Abstract
An exact solution of hydromagnetic oscillatory Ekman boundary layer flow of an electrically conducting fluid between two parallel flat plates, one of which is at rest and the other oscillating in its own plane, is obtained when the entire system rotates about an axis normal to the plates. Neglecting the induced magnetic field, the effects of the transversely applied magnetic field on the flow are studied. For M = 0, the problem reduces to the one discussed by Ganapathy [8]. During the mathematical analysis it is found that even the claim of Ganapathy [8] that the solution of Mazumder [7] explains the important phenomenon of resonance in rotating systems is incorrect.
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