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

The Darcy model with the Boussinesq approximation is used to study dou ble-diffusive natural convection in an inclined porous layer subject t o 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 e qual 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 t han or equal to 180 degrees where R(T), N. Le, A and Phi, correspond t o the thermal Rayleigh number, buoyancy ratio, Lewis number, aspect ra tio and inclination of the enclosure respectively. An analytical solut ion is obtained by assuming parallel flow in the core region of the ca vity and integral forms of the energy and constituent equations. Appro ximate solutions are derived, for the case of a vertical cavity, that extend the range of validity of the results available in literature. F or opposing flows (N < 0) the existence of multiple steady states is d emonstrated. Critical Rayleigh numbers for the onset of convection are predicted for the case of a horizontal system. For super critical con vection, it is found that multiple steady and unsteady convective mode s are possible for a given set of the governing equations. Numerical s olutions for the flow fields, temperature and concentration distributi ons and heat and mass transfer rates are obtained for a wide range of the governing parameters. A good agreement is observed between the ana lytical predictions and the numerical simulations.