Linear Stability Analysis of Onset of Convection in a Couple Stress Fluid Saturated Porous Layer Using Thermal Non-Equilibrium Model

Abstract

Linear stability ofcouple stress fluid saturated porous medium heated from below is studied when the fluid and solid phases are not in local thermal equilibrium. The Darcy model which includes couples stress parameter and permeability is employed as a momentum equation. The critical Rayleigh number for the onset of convection using linear stability analysis is found numerically as a function interphase heat transfer coefficient, aspect ratio. It is found that a small interphase heat transfer coefficient has significant effect on the stability of the system.  The effect of porosity modified conductivity ratio, diffusivity ratio,couple stress parameter, interphase heat transfer coefficient on the stability of the system is investigated.