Potential Vortex Flow Adjacent to a Stationary Surface

[+] Author and Article Information
G. J. Kidd

Oak Ridge National Laboratory, Union Carbide Corporation, Nuclear Division, Oak Ridge, Tenn.

G. J. Farris

Engineering Science Section, Computing Technology Center, Union Carbide Corporation, Nuclear Division, Oak Ridge, Tenn.

J. Appl. Mech 35(2), 209-215 (Jun 01, 1968) (7 pages) doi:10.1115/1.3601182 History: Received November 20, 1967; Online September 14, 2011


The equations describing the flow produced by the interaction of a potential vortex with a stationary surface are solved by means of similarity transformations. In previous attempts at solutions, use was made of the boundary-layer approximations (in which case no solution can be obtained) or a particular form was assumed for one of the velocity components. In this analysis, where the only restriction is that the flow be similar, solutions are obtained for tangential Reynolds numbers up to 4.75. The numerical method employed is based on a recently proposed technique for solving ordinary differential equations with asymptotic boundary conditions.

Copyright © 1968 by ASME
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