ISSN Online: 2379-1748
8th Thermal and Fluids Engineering Conference (TFEC)
INSTABILITY OF A FLUID SATURATED ANISOTROPIC POROUS LAYER USING THERMAL NON-EQUILIBRIUM MODEL
Abstract
Influences of internal heating and anisotropy parameters on double-diffusive convection in a couple stress fluid-saturated anisotropic porous layer heated and salted from below is investigated analytically. Local thermal non-equilibrium model for fluid and solid phase is considered. The analytical study has conducted using linear stability analysis. The critical thermal Rayleigh number and wave number for stationary mode
have obtained analytically using linear theory. linear stability analysis is based on normal mode technique. Momentum equation has formulated using modified Darcy equation that includes the time derivative term. Energy equation has represented by a two-field model, where the fluid and solid phase temperature fields have processed separately. The onset criterion for stationary convection has derived analytically. The effect of anisotropy parameters, couple stress parameter, concentration interphase heat transfer coefficient, and
internal heat source on the stationary convection are shown graphically. It is observed that increasing mechanical
anisotropy parameter destabilizes the system. On the other hand, increasing the values of couple stress parameter and interphase heat transfer coefficient are to stabilize the system.