• EFFECT OF SUSPENDED PARTICLES ON THERMAL INSTABILITY OF WALTERS’ (MODELB^') FLUID IN A BRINKMAN POROUS MEDIUM

Abstract

In this paper, the effect of suspended particles on thermal instability of incompressible Walters’ (ModelB^') elastico-viscous fluid 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 has stabilizing effect whereas the suspended particles and medium permeability has destabilizing effects on the system. The effects of suspended particles, Darcy number and medium permeability has also been shown graphically.