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A semi-analytic approach to the self-induced motion of vortex sheets

Published online by Cambridge University Press:  20 April 2006

Leonard W. Schwartz
Leonard W. Schwartz
Affiliation:
Joint Institute for Aeronautics and Acoustics, Department of Aeronautics and Astronautics, Stanford University, California 94305 Exxon Corporate Research Laboratory, Linden New Jersey 07036.
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Abstract

The rolling-up of the trailing vortex sheet produced by a wing of finite span is calculated as a series expansion in time. For a vorticity distribution corresponding to a wing with cusped tips, the shape of the sheet is found by summing the series using Padé approximants. The sheet remains analytic for some time but ultimately develops an exponential spiral at the tips. The centroid of vorticity is conserved to high accuracy.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 111 , October 1981 , pp. 475 - 490
Copyright
© 1981 Cambridge University Press

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