Double diffusive convection in a shallow porous cavity filled with a non-newtonian fluid

The Darcy model with the Boussinesq approximations is used to study double-diffusive convection in a shallow porous cavity saturated with a non-Newtonian fluid. A power-law model is used to characterize the non-Newtonian fluid behaviour. Motions are driven by constant heat and concentration fluxes imposed across the walls of the enclosure. The problem is solved analytically, in the limit of a thin layer, using a parallel flow approximation. Solutions for the flow fields, Nusselt and Sherwood numbers are obtained explicitly in terms of the governing parameters of the problem. A good agreement is obtained between the analytical prediction and a numerical solution of the full governing equations.