This paper presents a numerical study of a double diffusive convection in an
inclined square porous cavity filled with an electrically conducting binary
mixture. The upper and bottom walls are maintained at a constant
temperatures and concentrations whereas the left and right walls are assumed
to be adiabatic and impermeable. A uniform and tilted magnetic field is
applied at an angle, ?, about the horizontal, it is obvious that this is
related to the orientation of the magnetic force that can help or oppose the
buoyant force. The Dupuit-Darcy flow model, which includes effects of the
inertial parameter, with the Boussinesq approximation, energy and species
transport equations are solved numerically using the classical finite
difference method. Governing parameters of the problem under study are the
thermal Rayleigh number, Rt, Hartmann number, Ha, Lewis number, Le,
the buoyancy ratio, ?,inclination angle, ? and tilting angle of the
magnetic field, ?,. The numerical results are reported on the contours of
streamline, temperature, and concentration and for the average Nusselt and
Sherwood numbers for various parametric conditions. It is demonstrated that
both the inertial effect parameter and the magnetic field, have a strong
influence on the strength of the natural convection heat and mass transfer
within the porous layer.