Analytical study of linear and nonlinear double diffusive convection in a rotating anisotropic porous layer with soret effect

Abstract

A linear and nonlinear stability analysis of double diffusive convection in a rotating horizontal anisotropic porous layer with Soret effect has been performed. The linear theory is based on the usual normal mode technique and the nonlinear theory on the truncated Fourier series analysis. The Darcy model extended to include time derivative and Coriolis terms with anisotropic permeability is used to describe the flow through porous media. The effect of rotation, mechanical and thermal anisotropy parameters, Darcy-Prandtl number, solute Rayleigh number, Lewis number, normalized porosity and Soret parameter on the stationary and overstable convection is discussed. A finite amplitude analysis is performed to find the thermal and Sherwood numbers. The effect of various parameters on heat and mass transfer is also investigated. © 2012 by Begell House, Inc.