A Study on Dusty Couple Stress Fluid Heated From Below in the Presence of Horizontal Magnetic Field with Hall Currents

Abstract

An investigation is made on the effect of Hall currents and uniform horizontal Magnetic field on the thermal stability of dusty couple-stress fluid is considered. The analysis is carried out within the limitation of framework of linear stability theory and normal mode technique. A dispersion relation governing the effect of dust particles, Hall currents, magnetic field and couple stress are derived. For the case of stationary convection, dust particles and Hall currents are found destabilizing effect whereas couple-stress has stabilizing effect on the system. Magnetic field has a stabilizing or destabilizing effect on the thermal convection under the restrictions. It has been observed that oscillatory modes are introduced due to the presence of magnetic field and Hall currents which were non-existent in their absence. Graphs have been plotted by giving numerical values to the parameters to depict the stability characteristics.