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Theory of the Collapsing Axisymmetric Cavity by Eggers, J.; Fontelos, M. A.; Leppinen, D.; Snoeijer, J. H. is a scholarly article available to read on EtoBox.

What is Theory of the Collapsing Axisymmetric Cavity about?

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 show that the minimum radius of the cavity scales like $h_0 \propto t'^{\alpha}$, where $t'$ is the time from collapse. The exponent $\alpha$ very slowly approaches a universal value according to $\alpha=1/2 + 1/(4\sqrt{-\ln(t')})$. Thus, as observed in a number of recent experiments, the scaling can easily be interpreted as evidence of a single non-trivial scaling exponent. Our predictions are confirmed by numerical simulations.

Author

Eggers, J.; Fontelos, M. A.; Leppinen, D.; Snoeijer, J. H.

Published

2006

Language

EN