Slip effects on non-Newtonian fluid flow through porous medium in a channel of lower stretching wall: Homotopy analysis method

摘要

The steady flow of viscoelastic fluid (Walters' liquid B') through a channel filled with a porous medium is analysed. The flow in the channel is induced by the lower stretching wall. The upper wall of the channel is porous and stationary. A constant suction velocity is applied at the upper channel wall. Partial slip boundary conditions for the velocity are assumed at both the walls. The non-linear partial differential equations governing the viscoelastic fluid flow through porous medium are converted into non-linear ordinary differential equation using similarity transformations. The problem is then solved using homotopy analysis method. The effects of the various pertinent parameters on the velocity profiles and skin friction are investigated, and discussed.