RESEARCH ARTICLE

A new heat transfer correlation for supercritical fluids

  • Yanhua YANG ,
  • Xu CHENG ,
  • Shanfang HUANG
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  • School of Nuclear Science and Engineering, Shanghai Jiao Tong University, Shanghai 200240, China

Received date: 11 Nov 2008

Accepted date: 05 Jan 2009

Published date: 05 Jun 2009

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg

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.

Cite this article

Yanhua YANG , Xu CHENG , Shanfang HUANG . A new heat transfer correlation for supercritical fluids[J]. Frontiers in Energy, 2009 , 3(2) : 226 -232 . DOI: 10.1007/s11708-009-0022-0

Acknowledgements

The authors would like to thank the National Basic Research Program of China (No. 2007CB209804) for providing the financial support for this study.
Notation
CPspecific heat/(J•kg-1•K-1)
Ddiameter/m
eerror of various parameters
Fcorrection factor
Gmass flux/(kg•m-2•s-1)
GrGrashof number
henthalpy/(J•kg-1)
NuNusselt number
ppressure/MPa
pccritical pressure/MPa
PrPrandtl number
qheat flux/(W•m-2)
ReReynolds number
Ttemperature/°C
Tccritical temperature/°C
ycoordination in radial direction/m
zcoordination in axial direction/m
aheat transfer coefficient/(W•m-2•K-1)
a0reference heat transfer coefficient/(W•m-2•K-1)
bthermal expansion coefficient/K-1
lThermal conductivity/(W•m-1•K-1)
mDynamic viscosity/(kg•m-1•s-1)
paacceleration number
pbbuoyancy number
pcratio of specific heat
rdensity/( kg•m-3)
subscripts
Bbulk
Ccalculated
mmeasured
Wwall
pcpseudo-critical
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