Differential transformation method to determine magneto hydrodynamics flow of compressible fluid in a channel with porous walls

Reza Mohammadyari; Mazaher Rahimi-Esbo; Alireza Khalili Asboei

doi:10.5269/bspm.v32i2.21618

Authors

Reza Mohammadyari Islamic Azad University Department of Mathematics
Mazaher Rahimi-Esbo Babol University of Technology Department of Mechanical Engineering
Alireza Khalili Asboei Farhangian University Department of Mathematics

DOI:

https://doi.org/10.5269/bspm.v32i2.21618

Keywords:

MHD Flow, Compressible Fluid, Boundary layer, DTM, BVP

Abstract

In this article magneto hydrodynamics (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 Differential Transformation Method (DTM). In addition to applying DTM 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.