Alireza Azimi

Analytical Investigation on 2-D Unsteady MHD Viscoelastic Flow between Moving Parallel Plates Using RVIM and HPM

In this paper the velocity fields associated with the two-dimensional unsteady magnetohydrodynamic (MHD) flow of a viscous fluid between moving parallel plates have been investigated. The governing Navier-Stokes equations for the flow are reduced to a fourth order nonlinear ordinary differential equation. The Homotopy Perturbation Method (HPM) and Reconstruction of Variational Iteration Method (RVIM) have been used to achieve analytical solutions. The obtained approximate results have been compared with numerical ones and results from pervious works in some cases. It has been shown that the current study is accurate and validated and can be used for other nonlinear cases. doi: 10.14456/WJST.2014.70

Application of HPM to find analytical solution of coette flow with variable viscosity

Abstract In this paper, the couette flow of fluid with variable viscosity is studied analytically by using Homotopy Pertubation Method (HPM). At first the basic idea of Homotopy Pertubation Method (HPM) is presented. The mathematical formulation and application of HPM to nonlinear problem are presented in section three. In order to check the validity of solution the analytical results are compared with exact ones for various numerical cases. The good agreement between exact method and Homotopy Pertubation Method has been assures us about the solution accuracy.