Thermal radiation modeling in numerical simulation of melt-coolant interaction

Computational Thermal Sciences

Volumn 1, Issue 1, 2009, Pages 1-35

  Dombrovsky, Leonid A ^a   Davydov, M V ^b   Kudinov, P ^c  

^a JOINT INSTITUTE FOR HIGH TEMPERATURES   (Russian Federation)

^b Electrogorsk Research and Engineering Center on Nuclear Power Plants Safety   (Russian Federation)

^c ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

AMBIENT WATERS; COMPLEX INTERACTION; COMPUTATIONAL CELL; COMPUTATIONAL MODEL; ENGINEERING PROBLEMS; HIGH TEMPERATURE; INTEGRATED CODES; LOCAL APPROACHES; MULTIPHASE DISPERSE SYSTEMS; NON-LOCAL EFFECT; NUMERICAL SIMULATION; PREMIXING STAGE; PROBLEM PARAMETERS; RADIATION HEAT TRANSFER; RADIATION MODELS; RADIATION SOURCE FUNCTIONS; RADIATIVE HEAT TRANSFER; RADIATIVE HEATING; RADIATIVE TRANSFER EQUATIONS; SEVERE ACCIDENT; SPECTRAL RADIATION; TEMPERATURE DIFFERENCES; THERMAL RADIATIONS; TRANSIENT TEMPERATURE; VISIBLE AND NEAR INFRARED;

COMPLEXATION; COMPUTER SIMULATION; COOLANTS; CORE MELTDOWN; HEAT EXCHANGERS; HEAT RADIATION; HEATING; NUCLEAR PROPULSION; NUCLEAR REACTORS; QUANTUM OPTICS; RADIATIVE TRANSFER;

RADIATION EFFECTS;

EID: 77952841376     PISSN: 19402503     EISSN: 19402554     Source Type: Journal    
DOI: 10.1615/ComputThermalScien.v1.i1.10     Document Type: Article

References (62)

1. Abe, Y., Matsuo, E., Arai, T., Nariai, H., Chitose, K., Koyama, K., and Itoh, K., Fragmentation behavior during molten material and coolant interactions, Nucl. Eng. Des., vol.236, no.19-21, pp. 1668-1681, 2006.
2. Abramowitz, M. and Stegun, I. A. (eds.), Handbook of Mathematical Functions, Dover Publ., New York, 1965.
3. Anderson, E. E., Radiative heat transfer in molten UO2 based on the Rosseland diffusion method, Nucl. Technol., vol.30, pp. 65-70, 1976.
4. Annunziato, A., Addabbo, C., and Leva, G., OECD-CSNI International Standard Problem 39 on FARO Test L-14-Reference Specification, Joint Res. Centre Europ. Comiss. Tech. Note, I.96.64, 1996.
5. Berthoud, G., Vapor explosions, Ann. Rev. Fluid Mech., vol.32, pp. 573-611, 2000.
6. Bober, M., Singer, J., and Wagner, K., Determination of the optical constants of liquid UO2 from reflectivity measurements, Proc. 8th Symp. Thermophys. Prop., Gaithersburg, MD, vol.II, pp. 234-244, 1981.
7. Bober, M., Singer, J., and Wagner, K., Bestimmung der Optischen Konstanten von Geschmolzenen Kernbrennstoffen, J. Nucl. Mater., vol.124, pp. 120-128, 1984.
8. Bohren, C. F. and Huffman, D. R., Absorption and Scattering of Light by Small Particles, Wiley, New York, 1983.
9. Brewster, Q., Volume scattering of radiation in packed beds of large, opaque spheres, ASME J. Heat Transfer, vol.126, pp. 1048-1050, 2004.
10. B̈urger, M., Particulate debris formation by breakup of melt jets, Nucl. Eng. Des., vol.236, no.19-21, pp. 1991-1997, 2006.
11. Coquard, R. and Baillis, D., Radiative characteristics of opaque spherical particles beds: A new method of prediction, J. Thermophys. Heat Transfer, vol.18, pp. 178-186, 2004.
12. Davydov, M. V., Melikhov, V. I., and Melikhov, O. I., Numerical analysis of multiphase premixing of steam explosions, Proc. 3rd Int'l Conf. Multiphase Flow (ICMF-98), 8-12 June 1998, Lyon, France, 1998.
13. Dinh, T. N., Bui, V. A., Nourgaliev, R. R., Green, J. A., and Sehgal, B. R., Experimental and analytical studies of melt jet-coolant interactions: A synthesis, Nucl. Eng. Des., vol.189, pp. 299-327, 1999a.
14. Dinh, T. N., Dinh, A. T., Nourgaliev, R. R., and Sehgal, B. R., Investigation of film boiling thermal hydraulics under FCI conditions: Results of analyses and numerical study, Nucl. Eng. Des., vol.189, pp. 251-272, 1999b.
15. Dinh, T. N., Material property effect in steam explosion energetics: Revisited, Proc. 12th Int'l Topical Meeting Nucl. Reactor Therm. Hydraulics (NURETH-12), Sept. 30-Oct. 4, 2007, Pittsburg, paper no. 150, 2007.
16. Dombrovsky, L. A. and Barkova, L. G., Solving the two-dimensional problem of thermal-radiation transfer in an anisotropically scattering medium using the finite element method, High Temp., vol.24, pp. 585-592, 1986.
17. Dombrovsky, L. A., Radiation Heat Transfer in Disperse Systems, Begell House, New York, 1996a.
18. Dombrovsky, L. A., Approximate methods for calculating radiation heat transfer in dis- persed systems, Therm. Eng., vol.43, pp. 235-243, 1996b.
19. Dombrovsky, L. A., Evaluation of the error of the P1 approximation in calculations of thermal radiation transfer in optically inhomogeneous media, High Temp., vol.35, pp. 676-679, 1997.
20. Dombrovsky, L. A., Radiation heat transfer from a spherical particle via vapor shell to the surrounding liquid, High Temp., vol.37, pp. 912-919, 1999.
21. Dombrovsky, L. A., Thermal radiation from nonisothermal spherical particles of a semitransparent material, Int. J. Heat Mass Transfer, vol.43, pp. 1661-1672, 2000a.
22. Dombrovsky, L. A., Radiation heat transfer from a hot particle to ambient water through the vapor layer, Int. J. Heat Mass Transfer, vol.43, no.13, pp. 2405-2414, 2000b.
23. Dombrovsky, L. A., A spectral model of absorption and scattering of thermal radiation by droplets of diesel, High Temp., vol.40, pp. 242-248, 2002a.
24. Dombrovsky, L. A., A modified differential approximation for thermal radiation of semitransparent nonisothermal particles: Application to optical diagnostics of plasma spraying, J. Quant. Spectr. Radiat. Transfer, vol.73, pp. 433-441, 2002b.
25. Dombrovsky, L. A. and Ignatiev, M. B., An estimate of the temperature of semitransparent oxide particles in thermal spraying, Heat Transfer Eng., vol.24, pp. 60-68, 2003.
26. Dombrovsky, L. A. and Sazhin, S. S., A parabolic temperature profile model for heating of droplets, ASME J. Heat Transfer, vol.125, pp. 535-537, 2003a.
27. Dombrovsky, L. A. and Sazhin, S. S., A simplified nonisothermal model for droplet heating and evaporation, Int. Commun. Heat Mass Transfer, vol.30, pp. 787-796, 2003b.
28. Dombrovsky, L. A., The propagation of infrared radiation in a semitransparent liquid containing gas bubbles, High Temp., vol.42, pp. 133-139, 2004.
29. Dombrovsky, L., Randrianalisoa, J., Baillis, D., and Pilon, L., Use of Mie theory to analyze experimental data to identify infrared properties of fused quartz containing bubbles, Appl. Opt., vol.44, no.33, pp. 7021-7031, 2005.
30. Dombrovsky, L. A., Thermal radiation of nonisothermal particles in combined heat transfer problems, Proc. 5th Int'l Symp. Radiat. Transfer, June 17-22, 2007 Bodrum, Turkey (dedication lecture), 2007a.
31. Dombrovsky, L. A., Large-cell model of radiation heat transfer in multiphase flows typical for fuel-coolant interaction, Int. J. Heat Mass Transfer, vol.50, no.17-18, pp. 3401-3410, 2007b.
32. Dombrovsky, L. A., An estimate of stability of large solidifying droplets in fuel-coolant interaction, Int. J. Heat Mass Transfer, vol.50, no.19-20, pp. 3832-3836, 2007c.
33. Dombrovsky, L. A. and Lipínski, W., Transient temperature and thermal stress profiles in semi-transparent particles under high-flux irradiation, Int. J. Heat Mass Transfer, vol.50, pp. 2117-2123, 2007.
34. Dombrovsky, L. A. and Dinh, T.-N., The effect of thermal radiation on the solidification dynamics of metal oxide melt droplets, Nucl. Eng. Des., vol.236, pp. 1421-1429, 2008.
35. Fauchais, P., Understanding plasma spraying, J. Phys. D, vol.37, pp. R86-R108, 2004.
36. Fink, J. K., Thermophysical properties of uranium dioxide (Review), J. Nucl. Mater., vol.279, pp. 1-18, 2000.
37. Fletcher, D. F., Steam explosion triggering: A review of theoretical and experimental investigations, Nucl. Eng. Des., vol.155, pp. 27-36, 1995.
38. Fletcher, D. F., Radiation absorption during premixing, Nucl. Eng. Des., vol.189, pp. 435-440, 1999.
39. Hale, G. M. and Querry, M. P., Optical constants of water in the 200nm to 2001m wavelength region, Appl. Opt., vol.12, pp. 555-563, 1973.
40. Harding, J. H., Martin, D. G., and Potter, P. E., Thermophysical and Thermochemical Properties of Fast Reactor Materials;Commiss. Eur. Commun. Report, EUR 12402 EN, 1989.
41. Huhtiniemi, I., Magallon, D., and Hohmann, H., Results of Recent KROTOS FCI Tests: Alumina Versus Corium Melts, Nucl. Eng. Des., vol.189, pp. 379-389, 1999.
42. Journeau, C., Piluso, P., and Frolov, K. N., Corium physical properties for severe accident R&D, Proc. ICAPP'04, Pittsburg pp. 1062-1071, 2004.
43. Kudinov, P., Karbojian, A., Ma,W., Davydov, M., and Dinh, T.-N., A study of ex-vessel debris formation in LWR severe accident, Proc. ICAPP'07, May 13-18, 2007, Nice, France, paper no. 7512, 2007.
44. Laredo, D. and Netzer, D. W., The dominant effect of alumina on nearfield plume radiation, J. Quant. Spectr. Radiat. Transfer, vol.50, pp. 511-530, (1993).
45. Liu, C. and Theofanous, T. G., Film boiling on spheres in single and two-phase flows. part i. experimental studies, Proc. ANS Nat. Heat Transfer Conf., Portland, OR, Aug. 5-9, pp. 34-47, 1995.
46. Magallon, D., Characteristics of corium debris bed generated in large-scale fuel-coolant interaction experiments, Nucl. Eng. Des., vol.236, no.19-21, pp. 1998-2009, 2006.
47. Melikhov, V. I., Melikhov, O. I., Parfenov, Yu. A., and Sokolin, A. V., VAPEX-code analysis of a melt-coolant interaction experiment on the FARO setup, Atomic Energy, vol.92, pp. 95-99, 2002a.
48. Melikhov, V. I., Melikhov, O. I., and Sokolin, A. V., Melt/water explosive interaction: VAPEX-D code simulation, High Temp., vol.40, pp. 428-436, 2002b.
49. Melikhov, V. I., Melikhov, O. I., and Yakush, S. E., VAPEX code-aided analysis of large-scale experiments in corium/water interaction, High Temp., vol.45, pp. 509- 517, 2007.
50. Mishchenko, M. I., Hovenier, J.W., and Mackowski, D.W., Single scattering by a small volume element, J. Opt. Soc. Am. A, vol.21, pp. 71-87, 2004.
51. Modest, M. F., Radiative Heat Transfer, 2nd ed., Academic Press, New York, 2003.
52. Moriyama, K., Nakamura, H., and Maruyama, Y., Analytical tool development for coarse break-up of a molten jet in a deep water pool, Nucl. Eng. Des., vol.236, no.19-21, pp. 2010-2025, 2006.
53. Nigmatulin, R. I., Dynamics of Multiphase Media, vol.1, Hemisphere, New York, 1991.
54. Nourgaliev, R. R., Dinh, T. N., Dinh, A. T., Haraldsson, H. O., and Sehgal, B. R., The multiphase Eulerian-Lagrangian transport (MELT-3D) approach for modeling of multiphase mixing in fragmentation processes, Prog. Nucl. Energy, vol.42, pp. 123-157, 2003.
55. Okkonen, T. and Sehgal, B. R., Influence of melt freezing characteristics on steam explosion energetic, Proc. ASME/JSME 4th Int'l Conf. Nucl. Eng. (ICONE-4), vol.1, part B, pp. 923-934, 1996.
56. Petukhov, S. M., Trakhtengertz, M. S., Khasanov, R. Kh., and Nigmatulin, B. I., Prediction of thermal properties of the nuclear reactor core melt, Preprint Res. Eng. Center Nucl. Power Plant Safety (ENITs VNIIAES), Electrogorsk, No.L11-20 (in Russian), 1995.
57. Pohlner, G., Vujic, Z., Bürger, M., and Lohnert, G., Simulation of melt jet breakup and debris bed formation in water pools with IKEJET/IKEMIX, Nucl. Eng. Des., vol.236, no.19-21, pp. 2026-2048, 2006.
58. Ruello, P., Becker, K. D., Ulrich, K., Desgranges, L., Petot, C., and Petot-Ervas, G., Thermal variation of the optical absorption of UO2: Determination of the small polaron self-energy, J. Nucl. Mater., vol.328, pp. 46-54, 2004.
59. Siegel, R. and Howell, J. R., Thermal Radiation Heat Transfer, 4th ed., Taylor & Francis, New York, 2002.
60. Surzhikov, S. T., Three-dimensional model of the spectral emissivity of light-scattering exhaust plumes, High Temp., vol.42, pp. 763-775, 2004.
61. Theofanous, T. G., The study of steam explosions in nuclear systems, Nucl. Eng. Des., vol.155, pp. 1-26, 1995.
62. Zeldovich, Ya. B. and Raizer, Yu. P., Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena, Acad. Press, New York, 1967 (also Dover Publ., NY, 2002; orig. Russian ed., Nauka, Moscow, 1966).