Saffman, P. G. (1991) Approach of a vortex pair to a rigid free surface in viscous fluid. Physics of Fluids A, 3 (5). pp. 984-985. ISSN 0899-8213. doi:10.1063/1.857976. https://resolver.caltech.edu/CaltechAUTHORS:SAFpofa91
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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.
Item Type: | Article | ||||||
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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. | ||||||
Subject Keywords: | INCOMPRESSIBLE FLOW, VISCOUS FLOW, VORTICES, EQUATIONS OF MOTION, WALLS, SLIP FLOW | ||||||
Issue or Number: | 5 | ||||||
DOI: | 10.1063/1.857976 | ||||||
Record Number: | CaltechAUTHORS:SAFpofa91 | ||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:SAFpofa91 | ||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
ID Code: | 10153 | ||||||
Collection: | CaltechAUTHORS | ||||||
Deposited By: | Archive Administrator | ||||||
Deposited On: | 15 Apr 2008 | ||||||
Last Modified: | 08 Nov 2021 21:05 |
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