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An Oscillatory Hydromagnetic Couette Flow in a Rotating System
Author(s) -
Singh K.D.
Publication year - 2000
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/1521-4001(200006)80:6<429::aid-zamm429>3.0.co;2-1
Subject(s) - ekman number , physics , couette flow , mechanics , plane (geometry) , flow (mathematics) , magnetic field , classical mechanics , boundary layer , rotating magnetic field , taylor–couette flow , rest (music) , mathematics , geometry , acoustics , quantum mechanics
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.