Convection in Compressible Dusty Fluids

Abstract

The aim of the present research was to study the thermosolutal convection in compressible fluids with suspended particles in permeable media. Following the linearized stability theory, Boussinesq approximation and normal mode analysis, it is found that that stable solute gradient introduces oscillatory modes which were non-existent in its absence. For the case of stationary convection, it is found that medium permeability and suspended particles have destabilizing effects whereas the stable solute gradient has a stabilizing effect on the system. This problem was further extended to include uniform rotation. In this case for stationary convection, the suspended particles are found to have destabilizing effect whereas stable solute gradient, rotation and compressibility have stabilizing effect on the system. The medium permeability has a destabilizing effect in the absence of rotation but has both stabilizing and destabilizing effects in the presence of rotation.