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Logarithmic Expansions for Reynolds Shear Stress and Reynolds Heat Flux in a Turbulent Channel Flow

[+] Author and Article Information
Abu Seena

Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Korea

A. Bushra

Department of Civil Engineering, University of Nebraska-Lincoln, Omaha, NE 68182-0178

Noor Afzal

Faculty of Engineering, Aligarh Muslim University, Aligarh 202002, India

J. Heat Transfer 130(9), 094501 (Jul 10, 2008) (4 pages) doi:10.1115/1.2944240 History: Received June 05, 2007; Revised November 09, 2007; Published July 10, 2008

The heat and fluid flow in a fully developed turbulent channel flow have been investigated. The closure model of Reynolds shear stress and Reynolds heat flux as a function of a series of logarithmic functions in the mesolayer variable have been adopted. The interaction between inner and outer layers in the mesolayer (intermediate layer) arising from the balance of viscous effect, pressure gradient and Reynolds shear stress (containing the maxima of Reynolds shear stress) was first proposed by Afzal (1982, “Fully Developed Turbulent Flow in a Pipe: An Intermediate Layer  ,” Arch. Appl. Mech., 53, 355–377). The unknown constants in the closure models for Reynolds shear stress and Reynolds heat flux have been estimated from the prescribed boundary conditions near the axis and surface of channel. The predictions are compared with the DNS data Iwamoto and Abe for Reynolds shear stress and velocity profile and Abe data of Reynolds heat flux and temperature profile. The limitations of the closure models are presented.

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Copyright © 2008 by American Society of Mechanical Engineers
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Grahic Jump Location
Figure 2

Comparison of the DNS data of Abe for three Reynolds numbers with the present work. (a) Reynolds heat flux τt+ versus y+. (b) Temperature distribution T+∕(Pry+)+y+J∕(2Rτ) versus y+. (c) Temperature distribution T+ versus y+.

Grahic Jump Location
Figure 1

Comparison of the DNS data of Abe for four Reynolds numbers with the present work. (a) Reynolds shear stress τ+ versus y+. (b) Velocity distribution u+∕y++y+∕(2Rτ) versus y+. (c) Velocity distribution u+ versus y+.

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