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A numerical study of vortex ring formation at the edge of a circular tube

Published online by Cambridge University Press:  26 April 2006

Monika Nitsche  and
Robert Krasny
Monika Nitsche
Affiliation:
Program in Applied Mathematics, University of Colorado, Boulder, CO 80309–0526, USA
Robert Krasny
Affiliation:
Department of Mathematics, University of Michigan, Ann Arbor, MI 48109–1003, USA
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Abstract

An axisymmetric vortex-sheet model is applied to simulate an experiment of Didden (1979) in which a moving piston forces fluid from a circular tube, leading to the formation of a vortex ring. Comparison between simulation and experiment indicates that the model captures the basic features of the ring formation process. The computed results support the experimental finding that the ring trajectory and the circulation shedding rate do not behave as predicted by similarity theory for starting flow past a sharp edge. The factors responsible for the discrepancy between theory and observation are discussed.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 276 , 10 October 1994 , pp. 139 - 161
Copyright
© 1994 Cambridge University Press

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