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

^*Awdur cyfatebol y gwaith hwn

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

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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.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	281-293
Nifer y tudalennau	13
Cyfnodolyn	Philosophical Magazine Letters
Cyfrol	83
Rhif cyhoeddi	4
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1080/0950083031000075748
Statws	Cyhoeddwyd - Ebr 2003

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10.1080/0950083031000075748

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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.",

author = "Cox, {S. J.} and Fortes, {M. A.}",

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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N1 - Funding Information: ACKNOWLEDGEMENTS We wish to thank Professor D. Weaire for useful suggestions. S.J.C. thanks the Instituto Superior Técnico (IST) and the Prodex programme of the European Space Agency for support. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2003/4

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N2 - 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.

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

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