DOUBLE-DIFFUSIVE CONVECTION IN AN INCLINED SLOT FILLED WITH POROUS-MEDIUM

The Darcy model with the Boussinesq approximation is used to study double-diffusive natural convection in an inclined porous layer subject to transverse gradients of heat and solute. Results are presented for 0.1 less than or equal to R(T) less than or equal to 10(4), -10(4) less than or equal to N less than or equal to 10(4), 10(-3) less than or equal to Le less than or equal to 10(3), 2 less than or equal to A less than or equal to 15 and -180 degrees less than or equal to Phi less than or equal to 180 degrees where R(T), N. Le, A and Phi, correspond to the thermal Rayleigh number, buoyancy ratio, Lewis number, aspect ratio and inclination of the enclosure respectively. An analytical solution is obtained by assuming parallel flow in the core region of the cavity and integral forms of the energy and constituent equations. Approximate solutions are derived, for the case of a vertical cavity, that extend the range of validity of the results available in literature. For opposing flows (N < 0) the existence of multiple steady states is demonstrated. Critical Rayleigh numbers for the onset of convection are predicted for the case of a horizontal system. For super critical convection, it is found that multiple steady and unsteady convective modes are possible for a given set of the governing equations. Numerical solutions for the flow fields, temperature and concentration distributions and heat and mass transfer rates are obtained for a wide range of the governing parameters. A good agreement is observed between the analytical predictions and the numerical simulations.