Theory of the collapsing axisymmetric cavity

Details Theory of the collapsing axisymmetric cavity Theory of the collapsing axisymmetric cavity

2006-10-18

arxiv.org/abs/physics/0610139v1

Physics

Fluid Dynamics

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Theory of the collapsing axisymmetric cavity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Theory of the collapsing axisymmetric cavity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Theory of the collapsing axisymmetric cavity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-100000