Thermosolutal Instability in Walters'B' Fluid in the Presence of Hall Currents in Porous Medium in Hydromagnetics

The thermosolutal instability of a layer ofWalters' B′ elasticoviscous fluid is considered in the presence of uniform horizontal magnetic field to include the Hall currents in porous medium. For the case of stationary convection, the Hall currents hasten the onset of convection, the magnetic field postpones the onset of convection, medium permeability also postpones the onset of convection in the presence of Hall currents, whereas kinematic viscoelasticity has no effect on the onset of convection. The Hall currents, kinematic viscoelasticity, magnetic field, medium permeability and solute parameter introduce oscillatory modes in the system, which were non-existent in their absence. The case of overstability is also considered wherein the sufficient conditions for the non-existence of overstability are obtained.