Analytical investigation of forced convection from a flat plate enhanced by a porous substrate

This paper deals with an analytical investigation of forced convection from a flat plate enhanced by a porous substrate. The flow occurs in a composite channel, which is partially filled with the porous substrate, and partially with a clear fluid. The substrate is attached to the upper plate in the channel, which is subject to a uniform heat flux. The lower plate of the channel is adiabatic. The flow in the porous region is described by the Brinkman-Forchheimer-extended Darcy equation. Utilizing the boundary layer approximation for the flow in the porous substrate, analytical solutions for the flow velocity, temperature distribution, and the Nusselt number are obtained.