Surface instabilities and patterning at liquid/vapor interfaces: Exemplifications of the "hairy ball theorem"

Edward Bormashenko

doi:10.1016/j.colcom.2015.04.003

Surface instabilities and patterning at liquid/vapor interfaces: Exemplifications of the "hairy ball theorem"

Edward Bormashenko

Department of Chemical Engineering

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

13 Scopus citations

Abstract

Application of the "hairy ball theorem" to the analysis of the surface instabilities inherent for liquid/vapor interfaces is reported. When a continuous tangential velocity field exists on the surface of the liquid sample which is homeomorphic to a ball, zero velocity points will be necessarily present at the surface. The theorem is exemplified with the analysis of the instability occurring under the rapid evaporation of polymer solutions. Zero velocity points, accumulating pores, enable direct visualization of the instability. The patterning may be essentially different on the surface of a torus.

Original language	English
Pages (from-to)	5-7
Number of pages	3
Journal	Colloids and Interface Science Communications
Volume	5
DOIs	https://doi.org/10.1016/j.colcom.2015.04.003
State	Published - 1 Mar 2015

Keywords

Benard-Marangoni cells
Hairy ball theorem
Pattern
Surface instability
Zero velocity points

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10.1016/j.colcom.2015.04.003

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AB - Application of the "hairy ball theorem" to the analysis of the surface instabilities inherent for liquid/vapor interfaces is reported. When a continuous tangential velocity field exists on the surface of the liquid sample which is homeomorphic to a ball, zero velocity points will be necessarily present at the surface. The theorem is exemplified with the analysis of the instability occurring under the rapid evaporation of polymer solutions. Zero velocity points, accumulating pores, enable direct visualization of the instability. The patterning may be essentially different on the surface of a torus.

KW - Benard-Marangoni cells

KW - Hairy ball theorem

KW - Pattern

KW - Surface instability

KW - Zero velocity points

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EP - 7

JO - Colloids and Interface Science Communications

JF - Colloids and Interface Science Communications

ER -

Surface instabilities and patterning at liquid/vapor interfaces: Exemplifications of the "hairy ball theorem"

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Keywords

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