Rheological properties of the soft-disk model of two-dimensional foams

Vincent Langlois, Stefan Hutzler, Denis Weaire

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Abstract

The soft-disk model previously developed and applied by Durian [D. J. Durian, Phys. Rev. Lett. 75, 4780 (1995)] is brought to bear on problems of foam rheology of longstanding and current interest, using two-dimensional systems. The questions at issue include the origin of the Herschel-Bulkley relation, normal stress effects (dilatancy), and localization in the presence of wall drag. We show that even a model that incorporates only linear viscous effects at the local level gives rise to nonlinear (power-law) dependence of the limit stress on strain rate. With wall drag, shear localization is found. Its nonexponential form and the variation of localization length with boundary velocity are well described by a continuum model in the spirit of Janiaud et al. [Phys. Rev. Lett. 97, 038302 (2006)]. Other results satisfactorily link localization to model parameters, and hence tie together continuum and local descriptions.
Original languageEnglish
JournalPhysical Review E
Volume78
Issue number2
Pages (from-to)021401
ISSN2470-0045
DOIs
Publication statusPublished - 2008

Bibliographical note

Copyright 2008 American Physical Society

Keywords

  • LIQUID FOAM
  • FLOW PROPERTIES
  • STRESS
  • MECHANICS
  • DILATANCY
  • SHEAR
  • VISCOSITY
  • BUBBLE-SCALE
  • CONCENTRATED EMULSIONS

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