• THE ONSET OF DOUBLE DIFFUSIVE CONVECTION IN A COUPLE STRESS FLUID SATURATED ROTATING ANISOTROPIC POROUS LAYER

Abstract

Linear stability and weak nonlinear theories are used to investigate analytically the onset of double diffusive convection in a couple stress fluid saturated rotating anisotropic porous layer. The modified Darcy equation that includes the time derivative term and the inertia term is used to model the momentum equation.  The effect of mechanical and thermal anisotropy parameters, Taylor number, couple stress parameter, Lewis number, solute Rayleigh number, Darcy-Prandtl number and normalized porosity on the stability of the system is investigated. The effect of various parameters on the stationary, oscillatory, and finite amplitude convection is shown graphically. A weak nonlinear theory based on the truncated representation of Fourier series method is used to find the finite amplitude Rayleigh number and heat and mass transfer. The transient behavior of the Nusselt number and Sherwood number is investigated by solving the finite amplitude equations using Runge-Kutta method.