Comparative Analysis of MHD Boundary-Layer Flow of Viscoelastic Fluid in Permeable Channel with Slip Boundaries by using HAM, VIM, HPM

Abstract

In this present study, the problem of two-dimensional magnetohydrodynamic (MHD) boundary layer flow of steady, laminar flow of an incompressible, viscoelastic fluid in a parallel plate channel with slip at the boundaries is presented. The upper convected Maxwell model is implemented due to its accuracy in simulating highly elastic fluid flows at high Deborah numbers. Moreover, this paper deals with the solution of third order of nonlinear ordinary differential equations which are solved by using three analytical approximate methods, namely the Homotopy Analysis Method (HAM), Homotopy Perturbation Method (HPM), and Variational Iteration Method (VIM). The comparisons of these results reveal that HAM is very effective, convenient and quite accurate for non-linear ordinary differential equation. In addition, this work demonstrates that HAM is able to solve problems with mixed (Robin) as well as other boundary conditions.