The onset of double diffusive convection in a binary Maxwell fluid saturated porous layer with cross-diffusion effects

Abstract

The onset of double diffusive convection in a binary Maxwell fluid saturated porous layer with cross diffusion effects is studied using linear and weakly nonlinear stability analyses. The modified Darcy-Maxwell model is used for the momentum equation. The onset criterion for stationary and oscillatory convection is derived analytically. There is a competition between the processes of viscoelasticity and diffusions that causes the convection to set in through oscillatory rather than stationary. The effect of relaxation parameter, Dufour and Soret parameters, Lewis number, solute Rayleigh number, Vadasz number, and normalized porosity parameter on the stability of the system is investigated. The nonlinear theory based on the truncated representation of Fourier series method is used to find the heat and mass transfer. The effect of various parameters on transient heat and mass transfer is also brought out.