dorsal/arxiv
View SchemaGiant bubble pinch-off
| Authors | Raymond Bergmann, Devaraj van der Meer, Mark Stijnman, Marijn Sandtke, Andrea Prosperetti, Detlef Lohse |
|---|---|
| Categories | |
| ArXiv ID | physics/0601188 |
| URL | https://arxiv.org/abs/physics/0601188 |
| DOI | 10.1103/PhysRevLett.96.154505 |
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 $h$ 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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"abstract": "Self-similarity has been the paradigmatic picture for the pinch-off of a\ndrop. Here we will show through high-speed imaging and boundary integral\nsimulations that the inverse problem, the pinch-off of an air bubble in water,\nis not self-similar in a strict sense: A disk is quickly pulled through a water\nsurface, leading to a giant, cylindrical void which after collapse creates an\nupward and a downward jet. Only in the limiting case of large Froude number the\nneck radius $h$ scales as $h(-\\log h)^{1/4} \\propto \\tau^{1/2}$, the purely\ninertial scaling. For any finite Froude number the collapse is slower, and a\nsecond length-scale, the curvature of the void, comes into play. Both\nlength-scales are found to exhibit power-law scaling in time, but with\ndifferent exponents depending on the Froude number, signaling the\nnon-universality of the bubble pinch-off.",
"arxiv_id": "physics/0601188",
"authors": [
"Raymond Bergmann",
"Devaraj van der Meer",
"Mark Stijnman",
"Marijn Sandtke",
"Andrea Prosperetti",
"Detlef Lohse"
],
"categories": [
"physics.flu-dyn",
"cond-mat.soft",
"nlin.CD"
],
"doi": "10.1103/PhysRevLett.96.154505",
"title": "Giant bubble pinch-off",
"url": "https://arxiv.org/abs/physics/0601188"
},
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