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Related Experiment Videos

Velocity fluctuations in a steadily sheared model foam.

Ian K Ono1, Shubha Tewari, Stephen A Langer

  • 1Department of Chemistry and Biochemistry, ULCA, 90095-1569, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 26, 2005
PubMed
Summary

Numerical simulations reveal foam flow behavior changes with shear rate. At low rates, velocity fluctuations dominate (stick-slip flow); at high rates, they are smaller, showing a crossover in dynamics.

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Area of Science:

  • Rheology
  • Soft Matter Physics
  • Computational Fluid Dynamics

Background:

  • Foam rheology is complex, exhibiting non-Newtonian behaviors like shear-thinning and yielding.
  • Understanding velocity fluctuations is crucial for modeling foam flow and predicting macroscopic properties.

Purpose of the Study:

  • To investigate velocity fluctuations in a 2D foam model under steady shear using numerical simulations.
  • To identify the relationship between shear rate and velocity distribution width.
  • To characterize the crossover behavior in foam dynamics at a specific strain rate.

Main Methods:

  • Numerical simulations of a simple two-dimensional foam model.
  • Application of steady shear flow conditions.
  • Analysis of velocity distributions and correlation functions.

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Main Results:

  • Velocity distribution width increases sublinearly with shear rate.
  • A characteristic strain rate (gamma(x)) marks a crossover in behavior.
  • Above gamma(x), correlations decay exponentially (Gaussian distribution); below gamma(x), they decay as stretched exponentials (broader-than-Gaussian distribution).

Conclusions:

  • Foam flow dynamics exhibit distinct regimes dependent on shear rate relative to a characteristic strain rate.
  • The observed crossover is linked to the interplay between applied shear and bubble rearrangement dynamics.
  • Simulation results provide insights into the fundamental mechanisms governing foam rheology.