Giant Bubble Pinch-Off

Raymond Bergmann, Devaraj van der Meer, Mark Stijnman, Marijn Sandtke, Andrea Prosperetti, Detlef Lohse

Research output: Contribution to journalArticleAcademicpeer-review

97 Citations (Scopus)
165 Downloads (Pure)

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.
Original languageEnglish
Article number154505
Number of pages4
JournalPhysical review letters
Volume96
Issue number15
DOIs
Publication statusPublished - 2006

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