Nuclear Engineering and Technology

Korean Nuclear Society (한국원자력학회)
권호 표지
DOI QR코드

DOI QR Code

DEVELOPMENT OF A WALL-TO-FLUID HEAT TRANSFER PACKAGE FOR THE SPACE CODE

  • Published : 2009.11.30
Download PDF
⟨ Previous Next ⟩

Abstract

The SPACE code that is based on a multi-dimensional two-fluid, three-field model is under development for licensing purposes of pressurized water reactors in Korea. Among the participating research and industrial organizations, KAERI is in charge of developing the physical models and correlation packages for the constitutive equations. This paper introduces a developed wall-to-fluid heat transfer package for the SPACE code. The wall-to-fluid heat transfer package consists of twelve heat transfer subregions. For each sub-region, the models in the existing safety analysis codes and the leading models in literature have been peer reviewed in order to determine the best models which can easily be applicable to the SPACE code. Hence a wall-to-fluid heat transfer region selection map has been developed according to the non-condensable gas quality, void fraction, degree of subcooling, and wall temperature. Furthermore, a partitioning methodology which can take into account the split heat flux to the continuous liquid, entrained droplet, and vapor fields is proposed to comply fully with the three-field formulation of the SPACE code. The developed wall-to-fluid heat transfer package has been pre-tested by varying the independent parameters within the application range of the selected correlations. The smoothness between two adjacent heat transfer regimes has also been investigated. More detailed verification work on the developed wall-to-fluid heat transfer package will be carried out when the coupling of a hydraulic solver with the constitutive equations is brought to completion.

Keywords

References

  1. S. Nukiyama, “Maximum and Minimum Values of Heat Transmitted from Metal to Boiling Water Under Atmospheric Pressure,” Journal of the Japanese Society of Mechanical Engineers, 37, p.367 (1934)
  2. Kim, H. D. et al., “Investigation and Selection of Wall-to-Fluid Heat Transfer Correlations for the Development of Constitutive Relation,” SPACE’s Software Design Description, S06NX08-A-1-RD-03, Rev.00. (2008)
  3. McAdams, W. H., Heat Transmission, 3rd Edition, McGraw-Hill, New York (1954)
  4. Warner, C. Y. and Arpaci, V.S., “An experimental Investigation of Turbulent Natural Circulation in Air at Low Pressure along a Vertical Heated Flat Plate,” Int. J. Heat Mass Transfer, 11, p.397 (1968) https://doi.org/10.1016/0017-9310(68)90084-7
  5. Dittus, F. W. and Boelter, L.M.K., “Heat Transfer in Automobile Radiators of the Tubular Type,” Publications in Engineering, 2, Univ. of California, Berkeley, p.443 (1930)
  6. Gnielinski, V., “New Equations for Heat and Mass Transfer in Turbulent Pipe and Channel Flow,” Int. Chem. Eng. 16, p.359 (1976)
  7. Sellars, J. R., Tribus, M. and Klein, J. S., “Heat Transfer to Laminar Flows in a Round Tube or Flat Conduit: The Graetz Problem Extended,” Transaction of the ASME, 78, p.441 (1956)
  8. Lahey, R. T., “A Mechanistic Subcooled Model,” $6^{th}$ Int. Heat Transfer Conf., Toronto, Canada, 1, p.293 (1978)
  9. Saha, P. and Zuber, N, “Point of Net Vapor Generation and Vapor Void Fraction in Subcooled Boiling,” Proc. 5th Int. Heat Transfer Conf., Toyko, Japan, Paper B4.7 (1974)
  10. Ha, K.S., “Development of the Subcooled Boiling Model using a Computer Tool with the Drift-Flux Model,” Master thesis, KAIST (2004)
  11. Chen, J. C., “A Correlation for Boiling Heat Transfer to Saturated Fluid in Convective Flow,” ASMS paper, 63-HT-34, p.1 (1963)
  12. Groeneveld, D. C., Cheng, S.C., and Doan, T., “1986 AECLUO Critical Heat Flux Lookup Table,” Heat Transfer Engineering, 7, p.46 (1986) https://doi.org/10.1080/01457638608939644
  13. Biasi, L., Clerici, G.C., Garribba, S., Sala, R. and Tozzi,A., “Studies on Burnout, Part 3: A New Correlation for Round Ducts and Uniform Heating and Its Comparison with World Data,” Energia Nucleare, 14, p.530 (1967)
  14. Groeneveld, D. C. et al., “The 2006 CHF Lookup Table,” Nuclear Engineering and Design, 237, p.1909 (2007) https://doi.org/10.1016/j.nucengdes.2007.02.014
  15. Groeneveld, D. C. et al., “Lookup Tables for Predicting CHF and Film Boiling Heat Transfer: Past, Present, and Future,” Nuclear Technology, 152, p.87 (2005) https://doi.org/10.13182/NT152-87
  16. Chen, J.C. et al., “A Phenomenological Correlation for Post-CHF Heat Transfer, ” NUREG-0237 (1977)
  17. “RELAP5-3D Code Manual Volume IV: Models and Correlation,” INEEL-EXT-98-000834, Volume IV, Rev.2.4, (2005)
  18. Bjornard, T.A. and Griffith, P., “PWR Blowdown Heat Transfer,” Thermal and Hydraulic Aspects of Nuclear Reactor Safety, ASME, New York, 1, p.17 (1977)
  19. Thurgood, M. J. et al., “COBRA/TRAC-A Thermal-Hydraulics Code for Transient Analysis of Nuclear Reactor Vessels and Primary Coolant Systems,” NUREG/CR-3046 (1983)
  20. Jones, O.C. Jr. and Bankoff, S.G.., “Thermal and Hydraulic Aspects of Nuclear Reactor Safety,” ASME, New York, 1, (1977)
  21. Spore, J.W. et al., “TRAC-M/FORTRAN 90 (version 3.0) Theory Manual, ” LA-UR-00-910, (2000)
  22. Henry, R.E., “A Correlation for the Minimum Film Boiling Temperature,” AIChE Symposium Series, 138, p.81 (1974)
  23. US-NRC, “TRACE V5.0, Theory Manual, Field Equations, Solution Methods, and Physical Models,”
  24. Groeneveld, D.C. and Stewart, J.C., “The Minimum Film Boiling Temperature for Water during Film Boiling Collapse,” Proc. $7^{th}$ Int. Heat Transfer Conf. Munchen, 4, FB37, p393 (1982)
  25. Elias, E. et al., “Development and Validation of a Transition Boiling Model for RELAP5/MOD3 Reflood Simulation,” Nuclear Engineering and Design, 183, p.269 (1998) https://doi.org/10.1016/S0029-5493(98)00185-X
  26. Carbajo, Juan J., “A Study on the Rewetting Temperature,” Nuclear Engineering and Design, 84, p.21 (1985) https://doi.org/10.1016/0029-5493(85)90310-3
  27. Groeneveld et al., “A Look-up Table for Fully Developed Film Boiling Heat Transfer,” Nuclear Engineering and Design, 225, p.83 (2003) https://doi.org/10.1016/S0029-5493(03)00149-3
  28. Bajorek, S. M. and Young, M. Y., “Direct-Contact Heat Transfer Model for Dispersed-Flow Film Boiling,” Nuclear Technology, 132, p.375 (2000) https://doi.org/10.13182/NT00-A3151
  29. Hammouda, N., Groeneveld, D.C., and Cheng, S.C., “Two-Fluid Modelling of Inverted Annular Film Boiling,” Int. J. Heat Mass Transfer, 40, p.2655 (1997) https://doi.org/10.1016/S0017-9310(96)00278-5
  30. Sun, K.H., Gonxalez-Santalo, J.M., and Tien, C.L., “Calculations of Combined Radiation and Convection Heat Transfer in Rod Bundles under Emergency Cooling Conditions,” J. of Heat Transfer, p.414 (1976)
  31. Nusselt, W. A., “The Surface Condensation of Water Vapor”, Zieschrift Ver. Deut. Ing., 60, p.541 (1916)
  32. Chato, J. C., “Laminar Condensation inside Horizontal and Inclined Tubes,” American society of heating, refrigeration and air conditioning engineering journal, 4, p.52 (1962)
  33. Shah, M. M., “A general correlation for heat transfer during film condensation inside pipes,” Int. J. Heat Mass Transfer, 22, p.547 (1979) https://doi.org/10.1016/0017-9310(79)90058-9
  34. Colburn, A. P. and Hougen, O. A., “Design of cooler condensers for mixtures of vapors with non-condensing gases,” Industrial and Engineering Chemistry, 26 (1934) https://doi.org/10.1021/ie50299a011
  35. No, H.C. and Park, H. S., “Non-iterative Condensation Modeling for Steam Condensation with Non-condensable Gas in a Vertical Tube,” Int. J. of Heat and Mass Transfer, 45, p.845 (2002) https://doi.org/10.1016/S0017-9310(01)00176-4
  36. Kim, H. D. et al., “Coding of Wall-to-Fluid Heat Transfer Correlations for the Development of Program Module,” SPACE’s Software Design Description, S06NX08-A-1-RD-11, Rev.00. (2008)

Cited by

  1. Integral Effect Tests on Transient Thermal-Hydraulic Behavior during a Steam Generator Tube Rupture Accident in the APR1400 vol.177, pp.3, 2012, https://doi.org/10.13182/NT12-A13482
  2. Simulation of protected and unprotected loss of flow transients in a WWER-1000 reactor based on the Drift-Flux Model vol.82, pp.1, 2017, https://doi.org/10.3139/124.110616