NATURAL CONVECTION BOUNDARY LAYER ALONG IMPERMEABLE INCLINED SURFACES EMBEDDED IN POROUS MEDIUM

Abstract

The natural convection boundary layer flow on an arbitrarily inclined plate in a saturated porous medium is considered, where wall temperature is power function of the distance from the leading edge. Darcy-Boussinesq approximation is adopted to account for buoyancy force. Inclination parameter ξ is used such that all cases of the horizontal, Inclined and vertical plates can be described by a single set of transformed boundary layer equations. The non-linear coupled parabolic equations have been solved numerically by using an implicit finite-difference scheme for both positive and negative inclinations of the plate. Also, the similarity equations for the limiting cases of the horizontal and vertical plates are recovered by setting ξ = 0 and ξ = 1, respectively. Detailed results for skin friction coefficient and Nusselt number as well as for dimensionless velocity and temperature profiles are presented for a wide range of the parameter ξ. The comparison with other validated articles shows excellent agreement.

http://dx.doi.org/10.5755/j01.mech.17.1.205