Compressibility and Hall Effects on Thermosolutal Instability of a Partially Ionized Plasma in Porous Medium

Abstract

Abstract The thermosolutal instability of a compressible and partially ionized plasma in porous medium is considered in the presence of a uniform vertical magnetic field to include the effects of collisions and Hall currents. For the case of stationary convection, Hall currents and medium permeability have destabilizing effects whereas the magnetic field and stable solute gradient have stabilizing effects on the system. The effect of compressibility is found to postpone the onset of convection. The collisional effects disappear for stationary convection. The magnetic field, stable solute gradient, and collisions are found to introduce oscillatory modes in the system for (C p/g)β > 1, which were nonexistent in their absence. The case of overstability is also studied, leading to the establishment of conditions sufficient for the existence of overstability.