Breaking and merging of liquid sheets and filaments

Joseph B. Keller; Paul A. Milewski; Jean Marc Vanden-Broeck

doi:10.1023/A:1016127027751

Breaking and merging of liquid sheets and filaments

Joseph B. Keller
, Paul A. Milewski
, Jean Marc Vanden-Broeck

Eberly College of Science

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

10 Scopus citations

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 (US)
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
State	Published - Apr 2002

All Science Journal Classification (ASJC) codes

General Mathematics
General Engineering

Access to Document

10.1023/A:1016127027751

Cite this

@article{a91936d6d1e747f1b5a8ffc6892858e0,

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.",

author = "Keller, \{Joseph B.\} and Milewski, \{Paul A.\} and Vanden-Broeck, \{Jean Marc\}",

note = "Funding Information: Partial support by AFOSR (J.B. Keller), NSF (P.A. Milewski) and EPSRC and the Leverhulme Trust (J.-M. Vanden-Broek) is gratefully acknowledged.",

year = "2002",

month = apr,

doi = "10.1023/A:1016127027751",

language = "English (US)",

volume = "42",

pages = "283--290",

journal = "Journal of Engineering Mathematics",

issn = "0022-0833",

publisher = "Kluwer Academic Publishers",

number = "3-4",

}

TY - JOUR

T1 - Breaking and merging of liquid sheets and filaments

AU - Keller, Joseph B.

AU - Milewski, Paul A.

AU - Vanden-Broeck, Jean Marc

N1 - Funding Information: Partial support by AFOSR (J.B. Keller), NSF (P.A. Milewski) and EPSRC and the Leverhulme Trust (J.-M. Vanden-Broek) is gratefully acknowledged.

PY - 2002/4

Y1 - 2002/4

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.

UR - https://www.scopus.com/pages/publications/0036527274

UR - https://www.scopus.com/pages/publications/0036527274#tab=citedBy

U2 - 10.1023/A:1016127027751

DO - 10.1023/A:1016127027751

M3 - Article

AN - SCOPUS:0036527274

SN - 0022-0833

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

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this