The Investigation of Squeezing Flow Through a Porous Medium Between Parallel Plates Using the Homotopy Perturbation Method

We have conducted an analysis of fluid flow between two rectangular parallel plates filled with a porous medium, with both plates symmetrically approaching or receding from each other. The governing Darcy-Brinkman equations were transformed into an ordinary differential equation through a similarity transformation. Subsequently, we employed the homotopy perturbation method to solve the resulting equations. For the problem at hand, we obtained numerical solutions while varying the following parameters: Reynolds number in the range of 1 to 10 and Darcy number from 0.05 to 1.0. We derived expressions for the velocity profiles and provided graphical representations for both the axial and normal velocity components. Additionally, we calculated the skin friction coefficient at the wall and presented it graphically for a comprehensive understanding of the results.