CONVECTIVE FLOW BETWEEN A CORRUGATED AND A SMOOTH WALL

Abstract

The fully developed mixed convective flow in a long vertical channel containing porous and fluid layers bounded by corrugated and smooth walls is studied. Non-linear equations governing the motion have been solved by the linearization technique wherein the flow is assumed to be in two parts; a mean part and a perturbed part. Exact solutions are obtained for the mean part and the perturbed part is solved using long wave approximation. Separate solutions are matched at the interface using suitable matching conditions. It is found that the Grashof number, width ratio, conductivity ratio, and wall temperature ratio promote velocity parallel to the flow direction and reduce velocity perpendicular to the flow direction. The presence of a porous matrix and the viscosity ratio suppresses velocity parallel to the flow direction and promotes velocity perpendicular to the flow direction.