Modeling and numerical analysis of viscoelastic fluid flow in a permeable channel

In this article, the laminar flow of an incompressible and viscoelastic fluid inside a channel with porous walls has been investigated using optimal asymptotic homotopy method (OHAM). The flow inside the channel is considered steady and the Darcy model is used to simulate the effects of drag on the flow caused by the porous medium. The governing equations of the problem are converted into non-linear ordinary differential equations and solved. To prove the correctness of the solution, some of the results have been compared with the obtained numerical results. The effects of Darcy number, Deborah number and Reynolds number on the velocity distribution are analyzed. Based on the comparison, the ability and high accuracy of this method to solve the problem has been determined. Finally, it can be concluded that this method can be used as a reliable method to solve the internal flow of fluid inside a channel with a porous wall.