. Park, A. K. Nayak, R. C. Hansson, and B. R. Sehgal, Ex-Vessel Coolability and Energetics of Steam Explosions in Nordic Light Water Reactors: EXCOOLSE Project Report (2005).
R. C. Hansson, T. N. Dinh, and L. T. Manickam, Nucl. Eng. Des. 264, 168 (2013). https://doi.org/10.1016/j.nucengdes.2013.02.017
B. D. Turland and G. P. Dobson, Molten Fuel Coolant Interactions/A State of the Art Report/Nuclear Science and Technology (AEA. Technology, Winfrith, UK, 1996).
D. L. Frost and G. Ciccarelli, Propagation Mechanisms of Molten Fuel/Moderator Interactions: Reserch Report, AECB Project No. 2.148.1 (Canada, 1991).
Integral Experiments Data, Databases, Benchmarks and Safety Joint: Projects CSNI2007 STEX II (2010).
M. Leskovar, R. Meignen, C. Brayer, M. Burger, and M. Buck, in Materials of the 2nd European Review Meeting on Severe Accident Research (ERMSAR-2007) (2007), p. 5.
P. W. Bridgman, Dimensional Analysis (Yale Univ. Press, New Haven, Conn., 1932).
P. Shen, W. Zhou, N. Cassiaut-Louis, C. Journeau, P. Piluso, and Ye. Liao, Ann. Nucl. Energy 121, 162 (2018). https://doi.org/10.1016/j.anucene.2018.07.029
T. G. Theofanous, Nucl. Eng. Des. 155, 1 (1995). https://doi.org/10.1016/0029-5493(94)00864-u
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Nikolaeva, A.V., Astakhov, V., Lityshev, A.V. et al. Development of Empirical Correlations for Assessment of the Value of the Conversion Coefficient of Postulated Steam Explosion under Severe Accident at VVER Reactor Plant. Phys. Atom. Nuclei 86, 1935–1942 (2023). https://doi.org/10.1134/S1063778823080264
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DOI: https://doi.org/10.1134/S1063778823080264