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Related Experiment Videos

Stress fluctuations in sheared Stokesian suspensions.

J Dasan1, T R Ramamohan, Anugrah Singh

  • 1Computational Materials Science, Unit-I, Regional Research Laboratory (CSIR), Thiruvananthapuram 695 019, India.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 21, 2002
PubMed
Summary

We analyzed chaotic stress fluctuations in simulated suspensions. Higher particle concentrations lead to more complex dynamics, revealing insights into suspension behavior and microstructure.

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Area of Science:

  • Fluid dynamics
  • Nonlinear dynamics
  • Chaos theory

Background:

  • Stokesian suspensions exhibit complex rheological behavior.
  • Understanding stress fluctuations is crucial for characterizing suspension dynamics.

Purpose of the Study:

  • To analyze stress fluctuations in simulated shear flow of Stokesian suspensions.
  • To characterize the underlying dynamics of these fluctuations using chaos theory.
  • To investigate the relationship between particle concentration and suspension behavior.

Main Methods:

  • Simulations of shear flow between parallel walls for suspensions of rigid spheres in a Newtonian fluid.
  • Time series analysis of stress fluctuations.
  • Application of nonlinear dynamics and chaos theory tools, including dynamic and metric invariants.

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Main Results:

  • Stress fluctuations in these suspensions are deterministic, low-dimensional, and chaotic.
  • The dimension of the chaotic attractor increases with particle concentration.
  • Accurate short-term predictions of stress evolution were achieved.

Conclusions:

  • Chaos theory provides a powerful framework for understanding suspension rheology.
  • Increased particle concentration enhances multi-body interactions, influencing chaotic dynamics.
  • The study links microscopic interactions to macroscopic stress behavior in suspensions.