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Technical Briefs

Fluid Flow in an Annular Microchannel Subjected to Uniform Wall Injections

[+] Author and Article Information
Mohammad Layeghi

Department of Wood & Paper Science & Technology, University of Tehran, P.O. Box 31485-77871, Tehran, Karaj, Iranmlayeghi@nrf.ut.ac.ir

Hamid Reza Seyf

 Karaj Islamic Azad University, P.O. Box 31485-313, Tehran, Karaj, Iran

J. Fluids Eng 130(5), 054502 (May 01, 2008) (5 pages) doi:10.1115/1.2911655 History: Received June 10, 2007; Revised January 15, 2008; Published May 01, 2008

Analytical analysis of fluid flow in an annular microchannel subjected to uniform wall injection at various Reynolds numbers is presented. The classical Navier–Stokes equations are used in the present study. Mathematically, using an appropriate change of variable, Navier–Stokes equations are transformed to a set of nonlinear ordinary differential equations. The governing equations are analytically solved using series solution method. Some analytical results are given for the prediction of velocity profiles and pressure distributions in annular microchannels. The agreement between the computational fluid dynamics and the analytical predictions is very good. However, the analytical results are valid in a limited range of radius ratios and needs more study.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figure 1

Fluid flow in an annular microchannel subjected to uniform wall injections along with coordinate system

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Figure 2

Velocity profiles in an annular microchannel subjected to uniform wall injection at two different sets of radial Reynolds numbers

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Figure 3

Pressure distributions on the inner and outer walls of an annular microchannel subjected to uniform wall injection at two different sets of radial Reynolds numbers

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Figure 4

Comparison between numerical (CFD) and analytical velocity profiles at several stations along the annular channel and grid independency

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