Three-dimensional bubble clusters: Shape, packing, and growth rate

Simon Cox; François Graner

doi:10.1103/PhysRevE.69.031409

Three-dimensional bubble clusters: Shape, packing, and growth rate

Simon Cox, François Graner

Department of Mathematics

Université Grenoble Alpes

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

21 Citations (Scopus)

147 Downloads (Pure)

Abstract

We consider three-dimensional clusters of equal-volume bubbles packed around a central bubble and calculate their energy and optimal shape. We obtain the surface area and bubble pressures to improve on existing growth laws for three-dimensional bubble clusters. We discuss the possible number of bubbles that can be packed around a central one: the “kissing problem,” here adapted to deformable objects.

Original language	English
Journal	Physical Review E
Volume	69
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.69.031409
Publication status	Published - 31 Mar 2004

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AB - We consider three-dimensional clusters of equal-volume bubbles packed around a central bubble and calculate their energy and optimal shape. We obtain the surface area and bubble pressures to improve on existing growth laws for three-dimensional bubble clusters. We discuss the possible number of bubbles that can be packed around a central one: the “kissing problem,” here adapted to deformable objects.

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Three-dimensional bubble clusters: Shape, packing, and growth rate

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