Effect of Heat Transfer on Free Surface Flow of a Jeffrey Fluid over a Deformable Permeable Bed

Abstract

Free surface flow of a conducting Jeffrey fluid in a channel is investigated. The channel is bounded below by a finite deformable porous layer. The governing equations are solved in the free flow region and deformable porous layer. The expressions for the velocity field and solid displacement are obtained. The effects of the Jeffrey parameter, viscosity parameter, the volume fraction component of the fluid on the velocity displacement and mass flux are discussed. It is found that the velocity increases with the increase in the non-Newtonian Jeffrey parameter.

Keywords: Free surface flow; Jeffrey fluid; Porous layer; Permeable bed.