Study Optimal Approximation Solution of First Grade Fluid Flow with Slip Boundary Condition by Optimal Perturbation Iteration Algorithm

Abstract

In this article, the steady two‐dimensional axis metric flow of an incompressible viscous fluid in a porous medium under the influence of a uniform transverse magnetic field with slip boundary condition is analyzed and solved by using perturbation iteration algorithm (PIA) and optimal perturbation Iteration Algorithm. The optimal perturbation iteration algorithm (OPIA) has been used to obtain the approximate analytical solution by varying the pertinent flow parameters. The influence of different parameters on the present flow solution is shown through graphs with a discussion. These graphs refer to the fact that increasing numbers of Reynolds and Hartmann give the attribute of decreasing velocity, with the addition that with an increase in Hartmann number and decrease in Reynolds number the streamlines are stretched towards the x‐axis. Finally, the optimal perturbation iteration algorithm is effective and highly able to obtain excellent results.