DOUBLE DIFFUSIVE CONVECTION DUE TO A HORIZONTAL WAVY SURFACE IN A POROUS MEDIUM

摘要

An analysis of the double diffusive convection induced by a horizontal uniformly heated and salted wavy surface in a porous medium is presented. The amplitude of the wavy surface is assumed to be of the order Ra~(-1/3), where Ra is the Rayleigh number, in order to facilitate the boundary layer approximations. The boundary layer flow is governed by a set of nonlinear parabolic partial differential equations. The wavy surface is transformed into a smooth surface via a suitable coordinate transformation. The transformed non-similar boundary layer governing equations are then solved by the Keller box method. The effects of the Lewis number, buoyancy ratio, and wavy geometry on the dynamics of the flow are studied. The local Nusselt and Sherwood numbers and the average Nusselt and Sherwood numbers are given as functions of streamwise coordinate and the effects of various physical parameters are discussed.