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Simulations of the formation of an axisymmetric vortex ring

Published online by Cambridge University Press:  25 May 1997

R. S. HEEG  and
N. RILEY
R. S. HEEG
Affiliation:
Department of Mathematics, University of Groningen, PO Box 800, 9700 AV Groningen, The Netherlands
N. RILEY
Affiliation:
School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK
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Abstract

In this paper we present the results from numerical calculations, based upon the Navier–Stokes equations at relatively high Reynolds number, of the formation of a vortex ring when fluid is ejected from a circular tube. Our results are compared with the experiments of Didden (1979), and the inviscid flow calculations of Nitsche & Krasny (1994). Reasonable agreement is achieved except for the rate of shedding of circulation during the initial stages of ring formation. The theoretically predicted rate of shedding is substantially higher than that predicted by Didden. By contrast the inviscid theory predicts an anomalously high rate of initial shedding. We offer explanations for both of these apparent discrepancies.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 339 , 25 May 1997 , pp. 199 - 211
Copyright
© 1997 Cambridge University Press

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