Finite element analysis of magnetohydrodynamic flow over flat surface moving in parallel free stream with viscous dissipation and Joule heating
ISSN: 0264-4401
Article publication date: 3 July 2018
Issue publication date: 23 July 2018
Abstract
Purpose
The purpose of this paper is to investigate two-dimensional viscous incompressible magnetohydrodynamic boundary layer flow and heat transfer of an electrically conducting fluid over a continuous moving flat surface considering the viscous dissipation and Joule heating.
Design/methodology/approach
Suitable similarity variables are introduced to reduce the governing nonlinear boundary layer partial differential equations to ordinary differential equations. A numerical solution of the resulting two-point boundary value problem is carried out by using the finite element method with the help of Gauss elimination technique.
Findings
A comparison of obtained results is made with the previous work under the limiting cases. Behavior of flow and thermal fields against various governing parameters like mass transfer parameter, moving flat surface parameter, magnetic parameter, Prandtl number and Eckert number are analyzed and demonstrated graphically. Moreover, shear stress and heat flux at the moving surface for various values of the physical parameters are presented numerically in tabular form and discussed in detail.
Originality/value
The work is relatively original, as very little work has been reported on magnetohydrodynamic flow and heat transfer over a continuous moving flat surface. Viscous dissipation and Joule heating are neglected in most of the previous studies. The numerical method applied to solve governing equations is finite element method which is new and efficient.
Keywords
Acknowledgements
The authors gratefully acknowledged the financial support received in the form of institute research fellowship from the Malaviya National Institute of Technology Jaipur and MHRD, India. Grant Number: F.4.R (PhD) Acdm/MNIT/2014/60.
Citation
Chaudhary, S. and Choudhary, M.K. (2018), "Finite element analysis of magnetohydrodynamic flow over flat surface moving in parallel free stream with viscous dissipation and Joule heating", Engineering Computations, Vol. 35 No. 4, pp. 1675-1693. https://doi.org/10.1108/EC-02-2017-0062
Publisher
:Emerald Publishing Limited
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