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Boundary-layer-induced potential flow on an elliptic cylinder

Published online by Cambridge University Press:  29 March 2006

Stanley G. Rubin  and
Frank J. Mummolo
Stanley G. Rubin
Affiliation:
Preston R. Bassett Research Laboratory, Polytechnic Institute of New York, Farmingdale
Frank J. Mummolo
Affiliation:
Preston R. Bassett Research Laboratory, Polytechnic Institute of New York, Farmingdale
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Abstract

The application of slender-body theory to the evaluation of the three-dimensional surface velocities induced by a boundary layer on an elliptic cylinder is considered. The method is applicable when the Reynolds number is sufficiently large so that the thin-boundary-layer approximation is valid. The resulting potential problem is reduced to a two-dimensional consideration of the flow over an expanding cylinder with porous boundary conditions. The limiting solutions for a flat plate of finite span and a nearly circular cross-section are obtained in a simple analytic form. In the former case, within the limitations of slender-body theory, the results are in exact agreement with the complete three-dimensional solution for this geometry.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 66 , Issue 1 , 21 October 1974 , pp. 145 - 157
Copyright
© 1974 Cambridge University Press

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