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RESEARCH PAPERS: Forced Convection

Turbulent Heat Transfer in Plane Couette Flow

[+] Author and Article Information
Phuong M. Le

School of Chemical, Biological and Materials Engineering, The University of Oklahoma, 100 East Boyd, Norman, OK 73019

Dimitrios V. Papavassiliou

School of Chemical, Biological and Materials Engineering, Sarkeys Energy Center, The University of Oklahoma, 100 East Boyd, Norman, OK 73019

J. Heat Transfer 128(1), 53-62 (Jul 01, 2005) (10 pages) doi:10.1115/1.2130404 History: Received January 19, 2005; Revised July 01, 2005

Heat transfer in a fully developed plane Couette flow for different Prandtl number fluids was studied using numerical simulations. The flow field was created by two infinite planes moving at the same velocity, but in opposite directions, forming a region of constant total shear stress. Heat markers were released into the flow from the channel wall, and the ground level temperature was calculated for dispersion from continuous line sources of heat. In addition, the temperature profile across the channel was synthesized from the behavior of these continuous line sources. It was found that the heat transfer coefficient for Couette flow is higher than that in channel flow for the same Prandtl numbers. Correlations were also obtained for the heat transfer coefficient for any Prandtl number ranging from 0.1 to 15,000 in fully developed turbulence.

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Copyright © 2006 by American Society of Mechanical Engineers
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Figures

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Figure 1

Problem configuration for heat transfer in plane Couette flow

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Figure 2

Mean streamwise cloud position as function of Pr (from (32))

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Figure 3

Contour plots for (a) a plume relative to a stationary frame of reference, and (b) a plume relative to a moving frame of reference. In both cases Pr=100 and t+=3000.

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Figure 4

Maximum temperature (concentration of markers) as function of streamwise position for (a) original plume and (b) plume relative to the velocity of the bottom moving wall

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Figure 5

Half-plume width as a function of streamwise position for (a) original plume and (b) plume relative to the velocity of the bottom moving wall

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Figure 6

Mean temperature profile with a step change in the heat flux applied to (a) one channel wall (Pr⩽10); (b) one channel wall (Pr⩾100), and (c) two channel walls

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Figure 7

Mean temperature log-law coefficients for plane Couette flow and plane channel flow (the values for plane channel flow are calculated from the data of Mitrovic (30)): (a) coefficient A, and (b) coefficient B with an inset for low Pr

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Figure 8

Heat transfer coefficient as a function of the distance downstream from a step change in heat flux applied to (a) one channel wall, and (b) two channel walls

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Figure 9

Fully developed heat transfer coefficient as function of Pr for one heated wall and two heated walls

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Figure 10

Comparison of the LST results for the fully developed heat transfer coefficient with fitted correlations for one heated wall and two heated walls

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Figure 11

Change of Nusselt number ratio with the distant downstream from a step change in heat flux applied to the bottom channel wall: (a) low Pr runs (Pr⩽10) and (b) high Pr runs (Pr⩾100)

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