DOI QR코드

DOI QR Code

Two- and three-dimensional experiments for oxide pool in in-vessel retention of core melts

  • Kim, Su-Hyeon (Department of Nuclear Engineering, Kyung Hee University) ;
  • Park, Hae-Kyun (Department of Nuclear Engineering, Kyung Hee University) ;
  • Chung, Bum-Jin (Department of Nuclear Engineering, Kyung Hee University)
  • Received : 2016.11.10
  • Accepted : 2017.05.29
  • Published : 2017.10.25

Abstract

To investigate the heat loads imposed on a reactor vessel through the natural convection of core melts in severe accidents, mass transfer experiments were performed based on the heat transfer/mass transfer analogy, using two- (2-D) and three-dimensional (3-D) facilities of various heights. The modified Rayleigh numbers ranged from $10^{12}$ to $10^{15}$, with a fixed Prandtl number of 2,014. The measured Nusselt numbers showed a trend similar to those of existing studies, but the absolute values showed discrepancies owing to the high Prandtl number of this system. The measured angle-dependent Nusselt numbers were analyzed for 2-D and 3-D geometries, and a multiplier was developed that enables the extrapolation of 2-D data into 3-D data. The definition of $Ra^{\prime}_H$ was specified for 2-D geometries, so that results could be extrapolated for 3-D geometries; also, heat transfer correlations were developed.

Acknowledgement

Supported by : National Research Foundation (NRF)

References

  1. J.M. Bonnet, J.M. Seiler, Thermal hydraulic phenomena in corium pools: the BALI experiment, in: 7th International Conference on Nuclear Engineering, Tokyo, Japan, 1999.
  2. J.K. Lee, K.Y. Shu, K.J. Lee, J.I. Yun, Experimental study of natural convection heat transfer in a volumetrically heated semicircular pool, Ann. Nucl. Energy 73 (2014) 432-440. https://doi.org/10.1016/j.anucene.2014.07.019
  3. O. Kymalainen, H. Tuomisto, O. Hongisto, T.G. Theofanous, Heat flux distribution from a volumetrically heated pool with high Rayleigh number, Nucl. Eng. Des. 149 (1994) 401-408. https://doi.org/10.1016/0029-5493(94)90305-0
  4. M. Helle, O. Kymalainen, H. Tuomisto, Experimental Data on Heat Flux Distribution from a Volumetrically Heated Pool with Frozen Boundaries, IVO Power Engineering Ltd, 1998.
  5. B.R. Sehgal, V.A. Bui, T.N. Dinh, J.A. Green, G. Kolb, SIMECO experiments on invessel melt pool formation and heat transfer with and without a metallic layer, in: Proceedings of In-vessel Core Debris Retention and Coolability Workshop, Garching, Germany, 1998.
  6. F.J. Asfia, V.K. Dhir, An experimental study of natural convection in a volumetrically heated spherical pool bounded on top with a rigid wall, Nucl. Eng. Des. 163 (1996) 333-348. https://doi.org/10.1016/0029-5493(96)01215-0
  7. T.G. Theofanous, M. Maguire, S. Angelini, T. Salmassi, The first results from the ACOPO experiment, Nucl. Eng. Des. 169 (1997) 49-57. https://doi.org/10.1016/S0029-5493(97)00023-X
  8. F.P. Incropera, D.P. Dewitt, Fundamentals of Heat and Mass Transfer, fifth ed., John Wiley & Sons Inc., New York, 2003, pp. 614-619.
  9. A. Bejan, Convection Heat Transfer, second ed., John Wiley & Sons Inc., New York, 1995, pp. 466-514.
  10. V.G. Levich, Physicochemical Hydrodynamics, second ed., Prentice-Hall, New Jersey, 1962.
  11. J.N. Agar, Diffusion and convection at electrodes, Discuss. Faraday Soc. 1 (1947) 27-37.
  12. J.R. Selman, C.W. Tobias, Mass transfer measurement by the limiting current technique, Adv. Chem. Eng. 10 (1978) 211-318.
  13. M.M. Zaki, I. Nirdosh, G.H. Sedahmed, Forced convection mass transfer inside large hemispherical cavities under laminar flow conditions, Chem. Eng. Commun. 159 (1997) 161-171. https://doi.org/10.1080/00986449708936599
  14. B.J. Chung, J.H. Eoh, J.H. Heo, Visualization of natural convection on a horizontal cylinder, Heat Mass Transf. 47 (2011) 1445-1452. https://doi.org/10.1007/s00231-011-0810-z
  15. S.H. Ko, D.W. Moon, B.J. Chung, Applications of electroplating method for heat transfer studies using analogy concept, Nucl. Eng. Technol. 38 (2006) 251-258.
  16. B.J. Ko, M.H. Kim, B.J. Chung, An experimental study on the transition criteria of open channel natural convection flows, J. Mech. Sci. Technol. 26 (2012) 1227-1234. https://doi.org/10.1007/s12206-012-0203-3
  17. J.Y. Moon, B.J. Chung, Time-dependent Rayleigh-Benard convection: cell formation and Nusselt number, Nucl. Eng. Des. 274 (2014) 146-153. https://doi.org/10.1016/j.nucengdes.2014.04.017
  18. M.S. Chae, B.J. Chung, Natural convection heat transfer in a uniformly heated horizontal pipe, Heat Mass Transf. 50 (2014) 115-123. https://doi.org/10.1007/s00231-013-1234-8
  19. H.K. Park, B.J. Chung, Mass transfer experiments for the heat load during invessel retention of core melt, Nucl. Eng. Technol. 48 (2016) 906-914. https://doi.org/10.1016/j.net.2016.02.015
  20. G.U. Kang, B.J. Chung, Natural convection heat transfer characteristics in vertical cavities with active and inactive top and bottom disks, Int. J. Heat Mass Transfer 87 (2015) 390-398. https://doi.org/10.1016/j.ijheatmasstransfer.2015.04.022
  21. S.H. Hong, B.J. Chung, Variations of the optimal fin spacing according to Prandtl number in natural convection, Int. J. Therm. Sci. 101 (2016) 1-8. https://doi.org/10.1016/j.ijthermalsci.2015.10.026
  22. E.J. Fenech, C.W. Tobias, Mass transfer by free convection at horizontal electrodes, Electrochim. Acta 2 (1960) 311-325. https://doi.org/10.1016/0013-4686(60)80027-8
  23. C.K. Lim, B.J. Chung, Influence of a center anode in analogy experiments of long flow ducts, Int. Commun. Heat Mass Transfer 56 (2014) 174-180. https://doi.org/10.1016/j.icheatmasstransfer.2014.06.010
  24. T.N. Dinh, R.R. Nourgaliev, B.R. Sehgal, On heat transfer characteristics of real and simulant melt pool experiments, Nucl. Eng. Des. 169 (1997) 151-164. https://doi.org/10.1016/S0029-5493(96)01283-6
  25. H.K. Park, B.J. Chung, Optimal tip clearance in the laminar forced convection heat transfer of a finned plate in a square duct, Int. Commun. Heat Mass 63 (2016) 73-81.
  26. S.K. Kim, B.J. Chung, Heat load imposed on reactor vessels during in-vessel retention of core melts, Nucl. Eng. Des. 308 (2016) 1-8. https://doi.org/10.1016/j.nucengdes.2016.08.010
  27. Y. Konishi, Y. Nakamura, Y. Fukunaka, K. Tsukada, K. Hanasaki, Anodic dissolution phenomena accompanying supersaturation of copper sulfate along a vertical plane copper anode, Electrochim. Acta 48 (2003) 2615-2624. https://doi.org/10.1016/S0013-4686(03)00305-0
  28. W.G. Steele, H.W. Coleman, Experimental and Uncertainty Analysis for Engineers, second ed., John Wiley & Son, Canada, 1999.