Research Papers

Screening and Correlating Data on Heat Transfer to Fluids at Supercritical Pressure

[+] Author and Article Information
J. Derek Jackson

Emeritus Professor,
The University of Manchester,
Manchester M13 9PL,
e-mail: jdjackson@manchester.ac.uk

1Corresponding author.

Manuscript received May 6, 2015; final manuscript received July 28, 2015; published online December 9, 2015. Assoc. Editor: Thomas Schulenberg

ASME J of Nuclear Rad Sci 2(1), 011001 (Dec 09, 2015) (7 pages) Paper No: 15-1072; doi: 10.1115/1.4031378 History: Received May 06, 2015; Accepted July 28, 2015

A simple criterion for screening experimental data on turbulent heat transfer in vertical tubes to identify those not significantly influenced by buoyancy was proposed by the author many years ago and found to work quite well for water and air at normal pressures. However, it was recognized even then that the ideas on which the criterion was based were too simplistic to be suitable for use in the case of fluids at supercritical pressure. With the passage of time and tremendous advancement in data processing capability using present-day computers, it is now possible to contemplate adopting a refined approach specifically designed to be suitable for such fluids. The present paper describes a semi-empirical model of buoyancy-influenced heat transfer to fluids at supercritical pressure, which takes careful account of nonuniformity of fluid properties. It provides a criterion for determining the conditions under which buoyancy influences are negligibly small. Thus, the extensive databases now available on heat transfer to fluids at supercritical pressure can be reliably screened to eliminate those affected by such influences. Then, the many correlation equations that have been proposed for forced convection heat transfer can be evaluated in a reliable manner. These equations mostly relate Nusselt number to Reynolds number, Prandtl number, and simple property ratio correction terms. Thus, they should be evaluated using only experimental data that are definitely not influenced by buoyancy. A further outcome of the present paper is that it might now prove possible to correlate the buoyancy-influenced data in such databases and fit the equation for mixed convection heat transfer yielded by the model to the correlated data. If this can be done, it will represent a major advancement in terms of providing thermal analysts with a valuable new tool.

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Jackson, J. D., 2013, “Flow and Convective Heat Transfer With Fluids at Supercritical Pressure,” J. Nucl. Eng. Des., 264, pp. 24–40. 10.1016/j.nucengdes.2012.09.040
Jackson, J. D., Hall, W. B., Fewster, J., Watson, A., and Watts, M. J., 1975, “Review of Heat Transfer to Supercritical Pressure Fluids,” A.E.R.E. Harwell, UK, .
Hall, W. B., Watson, A., and Jackson, J. D., 1968, “A Review of Forced Convection Heat Transfer to Fluids at Supercritical Pressure,” IMech E Symposium on Heat Transfer and Fluid Dynamics of Near Critical Pressure Fluids, Bristol, UK, IMech E, London, Vol. 182, pp. 10–22, Paper No. 3.
Krasnoshchekov, E. A., and Protopopov, V. S., 1966, “Experimental Study of Heat Exchange in Carbon Dioxide in the Supercritical Range at High Temperature Drops,” Teplofizika Vysokikh Temperatur, 4(3), pp. 389–398. 0040-3644
Jackson, J. D., Cotton, M. A. and Axcell, B. P., 1989, “Studies of Mixed Convection in Vertical Tubes: A Review,” Int. J. Heat Fluid Flow, 10(1), pp 2–15. 0142-727X 10.1016/0142-727X(89)90049-0
Jackson, J. D., 2006, “Studies of Buoyancy-Influenced Turbulent Flow and Heat Transfer in Vertical Passages,” Invited Keynote Lecture, Proceedings of the 13th International Heat Transfer Conference, Sydney, Australia, G. de Vahl Davis,, and E. Leonardi, eds., Begell House Inc.
Hall, W. B., and Jackson, J. D., 1970, “Laminarisation of a Turbulent Pipe Flow by Buoyancy Forces,” ASME AIChE National Heat Transfer Conference, Minneapolis, ASME, New York, pp. 1–8, Paper No. 69-HT55.
Jackson, J. D., 2013, “On the Deterioration of Forced Convection Heat Transfer in Tubes to Fluids at Supercritical Pressure caused by Bulk Flow Acceleration,” Proceedings of ISSCWR-6, Shenzhen, Guangdong, China, March, pp. 1–17, Paper No. 098.


Grahic Jump Location
Fig. 1

Effect of buoyancy on heat transfer predicted by the model

Grahic Jump Location
Fig. 2

Turbulent mixed convection in heated vertical tubes



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