Conjugate free convection from a slightly inclined plate embedded in a porous medium

Two-dimensional conjugate free convection from an inclined flat plate in a semi-infinite porous medium under the boundary-layer approximation is inves tigated both analytically and numerically. The problem is reduced to a pair of coupled parabolic partial differential equations, and series and numeri cal solutions are obtained for both positive and negative inclinations of t he plate. For positive inclinations solutions are possible for all values o f the dimensionless coordinate measured along the plate form the leading ed ge, whilst for negative inclinations solutions are only really valid up to the point where the boundary-layer separates. Comparison between the series expansion and the finite-difference solutions are presented and the range of applicability of the series solutions is investigated.