Please use this identifier to cite or link to this item:
Title: On the boundary integral method for the rebounding bubble
Authors: Lee, M.
Klaseboer, E.
Khoo, B.C. 
Issue Date: 10-Jan-2007
Citation: Lee, M., Klaseboer, E., Khoo, B.C. (2007-01-10). On the boundary integral method for the rebounding bubble. Journal of Fluid Mechanics 570 : 407-429. ScholarBank@NUS Repository.
Abstract: The formation of a toroidal bubble towards the end of the bubble collapse stage in the neighbourhood of a solid boundary has been successfully studied using the boundary integral method. The further evolution (rebound) of the toroidal bubble is considered with the loss of system energy taken into account. The energy loss is incorporated into a mathematical model by a discontinuous jump in the potential energy at the minimum volume during the short collapse-rebound period accompanying wave emission. This implementation is first tested with the spherically oscillating bubble system using the theoretical Rayleigh - Plesset equation. Excellent agreement with experimental data for the bubble radius evolution up to three oscillation periods is obtained. Secondly, the incorporation of energy loss is tested with the motion of an oscillating bubble system in the neighbourhood of a rigid boundary, in an axisymmetric geometry, using a boundary integral method. Example calculations are presented to demonstrate the possibility of capturing the peculiar entity of a counterjet, which has been reported only in recent experimental studies. © 2007 Cambridge University Press.
Source Title: Journal of Fluid Mechanics
ISSN: 00221120
DOI: 10.1017/S0022112006003296
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.


checked on Aug 3, 2020


checked on Aug 3, 2020

Page view(s)

checked on Aug 3, 2020

Google ScholarTM



Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.