Research
MHD boundary layer flow due to a moving wedge in a parallel stream with the induced magnetic field
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
Boundary Value Problems 2013, 2013:20 doi:10.1186/1687-2770-2013-20
Published: 11 February 2013Abstract
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 
of the moving parameter λ, whose value depends on the values of S and β.
MSC: 34B15, 76D10.
