Linear and Nonlinear Double Diffusive Convection in a Couple Stress Fluid Saturated Anisotropic Porous Layer with Soret Effect and Internal Heat Source

Abstract

In this paper, we analyze the effect of internal heating and the Soret effect on linear and nonlinear double diffusive convection in a couple stress fluid saturated anisotropic porous layer, heated and salted from below. Linear stability analysis has been performed by using normal mode technique and nonlinear analysis is carried out using a truncated Fourier series. The modified Darcy model, which includes the time-derivative term, has been employed in the momentum equation. The effects of the Vadasz number, the anisotropic parameter, the Soret parameter, the couple stress parameter, the solute Rayleigh number, the internal heat source parameter, the Lewis number, the Darcy–Prandtl number, and normalized porosity on the stationary and oscillatory are shown graphically. Also, heat and mass transports are calculated in terms of the Nusselt number and the Sherwood number and shown graphically.