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Research Papers: Forced Convection

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

[+] Author and Article Information
Mahdi Mohseni

Assistant Professor
Department of Mechanical Engineering,
Qom University of Technology,
Qom 3718146645, Iran
e-mail: mohseni@qut.ac.ir

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

1Corresponding 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 138(8), 081701 (Apr 26, 2016) (9 pages) Paper No: HT-15-1413; doi: 10.1115/1.4033137 History: Received June 12, 2015; Revised March 16, 2016

Numerical results show that at supercritical pressures, once the buoyancy force increases, the effect of the turbulent Prandtl number, Prt, 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 Prt 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 Prt 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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Figures

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Fig. 1

Flow geometry and the boundary conditions

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Fig. 2

Variations of the pressure term in variable X versus the normalized pressure

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Fig. 3

Variations of PrtCr versus variable X

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Fig. 4

Variations of heat transfer coefficients with and without Prt correction for case 1

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Fig. 5

Variations of heat transfer coefficients with and without Prt correction for case 2

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Fig. 6

Variations of heat transfer coefficients with and without Prt correction for case 3

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Fig. 7

Variations of heat transfer coefficients with and without Prt correction for case 4

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Fig. 8

Variations of wall temperature with and without Prt correction for the case 6

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Fig. 9

Variations of wall temperature with and without Prt correction for the case 7

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Fig. 10

Radial Variations of the Prt values for different flow cross sections along the tube for case 4. (a) Before the deterioration region, (b) in the deterioration region, and (c) after the deterioration region.

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Fig. 11

Variations of the Prt values in the course of the flow for case 4

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