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A balloon bursting underwater

Published online by Cambridge University Press:  25 March 2015

A. R. Vasel-Be-Hagh ,
R. Carriveau  and
D. S.-K. Ting
A. R. Vasel-Be-Hagh*
Affiliation:
Turbulence and Energy Laboratory, Lumley Centre for Engineering Innovation, University of Windsor, Ontario, Canada N9B 3P4
R. Carriveau
Affiliation:
Turbulence and Energy Laboratory, Lumley Centre for Engineering Innovation, University of Windsor, Ontario, Canada N9B 3P4
D. S.-K. Ting
Affiliation:
Turbulence and Energy Laboratory, Lumley Centre for Engineering Innovation, University of Windsor, Ontario, Canada N9B 3P4
*
†Email address for correspondence: [email protected]
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Abstract

A buoyant vortex ring produced by an underwater bursting balloon was studied experimentally. The effect of dimensionless surface tension on characteristics including rise velocity, rate of expansion, circulation, trajectory, and lifetime of the vortex ring bubble was investigated. Results showed reasonable agreement with the literature on vortex rings produced by conventional approaches. It was observed that as the dimensionless surface tension increased, the rise velocity, the circulation and consequently the stability of the vortex ring bubble increased; however, the rate of expansion tends toward constant values. A semi-analytical model is proposed by modifying the drag-based model presented by Sullivan et al. (J. Fluid Mech., vol. 609, 2008, pp. 319–347) to make it applicable to buoyant vortex rings. The modified model suggests that the vortex ring expansion is essentially due to the buoyancy force. An expression is also derived for the circulation in terms of the initial volume of the balloon and the depth at which the balloon bursts.

JFM classification

Drops and Bubbles: Bubble dynamics Vortex Flows: Vortex dynamics
Type
Papers
Information
Journal of Fluid Mechanics , Volume 769 , 25 April 2015 , pp. 522 - 540
Copyright
© 2015 Cambridge University Press 

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