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ISRN Mathematical Physics
Volume 2013 (2013), Article ID 705296, 10 pages
http://dx.doi.org/10.1155/2013/705296
Research Article

A Note on the Unsteady Incompressible MHD Fluid Flow with Slip Conditions and Porous Walls

1Department of Mathematics, Islamia College Chartered University, Peshawar 25000, Pakistan
2Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan

Received 16 July 2013; Accepted 3 October 2013

Academic Editors: A. M. Gavrilik and A. Herrera-Aguilar

Copyright © 2013 H. Zaman et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This work is concerned with the influence of uniform suction or injection on flow and heat transfer analysis of unsteady incompressible magnetohydrodynamic (MHD) fluid with slip conditions. The resulting unsteady problem for velocity and heat transfer is solved by means of Laplace transform. The characteristics of the transient velocity, overall transient velocity, steady state velocity and heat transfer at the walls are analyzed and discussed. Graphical results reveal that the magnetic field, slip parameter, and suction (injection) have significant influences on the velocity, and temperature distributions, which also changes the heat transfer behaviors at the two plates. The results of Fang (2004) are also recovered by keeping magnetic field and slip parameter absent.