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Energy and velocity of a forming vortex ring

Shusser, Michael and Gharib, Morteza (2000) Energy and velocity of a forming vortex ring. Physics of Fluids, 12 (3). pp. 618-621. ISSN 1070-6631. doi:10.1063/1.870268.

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It is known that vortex rings formed by large stroke ratios (in a piston/cylinder arrangement) pinch off from their generating jets at a fairly constant universal time scale. In this paper we show that the hypothesis that at the pinch off the translational velocity of the ring equals the jet flow velocity near the ring is equivalent to the recently proposed idea based on a variational principle by Kelvin and Benjamin that the pinch off occurs when the apparatus is no longer able to deliver energy at a rate required for steady vortex ring existence. A formula for the propagation velocity of a thick vortex ring is also proposed and compared with available experimental data and empirical relations.

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Additional Information:©2000 American Institute of Physics. (Received 4 May 1999; accepted 15 November 1999)
Subject Keywords:vortices; velocity; jets
Issue or Number:3
Record Number:CaltechAUTHORS:SHUpof00
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2993
Deposited By: Archive Administrator
Deposited On:10 May 2006
Last Modified:08 Nov 2021 19:52

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