Asymptomatics of pinhole

S. B.G. O'Brien

doi:10.1006/jcis.1997.4982

Asymptomatics of pinhole

S. B.G. O'Brien

Department of Mathematics and Statistics

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

Abstract

It is well known that, in a thin liquid film, corresponding to any particular thickness there is precisely one axisymmetric equilibrium solution to the Laplace-Young capillary equation; i.e., corresponding to each film thickness there is a unique pinhole radius which has been shown to be unstable( 1973, Taylor and Michael, J. Fluid Mech. 58, 625-639). We deduce an asymptotic relationship between film thickness and pinhole height in the limit of very thin films.

Original language	English
Pages (from-to)	514-516
Number of pages	3
Journal	Journal of Colloid and Interface Science
Volume	191
Issue number	2
DOIs	https://doi.org/10.1006/jcis.1997.4982
Publication status	Published - 15 Jul 1997

Keywords

Asymptotics
Contact angle
Pinhole
Surface tension

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10.1006/jcis.1997.4982

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AB - It is well known that, in a thin liquid film, corresponding to any particular thickness there is precisely one axisymmetric equilibrium solution to the Laplace-Young capillary equation; i.e., corresponding to each film thickness there is a unique pinhole radius which has been shown to be unstable( 1973, Taylor and Michael, J. Fluid Mech. 58, 625-639). We deduce an asymptotic relationship between film thickness and pinhole height in the limit of very thin films.

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KW - Surface tension

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Asymptomatics of pinhole

Abstract

Keywords

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