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

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
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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