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Analysis of Laminar flow in a Channel with one porous bounding wall

Bujurke, N M and Katagi, N N and Awati, V B (2010) Analysis of Laminar flow in a Channel with one porous bounding wall. International Journal of Fluid Mechanics Research, 37 (3). ISSN 1064-2277

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Abstract

Computer extended series solution is used to analyse the problem of laminar flow in a channel with one porous bounding wall. The objective is to study the effect of non-zero tangential slip velocity on the velocity field, pressure gradient and mass transfer. The problem is also studied using power series method in conjunction with an unconstrained optimization procedure. The domain and rate of convergence of the series so generated are further increased by Pade’ approximants. The coupled diffusion equation in the boundary layer is solved using a finite difference scheme. The solution presented here is valid for much larger Reynolds number compared with earlier investigation.

Item Type: Article
Uncontrolled Keywords: c solute concentration c0 inlet solute concentration cw solute concentration at the membrane surface C c/c0 Cp an integration constant h height of the channel x the axial distance from the channel entrance y the coordinate axis perpendicular to the channel walls measured from the non-porous wall u velocity component in the x-direction u0 average velocity over the channel at channel inlet average velocity over the channel at a given value of x( = ( )) us0 normalised slip velocity us normalised slip velocity U Rew wall Reynolds number (= ) Reent Reynolds number for flow entering the channel (= ) v velocity component in the y-direction vw velocity of the fluid through the membrane V
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 24 Sep 2013 05:01
Last Modified: 24 Sep 2013 05:01
URI: http://eprints.manipal.edu/id/eprint/137261

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