Hall effect on MHD flow of visco-elastic micro-polar fluid layer heated from below saturating a porous medium

Abstract

The problem of visco-elastic micro-polar fluid layer heated from blow in the presence of uniform vertical magnetic field with Hall current in porous medium is discussed here and obtained a dispersion relation using normal mode analysis. From this dispersion relation, the medium permeability K₁ has destabilizing effect, the coupling parameter K has stabilizing effect. the micro-polar coefficient A has stabilizing effect under certain conditions, the magnetic field has stabilizing effect when δ̅ < ^∈/_A and ∈ > ¹/₂, micro-polar heat conduction parameter has stabilizing effect when ∈ > ¹/₂ and Hall parameter has destabilizing effect under δ̅  < ^∈/_A and ∈ > ¹/₂ and a necessary condition for oscillatory mode is obtained with δ̅ < ^∈/A and Q < ^P_r/_π² and F > ^Qπ2K₁/_∈Prj̅

Keywords: Visco-elastic, Micro-polar fluid, Magnetic field, Hall current, Porous Medium