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Viscous froth lens.

T E Green1, A Bramley, L Lue

  • 1SCEAS, The University of Manchester, P.O. Box 88, Sackville Street, Manchester M60 1QD, United Kingdom.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 7, 2007
PubMed
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The viscous froth model describes fast-flowing foam dynamics. This study shows foam lenses exhibit rich behavior, with small lenses moving faster and becoming more compliant under pressure, eventually breaking up.

Area of Science:

  • Fluid Dynamics
  • Materials Science
  • Soft Matter Physics

Background:

  • Traditional microscale foam models balance bubble pressure and surface tension.
  • Existing models struggle to describe fast-flowing foam dynamics.
  • The viscous froth model offers a new approach by including viscous dissipation.

Purpose of the Study:

  • To examine the viscous froth model's behavior in a simplified 2D foam lens geometry.
  • To investigate the dynamics of foam lenses under applied pressure.
  • To understand the stability and breakup mechanisms of foam structures.

Main Methods:

  • Application of the viscous froth model to a 2D bubble lens.
  • Analytical perturbation solutions for weak applied pressures.

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  • Numerical simulations for higher applied pressures.

    • Main Results:

    • Steady-state solutions show small foam lenses propagate faster than large ones.
    • Foam lenses exhibit resistance to deformation under weak pressures.
    • Increasing pressure leads to increased compliance in large lenses and eventual instability and breakup.

    Conclusions:

    • The viscous froth model successfully describes complex foam lens dynamics.
    • Foam lens stability is pressure-dependent, with a critical pressure leading to breakup.
    • The study reveals insights into foam rheology and structural transformations.