## Abstract

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.

Translated title of the contribution | Theory of the collpasing axisymmetric cavity |
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Original language | English |

Article number | Article no. 094502 |

Pages (from-to) | 1 - 4 |

Number of pages | 4 |

Journal | Physical Review Letters |

Volume | 98 (9, 094502) |

DOIs | |

Publication status | Published - Mar 2007 |