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Published May 1, 1991 | public
Journal Article Open

Approach of a vortex pair to a rigid free surface in viscous fluid

Saffman, P. G.

Abstract

The motion in a viscous incompressible fluid of a vortex pair toward a rigid plane wall on which slip is allowed is considered. It is shown that the centroids of vorticity do not approach the wall monotonically, and there is some rebound at a rate depending upon the viscosity and initial separation of the vortices.

Additional Information

Copyright © 1991 American Institute of Physics. Received 3 October 1990; accepted 26 November 1990. I wish to thank Dr. A. Leonard for bringing this topic to my attention. The research was supported by U.S. Department of Energy Grant No. DE-FG03-89ER25073.

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