• The Onset of Double Diffusive Convection in a Couple Stress Fluid Saturated Anisotropic Porous Layer with Cross-Diffusion Effects

Abstract

The double diffusive convection in a horizontal couple stress fluid saturated anisotropic porous layer, which is heated and salted from below in the presence of Soret and Dufour effects, is studied analytically using linear stability analyses. The linear analysis is based on the usual normal mode technique. The modified Darcy equation that includes the time derivative term is used to model the momentum equation. The critical Rayleigh number for stationary and oscillatory modes and frequency of oscillations are obtained analytically using linear theory. The effects of anisotropy parameter, solute Rayleigh number, Lewis number, Vadasz number, couple stress parameter, Soret and Dufour parameter on the stationary and oscillatory Rayleigh number is shown graphically.