Effect of Hall Currents on the Stability of Ferromagnetic Fluid Heated from below in the Presence of a Magnetic Field Saturating Porous Media

In this study, the effect of Hall currents on the onset of stability of saturating porous media an electrically conducting ferromagnetic fluid heated from below using linear stability analysis is investigated. Using the Darcy law to modify the ferromagnetic fluid the momentum equations for a porous medium. The employed model incorporates the effects of polarization force and body couple. The coupled partial differential equations governing the physical problem are reduced to a set of ordinary differential equations using normal mode technique. These equations are solved analytically for stress-free boundaries and numerical results are computed by obtaining approximate solutions using Galerkin method using the software Mathematica for the case of stationary convection. It is found that the magnetic field and magnetization have a stabilizing effect as such their effect is to postpone the onset of thermal instability; whereas Hall currents are found to hasten the same. The medium permeability prepones the onset of convection under certain conditions implying thereby the destabilizing effect.