Properties of three-dimensional bubbles of constant mean curvature

S. J. Cox; M. A. Fortes

doi:10.1080/0950083031000075748

Properties of three-dimensional bubbles of constant mean curvature

S. J. Cox^*, M. A. Fortes

^*Corresponding author for this work

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

24 Citations (Scopus)

Abstract

Foam bubbles of constant mean curvature with a number of faces between 3 and 32 have been computer generated. The surface area per unit volume is only weakly dependent upon the number of faces, which allows an approximate equation for the energy of a three-dimensional foam to be derived. A further relation between the rate of change in the volume of a bubble due to gas diffusion and its number of faces is compared with existing theory.

Original language	English
Pages (from-to)	281-293
Number of pages	13
Journal	Philosophical Magazine Letters
Volume	83
Issue number	4
DOIs	https://doi.org/10.1080/0950083031000075748
Publication status	Published - Apr 2003
Externally published	Yes

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note = "Funding Information: ACKNOWLEDGEMENTS We wish to thank Professor D. Weaire for useful suggestions. S.J.C. thanks the Instituto Superior T{\'e}cnico (IST) and the Prodex programme of the European Space Agency for support. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",

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AB - Foam bubbles of constant mean curvature with a number of faces between 3 and 32 have been computer generated. The surface area per unit volume is only weakly dependent upon the number of faces, which allows an approximate equation for the energy of a three-dimensional foam to be derived. A further relation between the rate of change in the volume of a bubble due to gas diffusion and its number of faces is compared with existing theory.

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Properties of three-dimensional bubbles of constant mean curvature

Abstract

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