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TECHNICAL BRIEFS

Mixed Convection in a Vertical Parallel Plate Microchannel With Asymmetric Wall Heat Fluxes

[+] Author and Article Information
Mete Avcı

Department of Mechanical Engineering, Karadeniz Technical University, 61080 Trabzon, Turkey

Orhan Aydın1

Department of Mechanical Engineering, Karadeniz Technical University, 61080 Trabzon, Turkeyoaydin@ktu.edu.tr

1

Corresponding author.

J. Heat Transfer 129(8), 1091-1095 (Oct 26, 2006) (5 pages) doi:10.1115/1.2737483 History: Received May 29, 2006; Revised October 26, 2006

In this study, exact analytical results are presented for fully developed mixed convective heat transfer of a Newtonian fluid in an open-ended vertical parallel plate microchannel with asymmetric wall heating at uniform heat fluxes. The velocity slip and the temperature jump at the wall are included in the formulation. The effects of the modified mixed convection parameter, GrqRe, the Knudsen number, Kn, and the ratio of wall heat flux, rq=q1q2, on the microchannel hydrodynamic and thermal behaviors are determined. Finally, a Nu=f(GrqRe,Kn,rq) expression is developed. For, the limiting case of Kn=0, the results are found to be in an excellent agreement with those in the existing literature.

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Copyright © 2007 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 2

Velocity (a) and temperature (b) distributions as a function Grq∕Re for Kn=0 and rq=1

Grahic Jump Location
Figure 3

Velocity and temperature distributions as a function Kn for Grq∕Re=50 at rq=1

Grahic Jump Location
Figure 4

The variation of the Nu with the Grq∕Re at different values of Kn for rq=1

Grahic Jump Location
Figure 5

The variation of the Nu1 (a) and Nu2 (b) with the rq at different values of Kn for Grq∕Re=50

Grahic Jump Location
Figure 1

Schematic diagram of the flow domain

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