Skip to main content
Log in

A new heat transfer correlation for supercritical fluids

  • Research Article
  • Published:
Frontiers of Energy and Power Engineering in China Aims and scope Submit manuscript

Abstract

A new method of heat transfer prediction in supercritical fluids is presented. Emphasis is put on the simplicity of the correlation structure and its explicit coupling with physical phenomena. Assessment of qualitative behaviour of heat transfer is conducted based on existing test data and experience gathered from open literature. Based on phenomenological analysis and test data evaluation, a single dimensionless number, the acceleration number, is introduced to correct the deviation of heat transfer from its conventional behaviour, which is predicted by the Dittus-Boelter equation. The new correlation structure excludes direct dependence of heat transfer coefficient on wall surface temperature and eliminates possible numerical convergence. The uncertainty analysis of test data provides information about the sources and the levels of uncertainties of various parameters and is highly required for the selection of both the dimensionless parameters implemented into the heat transfer correlation and the test data for the development and validation of new correlations. Comparison of various heat transfer correlations with the selected test data shows that the new correlation agrees better with the test data than other correlations selected from the open literature.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Bishop A A, Sandberg L O, Tong L S. Forced convection heat transfer to water at near critical temperatures and supercritical pressures. WCAP-2056-P, Part-III-B, 1964

  2. Swenson H S, Caever J R, Kakarala C R. Heat transfer to supercritical water in smooth-bore tube. Journal of Heat Transfer, 1965, 87(4): 477–484

    Google Scholar 

  3. Krasnoshchekov E A, Protopopov V S. Experimental study of heat exchange in carbon dioxide in the supercritical range at high temperature drops, Teplofizika Vysokikh Temperatur, 1966, 4(3): 389–398

    Google Scholar 

  4. Yamagata K, Nishikawa K, Hasegawa S, et al. Forced convection heat transfer to supercritical water flowing in tubes. International Journal of Heat and Mass Transfer, 1972, 15(12): 2575–2593

    Article  Google Scholar 

  5. Griem H. Untersuchungen zur thermohydraulik innenberippter verdampferrohre. Dissertation for the Doctoral Degree. Technical University of Munich, 1995

  6. Cheng Xu, Schulenberg T. Heat transfer at supercritical pressures-literature review and application to an HPLWR. Wissenschaftliche Berichte (Tech. Report) FZKA 6609, Forschungszentrum Karlsruhe, Mai, 2001

  7. Pioro I L, Duffey R B. Experimental heat transfer in supercritical water flowing inside channels. Nuclear Engineering and Design, 2005, 235(22): 2407–2430

    Article  Google Scholar 

  8. Jackson J D. Semi-empirical model of turbulent convective heat transfer to fluids at supercritical pressure. Procceding of 16th International Conference on Nuclear Engineering, ICONE16, Orlando, Florida, USA, 2008, Paper No. 48914

  9. Kuang B, Zhang Y Q, Cheng X. A new, wide-ranged heat transfer correlation of water at supercritical pressures in vertical upward ducts. The 7th International Topical Meeting on Nuclear Reactor Thermal Hydraulics, Operation and Safety (NUTHOS-7), Seoul, Korea, 2008, Paper No. 189

  10. Herkenrath H, Mörk-Mörkenstein P, Jung U, et al. Forced convection Heat transfer to water at the pressure range from 140 to 250 bar, EUR 3658d, EURATOM, 1967

  11. Koshizuka S, Takano N, Oka Y. Numerical analysis of deterioration phenomena in heat transfer to supercritical water. International Journal of Heat and Mass Transfer, 1995, 38(16): 3077–3084

    Article  Google Scholar 

  12. Jackson J D, Hall W B. Influences of buoyancy on heat transfer to fluids in vertical tubes under turbulent conditions. In: Turbulent Forced Convection in Channels and Bundles, Vol.2, New York: Hemisphere Publishing Corporation, 1979, 613–640

    Google Scholar 

  13. Jackson J D. HTFS design report No. 34 — Heat transfer to supercritical pressure fluids, Part 1 — Summary of design recommendation and equations. AERE-R8157, 1975

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xu Cheng.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yang, Y., Cheng, X. & Huang, S. A new heat transfer correlation for supercritical fluids. Front. Energy Power Eng. China 3, 226–232 (2009). https://doi.org/10.1007/s11708-009-0022-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11708-009-0022-0

Keywords

Navigation