Flow induced by non-coaxial rotations of porous disk and a fluid in a porous medium

Abstract

This paper deals with the flow of an incompressible, viscous and electrically conducting fluid in a porous medium when no slip condition is no longer valid. The fluid is bounded by a non-conducting porous disk. The flow is due to non-coaxial rotations of porous disk and a fluid at infinity. The fluid is electrically conducting in the presence of a constant applied magnetic field in the transverse direction. Analytic treatment for the arising problem is made for velocity components. An analytical solution of the problem is developed using Laplace transform method. A critical assessment is made for the case of partial slip and no-slip conditions and discussed these results in medium which is porous. Graphical results of velocity components are presented for various values of pertinent dimensionless parameters. Key words: Viscous fluid, non-coaxial rotations, Laplace transform porous medium, partial slip condition.