natural convection in a porous medium with heat generation: self-similar solution

natural convection heat transfer from a vertical heated plate in a saturated porous medium is analyzed under thermal non-equilibrium assumptions. the plate is maintained at a non uniform temperature and the fluid is considered to be with internal heat generation. the coupled momentum and energy equations for fluid and solid phases are transformed to a similarity format, and solved numerically. the resulting velocity and temperature distributions are shown for different values of the problem parameters. also the values of the local nusselt numbers for both solid and fluid phases are shown. the effect of suction/injection on the free convection boundary layer is also studied. the obtained results are compared with those presented in the literature in the case of thermal equilibrium model.