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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
Summary
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.
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.
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