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Transient cluster formation in sheared non-Brownian suspensions.
Kjetil Thøgersen1, Marcin Dabrowski1,2, Anders Malthe-Sørenssen1
1Department of Physics, University of Oslo, Sem Sælands vei 24, NO-0316 Oslo, Norway.
Physical Review. E
|March 18, 2016
Summary
Numerical simulations reveal that as particle fraction increases in non-Brownian suspensions, large clusters form. Particle collision times exhibit scale-invariant properties and can be modeled as first-passage processes.
Area of Science:
- Fluid dynamics
- Statistical physics
- Materials science
Background:
- Non-Brownian suspensions exhibit complex behaviors under flow.
- Understanding particle clustering and collisions is crucial for predicting suspension properties.
Purpose of the Study:
- To investigate the scaling behavior of particle clusters and collisions in non-Brownian suspensions under shear.
- To analyze system size effects on cluster formation and percolation thresholds.
Main Methods:
- Numerical simulations of non-Brownian suspensions in laminar flow.
- Application of percolation theory to analyze cluster size distribution.
- Characterization of particle collision times.
Main Results:
- Large transient clusters form as particle fraction approaches maximum packing.
- A scaling relation for the percolation threshold and system size effects was established.
- Particle collision times exhibit scale-invariant properties.
Conclusions:
- System size effects are significant near maximum packing due to diverging cluster length scales.
- Particle collision dynamics can be effectively modeled using first-passage processes.
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