Homotopy Analysis Method to determine Magneto Hydrodynamics flow of compressible fluid in a channel with porous walls

Reza Mohammadyari; J. Rahimipetroudi; Iman Rahimipetroudi; Mazaher Rahimi Esboee

doi:10.5269/bspm.v34i1.25865

Reza Mohammadyari Islamic Azad University
J. Rahimipetroudi Islamic Azad University
Iman Rahimipetroudi Islamic Azad University
Mazaher Rahimi Esboee Islamic Azad University https://orcid.org/0000-0002-8432-4939

DOI: https://doi.org/10.5269/bspm.v34i1.25865

Keywords: MHD Flow, Compressible fluid, Boundary layer, HAM, BVP

Abstract

In this article magnetohydrodynamics (MHD) boundary layer flow of compressible fluid in a channel with porous walls is researched. In this study it is shown that the nonlinear Navier-Stokes equations can be reduced to an ordinary differential equation, using the similarity transformations and boundary layer approximations. Analytical solution of the developed nonlinear equation is carried out by the Homotopy Analysis Method (HAM). In addition to applying HAM into the obtained equation, the result of the mentioned method is compared with a type of numerical analysis as Boundary Value Problem method (BVP) and a good agreement is seen. The effects of the Reynolds number and Hartman number are investigated.

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Author Biographies

Reza Mohammadyari, Islamic Azad University

Young Researchers Club

J. Rahimipetroudi, Islamic Azad University

Young Researchers Club

Sari Branch

Iman Rahimipetroudi, Islamic Azad University

Young Researchers Club

Sari Branch

Mazaher Rahimi Esboee, Islamic Azad University

Young Researchers and Elite Club,

Buin zahra Branch

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