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

Access to Document

10.1080/0950083031000075748

Permanent link

Persistent link

Cite this

@article{c4d013b13472486bb841add120e79bc4,

title = "Properties of three-dimensional bubbles of constant mean curvature",

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.",

year = "2003",

month = apr,

doi = "10.1080/0950083031000075748",

language = "English",

volume = "83",

pages = "281--293",

journal = "Philosophical Magazine Letters",

issn = "0950-0839",

publisher = "Taylor \& Francis",

number = "4",

}

TY - JOUR

T1 - Properties of three-dimensional bubbles of constant mean curvature

AU - Cox, S. J.

AU - Fortes, M. A.

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

Y1 - 2003/4

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.

UR - https://www.scopus.com/pages/publications/0142185168

U2 - 10.1080/0950083031000075748

DO - 10.1080/0950083031000075748

M3 - Article

AN - SCOPUS:0142185168

SN - 0950-0839

VL - 83

SP - 281

EP - 293

JO - Philosophical Magazine Letters

JF - Philosophical Magazine Letters

IS - 4

ER -

Properties of three-dimensional bubbles of constant mean curvature

Abstract

Access to Document

Permanent link

Other files and links

Fingerprint

Cite this