Study of pulsatile flow in a porous annulus with the homotopy analysis method

The purpose of this study is to investigate the problem of pulsatile flow in a porous annulus for small Reynolds number.

The similarity transformation for the governing equations gives a system of nonlinear ordinary differential equations which are analytically solved by the homotopy analysis method (HAM). The analytic solutions of non‐linear differential equation are constructed in the series form. The convergence of the series solutions is carefully analyzed.

Graphical results are presented to investigate the influence of different parameters on the flow behavior. Comparison between the solutions obtained by the HAM and the numerical solution shows good agreement.

An analysis for study on flow of an incompressible viscous fluid in the region lying between two concentric porous cylinders, under the assumption that a periodic pressure gradient is imposed across the annulus and that there is a uniform small transfer across two walls is presented. The HAM solutions are obtained for the equations governing the fluid flow.