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Bursting water balloons

Published online by Cambridge University Press:  04 September 2014

Hugh M. Lund  and
Stuart B. Dalziel
Hugh M. Lund*
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK
Stuart B. Dalziel
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK
*
†Email address for correspondence: hugh.lund@gmail.com
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Abstract

The impact and rupture of a water-filled latex balloon on a flat, rigid surface is investigated using high-speed photography. Three distinct stages of the flow are observed, for which physical explanations are given. As the balloon lands and deforms, waves are formed on the balloon’s surface for which the restoring force is tension in the latex. These waves are shown to closely obey linear potential theory for constant surface tension. Should the balloon rupture, a crack forms, from which the membrane retracts. Spray is simultaneously ejected from the water’s surface, a consequence of a shear instability in the wake behind the retracting membrane. At later times, a larger-scale growth of the interfacial amplitude is observed, for which the generation mechanism is momentum in the water due to the preburst waves. However, it is argued that this is also a manifestation of the same mechanism that drives Richtmyer–Meshkov instability (RMI). Further, it is shown experimentally that this growth of the interface may also occur when there is no density difference across the balloon, a situation that does not arise for the standard RMI. An analytical model is then derived to predict the interfacial growth for such an interface, and is shown to predict the asymptotic growth rate of the interface accurately.

JFM classification

Instability: Instability
Type
Papers
Information
Journal of Fluid Mechanics , Volume 756 , 10 October 2014 , pp. 771 - 815
Copyright
© 2014 Cambridge University Press 

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Lund and Dalziel supplementary movie

A 300mm water-filled balloon is dropped from a height of 1m onto a flat, rigid surface. After impact at t=0, the balloon deforms, causing it to rupture. The video was recorded at 5400fps.

Download Lund and Dalziel supplementary movie(Video)
Video 2 MB

Lund and Dalziel supplementary movie

A 130mm water-filled balloon is oscillated in air at 120hz, before being ruptured by a pin at time t=0. The video was recorded at 5400fps.

Download Lund and Dalziel supplementary movie(Video)
Video 2.3 MB

Lund and Dalziel supplementary movie

A 130mm water-filled balloon is submerged in water and oscillated at 170hz, before being ruptured by a pin a t=0. The video was recorded at 5400fps.

Download Lund and Dalziel supplementary movie(Video)
Video 3.4 MB