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Issue 36, 2014
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Z-cone model for the energy of an ordered foam

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Abstract

We develop the Z-Cone Model, in terms of which the energy of a foam may be estimated. It is directly applicable to an ordered structure in which every bubble has Z identical neighbours. The energy (i.e. surface area) may be analytically related to liquid fraction. It has the correct asymptotic form in the limits of dry and wet foam, with prefactors dependent on Z. In particular, the variation of energy with deformation in the wet limit is consistent with the anomalous behaviour found by Morse and Witten [Europhysics Letters, 1993, 22, 549] and Lacasse et al. [Physical Review E, 54, 5436], with a prefactor Z/2.

Graphical abstract: Z-cone model for the energy of an ordered foam

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Article information


Submitted
09 Apr 2014
Accepted
01 Jul 2014
First published
03 Jul 2014

Soft Matter, 2014,10, 7103-7108
Article type
Paper

Z-cone model for the energy of an ordered foam

S. Hutzler, R. P. Murtagh, D. Whyte, S. T. Tobin and D. Weaire, Soft Matter, 2014, 10, 7103
DOI: 10.1039/C4SM00774C

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