Asymptotics of self-intersecting loop solutions of the pendant drop equations

Stephen B.G. O'Brien

doi:10.1002/zamm.200310095

Asymptotics of self-intersecting loop solutions of the pendant drop equations

Stephen B.G. O'Brien

Department of Mathematics and Statistics

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

Abstract

We construct asymptotic solutions for loop-like self intersecting mathematical solutions of the Laplace-Young capillary equation which was originally derived to model liquid rise in capillary tubes. We show that each successive loop has a complicated asymptotic structure which is resolved using the method of matched asymptotic expansions.

Original language	English
Pages (from-to)	158-170
Number of pages	13
Journal	ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume	84
Issue number	3
DOIs	https://doi.org/10.1002/zamm.200310095
Publication status	Published - 2004

Keywords

Asymptotics
Boundary layer
Curvature
Matched asymptotic expansions
Pendant drops
Surface tension

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10.1002/zamm.200310095

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title = "Asymptotics of self-intersecting loop solutions of the pendant drop equations",

abstract = "We construct asymptotic solutions for loop-like self intersecting mathematical solutions of the Laplace-Young capillary equation which was originally derived to model liquid rise in capillary tubes. We show that each successive loop has a complicated asymptotic structure which is resolved using the method of matched asymptotic expansions.",

keywords = "Asymptotics, Boundary layer, Curvature, Matched asymptotic expansions, Pendant drops, Surface tension",

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KW - Boundary layer

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Asymptotics of self-intersecting loop solutions of the pendant drop equations

Abstract

Keywords

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