Combined Effect of Suspended Particles and Rotation on Double-Diffusive Convection in a Viscoelastic Fluid Saturated by a Darcy-Brinkman Porous Medium

Abstract

In this paper, the combined effect of suspended (fine dust) particles and rotation on the onset of double-diffusive convection in a viscoelastic fluid in porous medium is studied. For the porous medium, the Brinkman model is employed and Walters' (model B′) model is used to characterize viscoelastic fluid. By applying normal mode analysis method, the dispersion relation has been derived and solved analytically. It is observed that the rotation, stable solute gradient, suspended particles, gravity field and viscoelasticity introduce oscillatory modes. For stationary convection, it is observed that the rotation, stable solute gradient have stabilizing effect and suspended particles have destabilizing effect on the system whereas Darcy number and medium permeability have stabilizing/destabilizing effects under certain conditions. The effects of rotation, stable solute gradient, suspended particles, Darcy number and medium permeability have also been investigated.

Keywords

Brinkman porous medium Suspended particles Thermsolutal convection Viscosity Viscoelasticity

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