Pressures in periodic foams

D. Weaire; N. Kern; S. J. Cox; J. M. Sullivan; F. Morgan

doi:10.1098/rspa.2003.1171

Pressures in periodic foams

D. Weaire^*, N. Kern, S. J. Cox, J. M. Sullivan, F. Morgan

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

A hitherto open problem in the geometry of foams asks: are the pressures in the bubbles of a (structurally) periodic foam in equilibrium necessarily periodic? We supply a proof that this is so. However, external forces can induce a pressure gradient even in periodic structures. We also establish that any equilibrium planar foam whose bubbles are congruent must have uniform pressure and be a fully periodic arrangement of hexagons.

Original language	English
Pages (from-to)	569-579
Number of pages	11
Journal	Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	460
Issue number	2042
DOIs	https://doi.org/10.1098/rspa.2003.1171
Publication status	Published - 08 Feb 2004
Externally published	Yes

Keywords

Bubbles
Equilibrium structures
Foams
Kelvin foam
Pressures
Tilings

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AU - Weaire, D.

AU - Kern, N.

AU - Cox, S. J.

AU - Sullivan, J. M.

AU - Morgan, F.

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AB - A hitherto open problem in the geometry of foams asks: are the pressures in the bubbles of a (structurally) periodic foam in equilibrium necessarily periodic? We supply a proof that this is so. However, external forces can induce a pressure gradient even in periodic structures. We also establish that any equilibrium planar foam whose bubbles are congruent must have uniform pressure and be a fully periodic arrangement of hexagons.

KW - Bubbles

KW - Equilibrium structures

KW - Foams

KW - Kelvin foam

KW - Pressures

KW - Tilings

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M3 - Article

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JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

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ER -

Pressures in periodic foams

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Keywords

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