Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-27T19:35:48.022Z Has data issue: false hasContentIssue false
  • English
  • Français

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]
Get access Rights & Permissions [Opens in a new window]

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 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Cheng, M., Lou, J. & Lim, T. T. 2013 Motion of a bubble ring in a viscous fluid. Phys. Fluids 25, 1–19.Google Scholar
Gan, L., Dawson, J. R. & Nickels, T. B. 2012 On the drag of turbulent vortex rings. J. Fluid Mech. 709, 85–105.Google Scholar
Hershberger, R. E., Bolster, D. & Donnelly, R. J. 2010 Slowing of vortex rings by development of Kelvin waves. Phys. Rev. E 82, 036309.Google Scholar
Joseph, D., Funada, T. & Wang, J. 2007 Potential Flows of Viscous and Viscoelastic Liquids. Cambridge University Press.CrossRefGoogle Scholar
Krutzsch, C. H. 1939 Ber eine experimentell Beobachtete Erscheinung an Wirbelringen bei ihrer translatorischen Bewegung in Wirklichen Flussigkeiten. Ann. Phys. Berlin 427 (6), 497–523.Google Scholar
Lundgren, T. S. & Mansour, N. N. 1991 Vortex ring bubbles. J. Fluid Mech. 224, 177–196.Google Scholar
Maxworthy, T. 1972 The structure and stability of vortex rings. J. Fluid Mech. 51, 15–32.CrossRefGoogle Scholar
Pedley, T. J. 1968 The toroidal bubble. J. Fluid Mech. 32, 97–112.CrossRefGoogle Scholar
Reynolds, O. 1876 On the resistance encountered by vortex rings and the relation between the vortex rings and the streamlines of a disk. Nature 14, 477–479.Google Scholar
Sirakov, B. T., Greitzer, E. M. & Tan, C. S. 2005 A note on irrotational viscous flow. Phys. Fluids 17 (10), 1–3.Google Scholar
Sullivan, I. S., Niemela, J. J., Hershberger, R. E., Bolster, D. & Donnelly, R. J. 2008 Dynamics of thin vortex rings. J. Fluid Mech. 609, 319–347.Google Scholar
Turner, J. S. 1957 Buoyant vortex rings. Proc. R. Soc. Lond. A 239, 61–75.Google Scholar
Walker, J. D. A., Smith, C. R., Cerra, A. W. & Doligalski, T. L. 1987 The impact of a vortex ring on a wall. J. Fluid Mech. 181, 99–140.Google Scholar
Walters, J. K. & Davidson, J. F. 1963 The initial motion of a gas bubble formed in an inviscid liquid. J. Fluid Mech. 17, 321–336.Google Scholar