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Research Papers: Forced Convection

Spanwise Heat Transport in Turbulent Channel Flow With Prandtl Numbers Ranging From 0.025 to 5.0

[+] Author and Article Information
Koji Matsubara1

Department of Mechanical and Production Engineering,  Niigata University, Ikarashi 2-nocho 8050, Niigata 950-2181, Japanmatsu@eng.niigata-u.ac.jp

Atsushi Sakurai

Department of Mechanical and Production Engineering,  Niigata University, Ikarashi 2-nocho 8050, Niigata 950-2181, Japanmatsu@eng.niigata-u.ac.jp

Takahiro Miura, Takuya Kawabata

Graduate School of Science and Technology,  Niigata University, Ikarashi 2-nocho 8050, Niigata 950-2181, Japan

1

Corresponding author.

J. Heat Transfer 134(4), 041701 (Jan 26, 2012) (8 pages) doi:10.1115/1.4005077 History: Received November 08, 2009; Accepted September 01, 2011; Published January 26, 2012; Online January 26, 2012

The near-wall turbulent heat transport of the three orthogonal directions was directly solved for the Prandtl numbers ranging from 0.025 to 5.0 to validate the algebraic models of the turbulent heat flux. Two kinds of thermal situations were considered in the low Reynolds number turbulent flow: (a) the case with a uniform heat flux in the spanwise direction (UHF) and (b) the case with the mean spanwise temperature gradient (STG). Among the turbulent heat flux models tested, the model of Rogers preferably predicted over the treated range of the Prandtl numbers, but it failed to reproduce the low Prandtl number effects very accurately. This paper revealed that the coefficient of the Rotta model can be modified to include the low Prandtl number effects by means of the correlation between the exact coefficient suggested by DNS and the Prandtl number.

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Copyright © 2012 by American Society of Mechanical Engineers
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References

Figures

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Figure 8

Turbulent heat flux for Pr = 0.71: (a) wall-normal, (b) spanwise, and (c) streamwise

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Figure 9

Turbulent heat flux for Pr = 5.0: (a) wall-normal, (b) spanwise, and (c) streamwise

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Figure 10

Thermal eddy diffusivity for Pr = 0.025

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Figure 11

Thermal eddy diffusivity for Pr = 0.71

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Figure 12

Thermal eddy diffusivity for Pr = 5.0

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Figure 13

Eddy diffusivity ratio

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Figure 14

Turbulent Prandtl number (UHF)

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Figure 15

Turbulent Prandtl number (STG)

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Figure 16

Modification of model coefficient by Rotta

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Figure 7

Turbulent heat flux for Pr = 0.025: (a) wall-normal, (b) spanwise, and (c) streamwise

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Figure 6

Turbulent intensity of temperature (STG)

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Figure 5

Turbulent intensity of temperature (UHF)

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Figure 4

Mean temperature

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Figure 2

Computational domain

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Figure 1

Schematic scalar transport from regional source

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