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 http://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 |
| Record Number: | CaltechAUTHORS:SAFpofa91 |
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:SAFpofa91 |
| Alternative URL: | http://dx.doi.org/10.1063/1.857976 |
| 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: | 26 Dec 2012 09:57 |
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