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

Raymond Bergmann; Mark Stijnman; Marijn Sandtke; Deveraj van der Meer; Andrea Prosperetti; Detlef Lohse

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

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

Research output: Contribution to conference › Paper

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) ∼ t½, 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.

Original language	English
Publication status	Published - 20 Nov 2005
Event	58th Annual Meeting of the APS Division of Fluid Dynamics, APS-DFD 2005 - Chicago, United States Duration: 20 Nov 2005 → 22 Nov 2005 Conference number: 58

Conference

Conference	58th Annual Meeting of the APS Division of Fluid Dynamics, APS-DFD 2005
Abbreviated title	APS-DFD
Country/Territory	United States
City	Chicago
Period	20/11/05 → 22/11/05

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http://meetings.aps.org/link/BAPS.2005.DFD.AD.6

Cite this

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title = "Lack of Self-Similarity in the Collapse of a Giant Bubble",

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) ∼ t½, 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.",

author = "Raymond Bergmann and Mark Stijnman and Marijn Sandtke and {van der Meer}, Deveraj and Andrea Prosperetti and Detlef Lohse",

year = "2005",

month = nov,

day = "20",

language = "English",

note = "58th Annual Meeting of the APS Division of Fluid Dynamics, APS-DFD 2005, APS-DFD ; Conference date: 20-11-2005 Through 22-11-2005",

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TY - CONF

T1 - Lack of Self-Similarity in the Collapse of a Giant Bubble

AU - Bergmann, Raymond

AU - Stijnman, Mark

AU - Sandtke, Marijn

AU - van der Meer, Deveraj

AU - Prosperetti, Andrea

AU - Lohse, Detlef

N1 - Conference code: 58

PY - 2005/11/20

Y1 - 2005/11/20

N2 - 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) ∼ t½, 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.

AB - 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) ∼ t½, 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.

M3 - Paper

T2 - 58th Annual Meeting of the APS Division of Fluid Dynamics, APS-DFD 2005

Y2 - 20 November 2005 through 22 November 2005

ER -

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

Abstract

Conference

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