Exact analytical solutions of forced convection flow in a porous medium

The forced convection problem in a fluid saturated porous medium is considered. For the self-similar boundary-layer flows past a plane or axisymmetric body with arbitrary shape embedded in this medium and having a power-law surface temperature distribution, analytical solutions are given. In the range λ ≥ 0 of the temperature exponent, the analytical results show an excellent agreement with previous numerical findings. In the range λ < − 12, the existence of a new class of unique solutions, while for − 12 < λ < 0 the occurrence of multiple solutions is reported. The heat transfer characteristics and the physical meaning of all these forced convection boundary-layer flows are discussed in detail.