IJPAM: Volume 99, No. 4 (2015)

INVESTIGATION OF MHD FLOW STOKES PROBLEM PAST
A POROUS CONTRACTING SURFACE WITH HEAT TRANSFER

Muondwe Samuel$^1$, Mathew Kinyanjui$^2$, David Theuri$^3$, Kangethe Giterere$^4$
$^{1,2,3,4}$Department of Pure and Applied Mathematics
Jomo Kenyatta University of Agriculture and Technology
P.O. Box 62000, Nairobi, KENYA


Abstract. The unsteady, laminar hydro magnetic flow of an incompressible, viscous and electrically conducting Newtonian fluid over a contracting sheet embedded in a porous medium has been investigated. The flow takes place between two parallel flat sheets that are made of an electrically non-conducting material. The fluid is subjected to transverse magnetic field that cuts perpendicularly across the flow in the positive direction of the z-axis. The contracting sheet has a permeable surface while the surface of other sheet is impermeable, each sheet has an isothermal surface and both sheets are kept at different temperature of $T_{W}$ and$T_{\infty}$ such that the temperature differences within the flow are sufficiently small. The effect of varying various parameters on the velocity and temperature profiles has been discussed. The coupled non-linear partial differential equations governing the flow have been solved numerically using the finite difference method because of its accuracy, stability and convergence. The results that are obtained are then presented graphically and observations have been discussed. Changes in various parameters have been observed to alter the velocity profiles and temperature profiles.

Received: March 12, 2013

AMS Subject Classification: 76D05

Key Words and Phrases: contracting surface, porous media, radiation, magnetic field

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DOI: 10.12732/ijpam.v99i4.1 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 99
Issue: 4
Pages: 385 - 398


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