Breaking and merging of liquid sheets and filaments

Joseph B. Keller; Paul A. Milewski; J -M Vanden-Broeck

doi:10.1023/A:1016127027751

Breaking and merging of liquid sheets and filaments

Joseph B. Keller, Paul A. Milewski, J -M Vanden-Broeck

Research output: Contribution to journal › Article › peer-review

10 Citations (SciVal)

Abstract

The surface of a sheet of liquid which contracts due to surface tension, breaks, and then pulls apart into two pieces, is calculated. Before breaking, the flow is the self-similar one found by Keller, Milewski and Vanden-Broeck. After breaking, it is the self-similar flow found by Keller and Miksis. A general numerical scheme, which includes the previous ones, is presented and new numerical results are discussed. There is an analogous flow of an axially symmetric liquid filament, but it is not calculated.

Original language	English
Pages (from-to)	283-290
Number of pages	8
Journal	Journal of Engineering Mathematics
Volume	42
Issue number	3-4
DOIs	https://doi.org/10.1023/A:1016127027751
Publication status	Published - 1 Apr 2002

Keywords

Boundary-integral equations
Free-surface flows
Self-similar solutions
Surface tension

ASJC Scopus subject areas

Engineering (miscellaneous)
Applied Mathematics

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10.1023/A:1016127027751

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title = "Breaking and merging of liquid sheets and filaments",

abstract = "The surface of a sheet of liquid which contracts due to surface tension, breaks, and then pulls apart into two pieces, is calculated. Before breaking, the flow is the self-similar one found by Keller, Milewski and Vanden-Broeck. After breaking, it is the self-similar flow found by Keller and Miksis. A general numerical scheme, which includes the previous ones, is presented and new numerical results are discussed. There is an analogous flow of an axially symmetric liquid filament, but it is not calculated.",

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author = "Keller, {Joseph B.} and Milewski, {Paul A.} and Vanden-Broeck, {J -M}",

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T1 - Breaking and merging of liquid sheets and filaments

AU - Keller, Joseph B.

AU - Milewski, Paul A.

AU - Vanden-Broeck, J -M

PY - 2002/4/1

Y1 - 2002/4/1

N2 - The surface of a sheet of liquid which contracts due to surface tension, breaks, and then pulls apart into two pieces, is calculated. Before breaking, the flow is the self-similar one found by Keller, Milewski and Vanden-Broeck. After breaking, it is the self-similar flow found by Keller and Miksis. A general numerical scheme, which includes the previous ones, is presented and new numerical results are discussed. There is an analogous flow of an axially symmetric liquid filament, but it is not calculated.

AB - The surface of a sheet of liquid which contracts due to surface tension, breaks, and then pulls apart into two pieces, is calculated. Before breaking, the flow is the self-similar one found by Keller, Milewski and Vanden-Broeck. After breaking, it is the self-similar flow found by Keller and Miksis. A general numerical scheme, which includes the previous ones, is presented and new numerical results are discussed. There is an analogous flow of an axially symmetric liquid filament, but it is not calculated.

KW - Boundary-integral equations

KW - Free-surface flows

KW - Self-similar solutions

KW - Surface tension

UR - http://www.scopus.com/inward/record.url?scp=0036527274&partnerID=8YFLogxK

U2 - 10.1023/A:1016127027751

DO - 10.1023/A:1016127027751

M3 - Article

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VL - 42

SP - 283

EP - 290

JO - Journal of Engineering Mathematics

JF - Journal of Engineering Mathematics

IS - 3-4

ER -

Breaking and merging of liquid sheets and filaments

Abstract

Keywords

ASJC Scopus subject areas

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