Giant bubble pinch-off

Details Giant bubble pinch-off Giant bubble pinch-off

2006-01-24

arxiv.org/abs/physics/0601188v1

Physics

Fluid Dynamics

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

Scientific paper

10.1103/PhysRevLett.96.154505

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 $h$ scales as $h(-\log h)^{1/4} \propto \tau^{1/2}$, 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.

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