Effect of heat transfer in the thermally developing region of the channel partially filled with a porous medium: Constant wall heat flux

Laminar forced convection in the thermally developing region of parallel plate channels partially filled with a porous material has been studied numerically. The parallel plates are subjected to constant wall heat flux. Porous insert is attached to both the walls of the channel with equal thickness. The flow field is assumed to be fully developed. The system is characterized by the parameters, Darcy number, Da and a porous fraction, γp defined as ratio of the porous insert thickness to the channel wall spacing. Numerical solutions have been obtained for 0 ≤ γp ≤ 1.0, for Da = 0.001, 0.005, 0.01, 0.05 and 0.1. The non-dimensional temperature at the wall attains maximum values at a certain porous fraction. The local Nusselt number has been obtained on the porous side of the parallel plate channel.