Physics of Fluids - Publications

The structure of foam cells: Isotropic Plateau polyhedra

Europhysics Letters 67, 484 (2004)

Authors

	Sascha Hilgenfeldt
	Andrew M. Kraynik
	D. A. Reinelt
	J. M. Sullivan

BibTeΧ

@article{0295-5075-67-3-484,
  author={S. Hilgenfeldt and A. M. Kraynik and D. A. Reinelt and J. M. Sullivan},
  title={The structure of foam cells: Isotropic Plateau polyhedra},
  journal={EPL (Europhysics Letters)},
  volume={67},
  number={3},
  pages={484},
  url={http://stacks.iop.org/0295-5075/67/i=3/a=484},
  year={2004},
  abstract={A mean-field theory for the geometry and diffusive growth rate of soap bubbles in dry 3D foams is presented. Idealized foam cells called isotropic Plateau polyhedra (IPPs), with F identical spherical-cap faces, are introduced. The geometric properties ( e.g. , surface area S , curvature R , edge length L , volume V ) and growth rate ##IMG## [http://ej.iop.org/icons/Entities/calG.gif] {Script G} of the cells are obtained as analytical functions of F , the sole variable. IPPs accurately represent average foam bubble geometry for arbitrary F ≥ 4, even though they are only constructible for F = 4,6,12. While R / V 1/3 , L / V 1/3 and ##IMG## [http://ej.iop.org/icons/Entities/calG.gif] {Script G} exhibit F 1/2 behavior, the specific surface area S / V 2/3 is virtually independent of F . The results are contrasted with those for convex isotropic polyhedra with flat faces.}
}