Implementation of homotopy analysis method on circular permeable slider containing of incompressible Newtonian fluid

Abstract

An analysis has been performed to study the classical problem of an incompressible Newtonian fluid is forced through the porous of a circular slider which is moving laterally on a horizontal plan. The governing equations for this problem are reduced to an ordinary form and are solved by Homotopy Analysis Method (HAM) and Numerical solution as Boundary Value Problem (BVP). The analytical solution for the coupled Nonlinear Ordinary Differential Equations resulting from the momentum equation is obtained and Velocity fields have been computed and discussed for different values of the Reynolds number of the velocity field. The analytic solution was found to be in good agreement with the direct numerical solution.

Keywords

• Analytical solution
• Homotopy Analysis Method
• Circular porous slider