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Dynamics of thin vortex rings

Published online by Cambridge University Press:  31 July 2008

IAN S. SULLIVAN ,
JOSEPH J. NIEMELA ,
ROBERT E. HERSHBERGER ,
DIOGO BOLSTER  and
RUSSELL J. DONNELLY
IAN S. SULLIVAN
Affiliation:
Department of Physics, University of Oregon, Eugene, OR 97403, USA
JOSEPH J. NIEMELA
Affiliation:
Department of Physics, University of Oregon, Eugene, OR 97403, USA
ROBERT E. HERSHBERGER
Affiliation:
Department of Physics, University of Oregon, Eugene, OR 97403, USA
DIOGO BOLSTER
Affiliation:
Department of Physics, University of Oregon, Eugene, OR 97403, USA
RUSSELL J. DONNELLY
Affiliation:
Department of Physics, University of Oregon, Eugene, OR 97403, USA
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Abstract

As part of a long-range study of vortex rings, their dynamics, interactions with boundaries and with each other, we present the results of experiments on thin core rings generated by a piston gun in water. We characterize the dynamics of these rings by means of the traditional equations for such rings in an inviscid fluid suitably modifying them to be applicable to a viscous fluid. We develop expressions for the radius, core size, circulation and bubble dimensions of these rings. We report the direct measurement of the impulse of a vortex ring by means of a physical pendulum.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 609 , 25 August 2008 , pp. 319 - 347
Copyright
Copyright © Cambridge University Press 2008

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