MHD natural convection in an inclined cavity filled with a fluid saturated porous mediumwith heat source in the solid phase

摘要

A numerical investigation of unsteady magnetohydrodynamic free convectionin an inclined square cavity filled with a .uid-saturated porous medium and with internalheat generation has been performed. A uniform magnetic field inclined with the sameangle of the inclination of the cavity is applied. The governing equations are formulatedand solved by a direct explicit finite-difference method subject to appropriate initial andboundary conditions. Two cases were considered, the first case when all the cavity wallsare cooled and the second case when the cavity vertical walls are kept adiabatic. A pa-rametric study illustrating the in.uence of the Hartmann number, Rayliegh number, theinclination angle of the cavity and the dimensionless time parameter on the .ow andheat transfer characteristics such as the streamlines, isotherms and the average Nusseltnumber is performed. The velocity components at mid section of the cavity as well as thetemperature profiles are reported graphically. The values of average Nusselt number forvarious parametric conditions are presented in tabular form