Dry three-dimensional bubbles: Growth-rate, scaling state and correlations

Stéphane Jurine, Simon Cox, François Graner*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

23 Citations (SciVal)


The energy and shape of three-dimensional clusters of equal-volume bubbles packed around a central bubble are calculated. The resulting surface areas and bubble pressures provide an improvement upon existing growth laws for three-dimensional bubble clusters. Since a bubble's growth-rate depends mostly on its number of faces, simulations of coarsening can be accelerated by considering bubble topology rather than detailed geometry. The coarsening-induced relaxation of a disordered foam towards a scaling state, in which the normalised bubble volume and face-number distributions remain invariant, can thus be characterised.

Original languageEnglish
Pages (from-to)18-26
Number of pages9
JournalColloids and Surfaces A: Physicochemical and Engineering Aspects
Issue number1-3 SPEC. ISS.
Publication statusPublished - 01 Aug 2005


  • Bubbles
  • Clusters
  • Coarsening
  • Foam
  • Surface Evolver


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