Thermal instability of compressible fluids with hall currents and suspended particles in porous medium

Abstract

The thermal instability of compressible fluids in porous medium is considered to include the effects of Hall currents and suspended particles. The dispersion relation has been obtained. For the stationary convection. Hall currents and suspended particles are found to have destabilizing effects whereas compressibility and magnetic field have stabilizing effects on the system. The medium permeability, however, has stabilizing and destabilizing effects on thermal instability in contrast to its destabilizing effect in the absence of magnetic field. The magnetic field and Hall currents are found to introduce oscillatory modes in the system.