Numerical results show that at supercritical pressures, once the buoyancy force increases, the effect of the turbulent Prandtl number, Pr_{t}, on convective heat transfer becomes considerable. This phenomenon has not been adequately addressed in the literature. In this study, the effect of the turbulent Prandtl number on the rate of heat transfer in both enhanced and deteriorated regimes of heat transfer to supercritical fluid flows has been extensively investigated. Having realized that variations of the turbulent Prandtl number can affect the model predictions so greatly, a new correlation to express the changes of Pr_{t} with respect to flow conditions in a supercritical environment is developed. Effects of various important parameters such as heat flux, mass flux, and fluid pressure are included in the proposed correlation. This correlation has been modified to be applicable for different supercritical fluids. The comparison with various experimental data shows that by implementing the new correlation of Pr_{t} in the numerical code, it is possible to significantly improve the simulation results. Such a correlation seems to be the first one introduced in the literature for a supercritical fluid flow.

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# A New Correlation for the Turbulent Prandtl Number in Upward Rounded Tubes in Supercritical Fluid Flows

Mahdi Mohseni

,
Mahdi Mohseni

Assistant Professor

Department of Mechanical Engineering,

Qom University of Technology,

Qom 3718146645, Iran

e-mail: mohseni@qut.ac.ir

Department of Mechanical Engineering,

Qom University of Technology,

Qom 3718146645, Iran

e-mail: mohseni@qut.ac.ir

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Majid Bazargan

Majid Bazargan

Associate Professor

Department of Mechanical Engineering,

K. N. Toosi University of Technology,

15 Pardis Street, Mollasadra Avenue,

Tehran 1999 143 344, Iran

e-mail: bazargan@kntu.ac.ir

Department of Mechanical Engineering,

K. N. Toosi University of Technology,

15 Pardis Street, Mollasadra Avenue,

Tehran 1999 143 344, Iran

e-mail: bazargan@kntu.ac.ir

Search for other works by this author on:

Mahdi Mohseni

Department of Mechanical Engineering,

Qom University of Technology,

Qom 3718146645, Iran

e-mail: mohseni@qut.ac.ir

Majid Bazargan

Department of Mechanical Engineering,

K. N. Toosi University of Technology,

15 Pardis Street, Mollasadra Avenue,

Tehran 1999 143 344, Iran

e-mail: bazargan@kntu.ac.ir

1

Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received June 12, 2015; final manuscript received March 16, 2016; published online April 26, 2016. Editor: Portonovo S. Ayyaswamy.

*J. Heat Transfer*. Aug 2016, 138(8): 081701 (9 pages)

**Published Online:**April 26, 2016

Article history

Received:

June 12, 2015

Revised:

March 16, 2016

Citation

Mohseni, M., and Bazargan, M. (April 26, 2016). "A New Correlation for the Turbulent Prandtl Number in Upward Rounded Tubes in Supercritical Fluid Flows." ASME. *J. Heat Transfer*. August 2016; 138(8): 081701. https://doi.org/10.1115/1.4033137

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