Lack of Self-Similarity in the Collapse of a Giant Bubble

ORAL

Abstract

Self--similarity has been the paradigmatical 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: A disk is quickly pulled through a surface leading to a giant, cylindrical cavity which after collapse creates an upward and a downward jet. The minimal void radius scales only in the limiting case of large Froude number like $R(t)$ $\sim$ t$^{\frac{1}{2}}$, as expected for the purely inertial regime. The collapse slows down however for lower values of Froude due to a flow component in the vertical direction introducing a second time--dependent length--scale, the curvature of the void.

Authors

  • Raymond Bergmann

    • Faculty of Science and J. M. Burgers Centre for Fluid Dynamics, University of Twente, 7500 AE Enschede, The Netherlands
  • Mark Stijnman

  • Marijn Sandtke

  • Devaraj van der Meer

  • Andrea Prosperetti

    • Johns Hopkins University
  • Detlef Lohse