CONVECTION IN COMPRESSIBLE COUPLE-STRESS DUSTY FLUID

Abstract

The problem of thermosolutal convection in compressible couple-stress fluid in presence of suspended particles is considered. Following the linearized stability theory and normal mode analysis, the dispersion relation is obtained. For the case of stationary convection, the compressibility, couple-stress and stable solute gradient postpone the onset of convection whereas the suspended particles hasten the onset of convection. Graphs have been plotted by giving numerical values to the parameters to depict the stability characteristics. The case of overstability is also considered wherein the sufficient conditions for non-existence of overstability are obtained.

Keywords: Thermosolutal convection, compressible couple-stress fluid, suspended particles