Giant Bubble Pinch-Off


Bergmann, Raymond and Meer, Devaraj van der and Stijnman, Mark and Sandtke, Marijn and Prosperetti, Andrea and Lohse, Detlef (2006) Giant Bubble Pinch-Off. Physical Review Letters, 96 (15). p. 154505. ISSN 0031-9007

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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 numbers does the purely inertial scaling h(-logh)1/4[proportional]tau1/2 for the neck radius h [J. M. Gordillo et al., Phys. Rev. Lett. 95, 194501 (2005)] become visible. 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 nonuniversality of the bubble pinch-off.
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Copyright:© 2006 American Physical Society
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