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Numerical simulations of non-spherical bubble collapse

Johnsen, Eric and Colonius, Tim (2009) Numerical simulations of non-spherical bubble collapse. Journal of Fluid Mechanics, 629 . pp. 231-262. ISSN 0022-1120.

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A high-order accurate shock- and interface-capturing scheme is used to simulate the collapse of a gas bubble in water. In order to better understand the damage caused by collapsing bubbles, the dynamics of the shock-induced and Rayleigh collapse of a bubble near a planar rigid surface and in a free field are analysed. Collapse times, bubble displacements, interfacial velocities and surface pressures are quantified as a function of the pressure ratio driving the collapse and of the initial bubble stand-off distance from the wall; these quantities are compared to the available theory and experiments and show good agreement with the data for both the bubble dynamics and the propagation of the shock emitted upon the collapse. Non-spherical collapse involves the formation of a re-entrant jet directed towards the wall or in the direction of propagation of the incoming shock. In shock-induced collapse, very high jet velocities can be achieved, and the finite time for shock propagation through the bubble may be non-negligible compared to the collapse time for the pressure ratios of interest. Several types of shock waves are generated during the collapse, including precursor and water-hammer shocks that arise from the re-entrant jet formation and its impact upon the distal side of the bubble, respectively. The water-hammer shock can generate very high pressures on the wall, far exceeding those from the incident shock. The potential damage to the neighbouring surface is quantified by measuring the wall pressure. The range of stand-off distances and the surface area for which amplification of the incident shock due to bubble collapse occurs is determined.

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Colonius, Tim0000-0003-0326-3909
Additional Information:Copyright © Cambridge University Press 2009. (Received 10 September 2008 and in revised form 25 January 2009). Published online by Cambridge University Press 15 June 2009. The authors wish to thank W. Kreider and M. Bailey for sharing their experimental results and initiating the study of the energy radiation upon collapse, and K. Ando for helpful discussions on phase change. This work was supported by NIH Grant PO1 DK043881 and ONR Grant N00014-06-1-0730.
Funding AgencyGrant Number
NIHPO1 DK043881
Office of Naval Research (ONR)N00014-06-1-0730
Record Number:CaltechAUTHORS:20090904-093528277
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:15603
Deposited By: George Porter
Deposited On:11 Sep 2009 15:51
Last Modified:03 Oct 2019 01:00

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