Thermosolutal Convection in Compressible Couple-Stress Fluid with Fine Dust

A layer of compressible, couple-stress fluid permeated with suspended particles (fine dust), heated and soluted from below is considered. For the case of stationary convection; the compressibility, couple-stress and stable solute gradient postpone the set of convection where as the suspended particles hasten the onset of convection. The graphs have been plotted by giving numerical values to the parameters to depict the stability characteristics. The stable solute gradient is found to introduce the overstability modes in the system, which ware non-existing, in its absence. The case of overstability is also considered wherein the sufficient conditions for non-existence of overstability are obtained.