My Limiting Behavior of MHD Flow with Hall Current, Due to a Porous Stretching Sheet

Faiza M. N. El-Fayez

Department of Mathematics, Princess Nora Bint Abdul Rahman University, Riyadh, KSA.

DOI: 10.4236/jamp.2014.25016                

Abstract

An electrically conducting fluid is driven by a stretching sheet, in the presence of a magnetic field that is strong enough to produce significant Hall current. The sheet is porous, allowing mass transfer through suction or injection. 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 through parameter straining. The leading order approximations show sinusoidal behavior that is decaying exponentially, as we move away from the surface. The two-term expansions of the 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.

Keywords

MHD Flow, Hall Current, Stretching Sheet, Porous Sheet, Limiting Behavior

Conflicts of Interest

The authors declare no conflicts of interest.

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