Oscillatory Characteristics of Unsteady MHD Channel Flows Under Heaviside-Type Applied Magnetic Fields

[+] Author and Article Information
Arsev H. Eraslan

Department of Aerospace Engineering, The University of Tennessee Space Institute, Tullahoma, Tenn.

J. Appl. Mech 34(4), 854-859 (Dec 01, 1967) (6 pages) doi:10.1115/1.3607847 History: Received August 11, 1966; Online September 14, 2011


The unsteady, fully developed MHD channel flow of a viscous, electrically conducting fluid is investigated under Heaviside-type applied magnetic fields. The fluid is assumed to be of constant properties and the Hall effect is neglected. The exact solutions, for the velocity and the induced magnetic fields, are obtained by Laplace and finite Fourier transforms for the ideally conducting wall conditions. It is shown that, during the transition from hydrodynamic to magnetohydrodynamic conditions, the flow undergoes strong oscillations, depending on the characteristic parameters, magnetic Prandtl number, and the Hartmann number, in contrast to the nonoscillatory transition from magnetohydrodynamic to hydrodynamic conditions.

Copyright © 1967 by ASME
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