The Viscous Froth Model: steady states and the high-velocity limit

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Type Article
Original languageEnglish
Pages (from-to)2391-2405
Number of pages15
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2108
Publication statusPublished - 08 Aug 2009
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The steady-state solutions of the viscous froth model for foam dynamics are analysed and shown to be of finite extent or to asymptote to straight lines. In the high-velocity limit, the solutions consist of straight lines with isolated points of infinite curvature. This analysis is helpful in the interpretation of observations of anomalous features of mobile two-dimensional foams in channels. Further physical effects need to be adduced in order to fully account for these.


  • foams, discrete microfluidics, interface motion