Thermosolutal Convection in Compressible Walters' (Model B′) Fluid Permeated with Suspended Particles in a Brinkman Porous Medium

Abstract

In this paper, the thermosolutal convection in compressible Walters' (model B′) elastico-viscous fluid permeated with suspended particles in a porous medium is considered. For the porous medium, the Brinkman model is employed. By applying normal mode analysis method, the dispersion relation has been derived and solved analytically. It is observed that the medium permeability, suspended particles, gravity field and viscoelasticity introduce oscillatory modes. For stationary convection, it is observed that the Darcy number and stable solute gradient have stabilizing effects whereas the suspended particles and medium permeability has destabilizing effects on the system. The effects of Darcy number, stable solute gradient, suspended particles and medium permeability has also been shown graphically.

Keywords

Brinkman porous medium Suspended particles Thermsolutal convection Viscosity Viscoelasticity

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