Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.enganabound.2005.09.003
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dc.titleA modified Rayleigh-Plesset model for a non-spherically symmetric oscillating bubble with applications to boundary integral methods
dc.contributor.authorKlaseboer, E.
dc.contributor.authorKhoo, B.C.
dc.date.accessioned2014-06-16T09:30:59Z
dc.date.available2014-06-16T09:30:59Z
dc.date.issued2006-01
dc.identifier.citationKlaseboer, E., Khoo, B.C. (2006-01). A modified Rayleigh-Plesset model for a non-spherically symmetric oscillating bubble with applications to boundary integral methods. Engineering Analysis with Boundary Elements 30 (1) : 59-71. ScholarBank@NUS Repository. https://doi.org/10.1016/j.enganabound.2005.09.003
dc.identifier.issn09557997
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/54426
dc.description.abstractIn this article the analytical solution to the Rayleigh-Plesset equation for a spherically symmetric oscillating bubble is extended to apply to the much more general (non-spherically symmetric) bubble configuration. An equivalent bubble radius and an equivalent bubble wall velocity are introduced in order to do so. The influence of gravity, surface tension, nearby solid walls, vapor bubbles, bubbles filled with adiabatic or isothermal gas have been considered in the model. An interesting outcome is that the equivalent bubble wall velocity is no longer the time derivative of the equivalent bubble radius. This observation can possibly explain why in various numerical and experimental observations the oscillation time of a bubble changes when compared to that of a standalone bubble; near a solid surface it increases while it decreases when the bubble is placed near a free surface. The current developed theory can be further employed to ascertain the accuracy of a numerical scheme simulating bubble dynamics in an incompressible surrounding flow approximation. An often used numerical technique to simulate such bubble dynamics is the boundary integral method (BIM). © 2005 Elsevier Ltd. All rights reserved.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/j.enganabound.2005.09.003
dc.sourceScopus
dc.subjectBoundary element method
dc.subjectNon-spherical oscillating bubbles
dc.subjectRayleigh-Plesset equation
dc.subjectTheoretical solution
dc.typeArticle
dc.contributor.departmentMECHANICAL ENGINEERING
dc.description.doi10.1016/j.enganabound.2005.09.003
dc.description.sourcetitleEngineering Analysis with Boundary Elements
dc.description.volume30
dc.description.issue1
dc.description.page59-71
dc.description.codenEABAE
dc.identifier.isiut000234634300007
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