Thermosolutal instability of Rivlin-Ericksen rotating fluid in porous medium

The thermosolutal instability of Rivlin-Ericksen fluid in porous medium is considered in the presence of uniform vertical rotation. For the case of stationary convection, the stable solute gradient and rotation have stabilizing effects on the system, whereas, the medium permeability has stabilizing (of destabilizing) effect on the system under certain condition. The viscoelasticity effects disappear for stationary convection. The stable solute gradient. rotation, porosity and viscoelasticity introduce oscillatory modes in the system which were nonexistent in their absence. The sufficient conditions for the non-existence of overstability are also obtained.