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Constraint-Based Approach to Granular Dispersion Rheology.

B M Guy1, J A Richards1, D J M Hodgson1

  • 1SUPA, School of Physics and Astronomy, The University of Edinburgh, King's Buildings, Peter Guthrie Tait Road, Edinburgh EH9 3FD, United Kingdom.

Physical Review Letters
|October 9, 2018
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Summary
This summary is machine-generated.

This study introduces a new model for granular suspension rheology, explaining flow curves and predicting viscosity singularities using particle interaction constraints. The model offers a general description of suspension flow, independent of specific microphysics.

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Area of Science:

  • Rheology
  • Materials Science
  • Fluid Dynamics

Background:

  • Granular suspensions exhibit complex flow behaviors.
  • Understanding particle interactions is key to modeling suspension rheology.
  • Existing models often rely on specific microphysical details.

Purpose of the Study:

  • To develop a phenomenological model for granular suspension rheology.
  • To incorporate particle interactions as constraints on relative motion.
  • To provide a generic description of suspension flow.

Main Methods:

  • Developed a phenomenological model based on stress-dependent constraints.
  • Analyzed how constraints form and release under stress.
  • Derived experimental flow curves from the model.

Main Results:

  • The model successfully reproduces a range of experimental flow curves.
  • Predicted singularities in viscosity and yield stress.
  • Demonstrated consistency with existing literature data.

Conclusions:

  • Particle interaction constraints offer a unified approach to suspension rheology.
  • The model provides a generic description independent of microphysics.
  • This framework advances the understanding of granular material flow.