Combined effect of magnetic field and rotation on thermal stability of a couple-stress fluid heated from below in the presence of suspended particles

Thermal stability of a couple-stress fluid in the presence of suspended particles, magnetic field and rotation is considered. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For stationary convection, it is found that suspended particles have a destabilizing effect whereas rotation has a stabilizing effect. The magnetic field and couple-stresses have a stabilizing effect under certain conditions. In the absence of rotation, couple-stresses and magnetic field have a stabilizing effect on the system. It is found that the principle of exchange of stabilities is satisfied in the absence of the magnetic field.