Free convection boundary-layer flow above a nearly horizontal surface in a porous medium with newtonian heating

Abstract

In this paper the steady free convection boundary-layer along a semi-infinite, slightly inclined (both positive and negative) to the horizontal plate embedded in a porous medium with the flow generated by Newtonian heating has been investigated. The asymptotic solution near the leading edge and the full numerical solution along the whole plate domain have been obtained numerically, whilst the asymptotic solution far downstream along the plate has been obtained analytically. For a positive inclination the full numerical solution is in agreement with the asymptotic solutions. However, for a negatively inclined plate, only the small asymptotic solution near the leading edge of the plate can be predicted giving an insight that the model for a negatively inclined plate, whilst mathematically interesting, is not physically realistic.