Free convection along a convectively heated vertical flat sheet embedded in a saturated porous medium

An investigation is made for steady free convection about a vertical flat plate embedded in a saturated porous medium due to a convectively heated wall. With the boundary layer theory, the governing equations describing the momentum and energy conservations are reduced to a couple of ordinary differential equations with convective boundary conditions. The exact solutions are then obtained analytically. The velocity and temperature distributions, as well as the local Nusselt number are presented and analyzed. The current analysis is then applied to the convective heat transfer about a dike intruded in an aquifer and the relevant physical quantities are calculated and discussed.