Laminar free and forced convective fully developed flow of a viscous incompressible fluid between two infinitely long vertical plates heated asymmetrically embedded in porous medium has been studied. It is observed that the fluid velocity decreases near the channel walls whereas a it increases at the middle region of the channel with an increase in porosity of the medium. The expressions for wall shear stresses, critical Grashof number and the bulk temperature are also derived. It is observed that the bulk temperature increases with increase in either Grashof number or porosity parameter. Further, the critical Grashof number for which there is no flow reversal near the cold wall increases with an increase in temperature ratio parameter while it decreases with an increase in porosity of the medium.