Pulsatile Flow through Annular Space Bounded by Outer Porous Cylinder and an Inner Cylinder of Permeable Material

This study investigates the problem of pulsatile flow of an incompressible Newtonian fluid through annular space bounded by an outer porous cylinder and an inner cylinder of permeable material. The coupled flow has been analyzed by solving Navier-Stokes equations in the free fluid region and Darcy’s equation in the porous region. Beaver-Joseph slip-condition has been used at the free fluid–permeable medium interface. 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 analytical solutions have been obtained in the form of a series. An admissible interval for the convergence of the series solutions has been indicated. Graphical results are presented to show the influence of different parameters on velocity profiles, pressure drop, and skin friction. Comparison between the solutions obtained by the HAM and the numerical solution shows good agreement.

Pulsatile flow, Porous annulus, Homotopy analysis method (HAM)