MHD FLOW OF AN INCOMPRESSIBLE FLUID THROUGH POROUS MEDIUM BETWEEN DILATING AND SQUEEZING PERMEABLE WALLS

Abstract

In this article laminar flow of an incompressible electrically conducting viscous fluid is considered through a porous medium confined in a rectangular domain with infinite length and bounded by two moving preamble walls which enable the fluid to enter or exit during successive deformations. The solution to the problem is approximated by using a variation iteration method (VIM). To investigate the effect of nondimensional wall deformation α, permeation Reynolds number R, reciprocal of porosity coefficient K, and magnetic parameter M on the flow field, graphical results are presented. The analytical solution obtained by VIM is supported by numerical results and both show excellent agreement. The study of flow between dilating or squeezing porous walls is a drastic simplification of the transport of biological fluids through dilating or squeezing vessels.