Abstract

Uniformly valid solutions are obtained for the hydromagnetic flow at a moving plate and at an oscillating plate. In each case, two different representations for the solution are presented. On one representation a half order fractional operator is used, whereas the other representation did not rely on fractional operator. Solutions for special cases of the oscillating plate are calculated for finite times. Furthermore, the effects of the nondimensional numbers M (the magnetic parameter), Re (the suction Reynolds number) on the flow are compared with the existing results and are discussed.

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