Hall Effects on the Unsteady Incompressible MHD Fluid Flow with Slip Conditions and Porous Walls

H. Zaman^1,

¹Department of Mathematics, Islamia College Chartered University, Peshawar, Pakistan

Cite this paper:
H. Zaman. Hall Effects on the Unsteady Incompressible MHD Fluid Flow with Slip Conditions and Porous Walls. Applied Mathematics and Physics. 2013; 1(2):31-38. doi: 10.12691/amp-1-2-3

Abstract

This work is concerned with the influence of Hall current on unsteady incompressible MHD fluid with slip conditions. The effects of Hall current on uniform suction or injection are also seen. As a special case of this problem for no slip condition, the effects of Hall current on Couette flow are discussed. The resulting unsteady problems for velocity are solved by means of Laplace transform, however, the inversion procedure for obtaining the solution is not a trivial matter. The characteristics of the complex transient velocity, complex overall transient velocity, complex steady state velocity are analyzed and discussed for both the cases. Graphical results for the Hall parameter reveal that it has significant influence on the real and imaginary parts of the velocity profiles.

Keywords:
hall effects unsteady Laplace transform transient velocity wall slip porous walls

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