A two-dimensional numerical model is developed to study the effect of the turbulent Prandtl number $Prt$ on momentum and energy transport in a highly variable property flow of supercritical fluids in a vertical round tube. Both regimes of enhanced and deteriorated heat transfer have been investigated. The equations of the $Prt$ leading to the best agreement with the experiments in either regime of heat transfer were specified. The results of this study show that the increase in the $Prt$ causes the heat transfer coefficients to decrease. When the buoyancy force increases, a better agreement with the experimental data is reached if values lower than 0.9 are used for the $Prt$. A decrease in the $Prt$ values results in an increase in turbulent activities. From the effect that the $Prt$ has on heat transfer coefficients, it may be deduced that the buoyancy effects in the upward flow of a supercritical fluid lead to the decrease in the $Prt$ value and hence to the increase in the heat transfer coefficients. Furthermore, the value of the $Prt$ in the laminar viscous sublayer as expected does not have a significant effect on heat transfer rate. The effect of the turbulence model on the extent to which the $Prt$ influences the rate of heat transfer is also examined. The results obtained are shown to be valid regardless of the turbulence model used.

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# Effect of Turbulent Prandtl Number on Convective Heat Transfer to Turbulent Flow of a Supercritical Fluid in a Vertical Round Tube

Mahdi Mohseni

,
Mahdi Mohseni

Department of Mechanical Engineering,

m_mohseni@dena.kntu.ac.ir
K.N.Toosi University of Technology

, 15 Pardis Street, Mollasadra Avenue, P.O. Box 19395-1999, Tehran 1999 143 344, Iran
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Majid Bazargan

Majid Bazargan

Assistant Professor

Department of Mechanical Engineering,

bazargan@kntu.ac.ir
K.N.Toosi University of Technology

, 15 Pardis Street, Mollasadra Avenue, P.O. Box 19395-1999, Tehran 1999 143 344, Iran
Search for other works by this author on:

Mahdi Mohseni

Department of Mechanical Engineering,

K.N.Toosi University of Technology

, 15 Pardis Street, Mollasadra Avenue, P.O. Box 19395-1999, Tehran 1999 143 344, Iranm_mohseni@dena.kntu.ac.ir

Majid Bazargan
Assistant Professor

K.N.Toosi University of Technology

, 15 Pardis Street, Mollasadra Avenue, P.O. Box 19395-1999, Tehran 1999 143 344, Iranbazargan@kntu.ac.ir

*J. Heat Transfer*. Jul 2011, 133(7): 071701 (10 pages)

**Published Online:**March 30, 2011

Article history

Received:

September 23, 2009

Revised:

February 1, 2011

Online:

March 30, 2011

Published:

March 30, 2011

Citation

Mohseni, M., and Bazargan, M. (March 30, 2011). "Effect of Turbulent Prandtl Number on Convective Heat Transfer to Turbulent Flow of a Supercritical Fluid in a Vertical Round Tube." ASME. *J. Heat Transfer*. July 2011; 133(7): 071701. https://doi.org/10.1115/1.4003570

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