ON VISCOUS STRATIFIED DARCY-MODEL FLOW IN AN INCLINED POROUS LAYER WITH THERMAL ANISOTROPY

Abstract

The study investigates the impact of the internal heat source and anisotropy in a Darcy model in an inclined porous layer. It is recognized that temperature influences viscosity fluctuations. Thus, for the sake of simplicity, we use a linear change in viscosity with temperature in the present situation. The eigenvalue problems obtained in linear theory were integrated numerically. The system is stable when the horizontal component of thermal diffusivity is dominant and unstable when the vertical component of thermal diffusivity is dominant. It has been shown that higher viscosity stabilizes the system, whereas lower viscosity promotes the initiation of convection.