Applications and generalizations of the foam drainage equation

S. J. Cox*, D. Weaire, S. Hutzler, J. Murphy, R. Phelan, G. Verbist

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

65 Citations (SciVal)

Abstract

Some new analytic results concerning the foam drainage equation are described. The temporal approach to the equilibrium profile of the foam is shown to be exponential, in agreement with numerical calculations. The effect of including the equilibrium distribution of the liquid fraction as an initial condition is discussed, with respect to the progress of a solitary wave of liquid through a foam column. Existing analysis is further extended to allow for a variation of bubble sizes within the column and numerical calculations are compared with experimental results. We then consider the extension of the foam drainage equation into two and three dimensions and in particular the effect of confinement in a cylindrical tube.

Original languageEnglish
Pages (from-to)2441-2464
Number of pages24
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume456
Issue number2002
DOIs
Publication statusPublished - 2000

Keywords

  • Coarsening
  • Foam drainage
  • Solitary waves
  • Stability

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