Theory of the Collapsing Axisymmetric Cavity

David Leppinen, J Eggers, MA Fontelos, JA Snoeijer

Research output: Contribution to journalArticle

81 Citations (Scopus)


We investigate the collapse of an axisymmetric cavity or bubble inside a fluid of small viscosity, like water. Any effects of the gas inside the cavity as well as of the fluid viscosity are neglected. Using a slender-body description, we compute the local scaling exponent alpha=dlnh(0)/dlnt(') of the minimum radius h(0) of the cavity, where t(') is the time from collapse. The exponent alpha very slowly approaches a universal value according to alpha=1/2+1/[4 root(-ln(t(')))]. Thus, as observed in a number of recent experiments, the scaling can easily be interpreted as evidence of a single nontrivial scaling exponent. Our predictions are confirmed by numerical simulations.
Original languageEnglish
Pages (from-to)094502-1(4)
JournalPhysical Review Letters
Publication statusPublished - 1 Mar 2007


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