Natural convection in tilted porous enclosures in the presence of a transverse magnetic field

A numerical study has been conducted on laminar natural convection heat tra nsfer in a tilted square enclosure Piled with a fluid-saturated porous medi um in the presence of a transverse magnetic field. The vertical walls of th e enclosure are maintained at constant temperatures while the horizontal wa lls are thermally insulated. The flow in the porous region is modeled using Darcy's law and the Boussinesq approximation. The control-volume finite di fference method is used to solve the governing equations for different valu es of Darcy-Rayleigh number, Hartmann number and inclination angle. The num erical results obtained are presented graphically in terms of streamlines a nd isotherms to illustrate interesting features of the solution. A new corr elation for the average Nusselt number is developed in terms of Darcy-Rayle igh number and Hartmann number in vertical cavities. Typical numerical resu lts showed excellent agreement of the present approach with the available d ata in the literature.