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Journal of Applied Mathematics
Volume 2013, Article ID 638940, 6 pages
http://dx.doi.org/10.1155/2013/638940
Research Article

MHD Flow with Hall Current and Ion-Slip Effects due to a Stretching Porous Disk

Department of Mathematics, Princess Nora Bint Abdul Rahman University, P.O. Box 104502, Riyadh 11636, Saudi Arabia

Received 26 June 2013; Accepted 30 September 2013

Academic Editor: Md Sazzad Chowdhury

Copyright © 2013 Faiza M. N. El-Fayez. 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

A partially ionized fluid is driven by a stretching disk, in the presence of a magnetic field that is strong enough to produce significant hall current and ion-slip effects. The limiting behavior of the flow is studied, as the magnetic field strength grows indefinitely. The flow variables are properly scaled, and uniformly valid asymptotic expansions of the velocity components are obtained. The leading order approximations show sinusoidal behavior that is decaying exponentially, as we move away from the disk surface. The two-term expansions of the radial and azimuthal surface shear stress components, as well as the far field inflow speed, compare well with the corresponding finite difference solutions, even at moderate magnetic fields. The effect of mass transfer (suction or injection) through the disk is also considered.