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Granular avalanches in a two-dimensional rotating drum with imposed vertical vibration.

Daniel L Amon¹, Tatiana Niculescu, Brian C Utter

¹Department of Physics and Astronomy, James Madison University, Harrisonburg, Virginia 22807, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|August 16, 2013

Summary

Granular avalanches in rotating drums show power-law distributions. Vibration affects stability, with small vibrations increasing stability and larger ones (Γ=0.2) destabilizing the system, while strong vibrations (Γ≥0.8) erase history dependence.

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Published on: February 22, 2018

Area of Science:

Physics of granular materials
Complex systems dynamics
Statistical mechanics

Background:

Granular avalanches are complex phenomena influenced by particle shape and external forces.
Understanding granular flow is crucial for various industrial processes.

Purpose of the Study:

To investigate granular avalanche statistics in a rotating drum under varying vibration conditions.
To analyze the impact of particle shape and vibration on avalanche dynamics and history dependence.

Main Methods:

Utilized a quasi-two-dimensional rotating drum with pentagonal particles.
Measured interface slope time series to determine critical and repose angles.
Imposed controlled vertical vibrations using an electromagnetic shaker.

Main Results:

Identified power-law distributions for avalanche magnitudes.
Pentagonal particles exhibited larger critical (θ(c)≈45°) and repose (θ(r)≈39°) angles than spherical grains.
Small vibrations enhanced stability, while amplitudes above Γ=0.2 destabilized the system.
Observed history dependence in avalanche dynamics, with reduced critical angles upon shear reversal, erased by strong vibrations (Γ≥0.8).

Conclusions:

Granular avalanche behavior is governed by particle interlocking and external vibration.
Vibration acts as a control parameter, influencing stability and memory effects in granular systems.
Strong vibrations can induce compaction and relaxation, leading to steady-state avalanche distributions.