Magnetohydrodynamic flow over a moving plate in a parallel stream with an induced magnetic field |
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Authors: | Khamisah Jafar Roslinda Nazar Anuar Ishak Ioan Pop |
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Institution: | (1) School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia;(2) Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia;(3) Faculty of Mathematics, University of Cluj, CP 253, 3400 Cluj, Romania |
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Abstract: | A viscous boundary layer flow of an electrically-conducting fluid over a moving flat plate in a parallel stream with a constant
magnetic field applied outside the boundary layer parallel to the plate was investigated. The governing system of partial
differential equations was transformed to ordinary differential equations using a similarity transformation. The similarity
equations were then solved numerically using a finite-difference scheme known as the Keller-box method. Numerical results
of the skin friction coefficient, velocity profiles, and the induced magnetic field profiles were obtained for some values
of the moving parameter, magnetic parameter, and reciprocal magnetic Prandtl number. The results indicate that dual solutions
exist when the plate and the fluid move in the opposite directions up to a critical value of the moving parameter, whose value
depends on the value of the magnetic parameter. |
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Keywords: | |
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