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1 International Journal of Applied Mechanics and Engineering

1 2010

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Hydromagnetic flow due to ramped motion of the boundary

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Jha B. K. , Jibril H. M.

tom Vol. 15, no 4

1101-1109

The unsteady flow of a viscous, incompressible and electrically conducting fluid subject to a uniform transverse magnetic field near a horizontal plate having ramped motion is considered. A unified closed form analytical solutions have been obtained for the velocity field and the skin-friction corresponding to the cases of a magnetic field fixed relative to the fluid or the moving boundary. Under the assumption of a negligible induced magnetic field, the governing momentum equation has been solved exactly by using the Laplace-transform technique. The flow formation near ramped motion of the plate has also been compared with the flow formation near a plate having constant motion (impulsive motion). It is observed that velocity of the fluid in the case of ramped motion of the plate is always less than that of the flow induced by impulsive motion of the plate.