MHD Flow of Fourth Grade Fluid Solve by Perturbation-Iteration Algorithm

Abstract

In this paper, a perturbation-iteration algorithm is used to solve nonlinear differential equations which represent the steady incompressible flow problem of a fourth grade non-Newtonian fluid between two stationary parallel plates in the presence of magnetic field. The governing partial differential equations have been transformed into an ordinary differential equation, before being solved. The numerical results have been computed and compared with the results of other methods. Moreover, the convergence of the numerical results has been tested for various values of physical parameters. The influence of some physical parameters such as the slip parameter, non-Newtonian parameter and magnetic field parameter on velocity is explained. The results show the reliability and efficiency of this analytical method.