Analytical study of Bingham fluid flow through a conical tube

Abstract

Bingham fluid flow through a conical tube with permeable wall studied. The flow takes place due to pressure gradient, and the porous medium is homogeneous with permeability k. The flow surrounded by the porous medium is governed by the Bingham model, and the flow in the porous medium is governed by the Darcy's law. The velocity distribution, the volume rate of flow and its fractional increase are obtained. The results are deduced and discussed through graphs.