On the Unsteady Motion of a Viscous Hydromagnetic Fluid Contained in a Cylindrical Vessel

[+] Author and Article Information
R. N. Groves

Department of Mechanics, U. S. Military Academy, West Point, N. Y.

J. Appl. Mech 33(4), 748-752 (Dec 01, 1966) (5 pages) doi:10.1115/1.3625177 History: Received April 21, 1965; Revised September 13, 1965; Online September 15, 2011


The problem of unsteady motion of an electrically conducting viscous liquid contained in a cylindrical vessel in the presence of an axially symmetric magnetic field of constant strength has been solved exactly by using concurrently two methods of operational calculus—the finite Hankel transform, and the Laplace transform. Results of these operations for general boundary conditions are presented in convolution integral form. The exact solutions of two special cases are presented in terms of tabulated functions, including those especially developed for the purposes of this paper. By examining the limiting cases of these special results, verification of results that have previously appeared in the literature and other interesting phenomena arise.

Copyright © 1966 by ASME
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