• SORET EFFECT ON DOUBLE DIFFUSIVE CONVECTION IN A SPARSELY PACKED ROTATING ANISOTROPIC POROUS LAYER

Abstract

The Soret effect on the onset of double-diffusive convection in a sparsely packed rotating anisotropic porous layer is investigated analytically using linear and nonlinear stability theories. Linear theory is based on the normal mode technique. The Brinkman model that includes the Coriolis term is employed to describe flow through porous media. The expressions of Rayleigh number for stationary and oscillatory modes along with a dispersion relation for frequency of oscillation are obtained analytically using linear theory. The effect of anisotropy parameters, Taylor number, Soret parameter, Darcy number, solute Rayleigh number, Lewis number, Darcy Prandtl number and normalized porosity on the stationary and oscillatory convection is shown graphically. The nonlinear theory is based on the truncated representation of Fourier series method. The domain of nonlinear double diffusive convection ensures the quantification of heat and mass transfer. The effect of various parameters on heat and mass transfer is presented graphically. Some existing results are reproduced as the particular cases of present study.