Open Access Research

MHD boundary layer flow due to a moving wedge in a parallel stream with the induced magnetic field

Khamisah Jafar1*, Roslinda Nazar2, Anuar Ishak2 and Ioan Pop3

Author Affiliations

1 Faculty of Engineering & Built Environment, Universiti Kebangsaan Malaysia, UKM, Bangi, Selangor, 43600, Malaysia

2 School of Mathematical Sciences, Faculty of Science & Technology, Universiti Kebangsaan Malaysia, UKM, Bangi, Selangor, 43600, Malaysia

3 Department of Mathematics, Babeş-Bolyai University, Cluj-Napoca, 400084, Romania

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Boundary Value Problems 2013, 2013:20  doi:10.1186/1687-2770-2013-20

Published: 11 February 2013

Abstract

The present analysis considers the steady magnetohydrodynamic (MHD) laminar boundary layer flow of an incompressible electrically conducting fluid caused by a continuous moving wedge in a parallel free stream with a variable induced magnetic field parallel to the wedge walls outside the boundary layer. Using a similarity transformation, the governing system of partial differential equations is first transformed into a system of ordinary differential equations in the form of a two-point boundary value problem (BVP) and then solved numerically using a finite difference scheme known as the Keller box method. Numerical results are obtained for the velocity profiles and the skin friction coefficient for various values of the moving parameter λ, the wedge parameter β, the reciprocal magnetic Prandtl number α and the magnetic parameter S. Results indicate that when the wedge and the fluid move in the opposite directions, multiple solutions exist up to a critical value <a onClick="popup('http://www.boundaryvalueproblems.com/content/2013/1/20/mathml/M1','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2013/1/20/mathml/M1">View MathML</a> of the moving parameter λ, whose value depends on the values of S and β.

MSC: 34B15, 76D10.

Keywords:
boundary layer; magnetohydrodynamic; induced magnetic field; moving wedge