English

Giant bubble pinch-off

Fluid Dynamics 2009-11-11 v1 Soft Condensed Matter Chaotic Dynamics

Abstract

Self-similarity has been the paradigmatic picture for the pinch-off of a drop. Here we will show through high-speed imaging and boundary integral simulations that the inverse problem, the pinch-off of an air bubble in water, is not self-similar in a strict sense: A disk is quickly pulled through a water surface, leading to a giant, cylindrical void which after collapse creates an upward and a downward jet. Only in the limiting case of large Froude number the neck radius hh scales as h(logh)1/4τ1/2h(-\log h)^{1/4} \propto \tau^{1/2}, the purely inertial scaling. For any finite Froude number the collapse is slower, and a second length-scale, the curvature of the void, comes into play. Both length-scales are found to exhibit power-law scaling in time, but with different exponents depending on the Froude number, signaling the non-universality of the bubble pinch-off.

Keywords

Cite

@article{arxiv.physics/0601188,
  title  = {Giant bubble pinch-off},
  author = {Raymond Bergmann and Devaraj van der Meer and Mark Stijnman and Marijn Sandtke and Andrea Prosperetti and Detlef Lohse},
  journal= {arXiv preprint arXiv:physics/0601188},
  year   = {2009}
}

Comments

5 pages, 2 figures. Figure quality was reduced considerably and converted to greyscale to decrease file size