Thermal Instability of Ferromagnetic Fluid in the Presence of Hall Effect and Suspended Particle under Varying Gravity Field

In this paper we consider theoretical investigation of the effect hall current and the suspended particle under varying gravity field on the thermal instability of ferromagnetic fluid heated from below. For a fluid layer between two free boundaries and exact solution is obtained using a linearized stability theory and normal mode analysis. A dispersion relation governing the effect of hall current and the suspended particle is obtained. For the case of stationary convection it is found that the magnetic field has a stabilizing the system when the gravity is increasing upward i.e. (λ>0), where as the hall current and suspended particle are found to have the destabilizing effect on the system when the gravity is increasing upward i.e. (λ>0). The critical Rayleigh numbers and wave numbers of the associated disturbances for the onset of stability as stationary convection are obtained. The principle of exchange of stabilities is not valid for the problem under consideration, whereas in the absence of Hall currents hence magnetic field, it is valid under certain conditions.