Mhpm Solution to Mhd Fluid Flow Through Porous Medium with an Exponentially Variable Permeability

Abstract

This article involves the study and analysis of the fully developed flow of a magnetorheological fluid through a non-isotropic porous medium under the effect of an external, uniform, and transversal magnetic field. Permeability is taken as an exponential distribution function of the transverse direction. The Darcy-Brinkman-Lapwood-Lorentz equation for the fluid flow in porous media has been used and solved under non-slip boundary conditions by Modified Homotopy Perturbation Method and the results validated by the Numerical Shooting Method. Finally, the analysis of results is made of the influence on the velocity, volumetric flow, and wall shear stress.

Keywords

• Brinkman regime
• Hartmann magnetic number
• exponential permeability
• magnetorheologicaal fluid