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Granular avalanches of entangled rigid particles

Damien P. Huet

Maziyar Jalaal

Rick van Beek and Devaraj van der Meer

Anthony Wachs*

  • Department of Mathematics, University of British Columbia, 1984 Mathematics Road, Vancouver, British Columbia, Canada V6T 1Z2

  • van der Waals–Zeeman Institute, Institute of Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, Netherlands

  • Physics of Fluids Group, Max Planck Center for Complex Fluid Dynamics, MESA+ Institute and J.M. Burgers Centre for Fluid Dynamics, University of Twente, P.O. Box 217, 7500 AE Enschede, Netherlands

  • Department of Mathematics, University of British Columbia, 1984 Mathematics Road, Vancouver, British Columbia, Canada V6T 1Z2 and Department of Chemical and Biological Engineering, University of British Columbia, 2360 E Mall, Vancouver, British Columbia, Canada V6T 1Z3

  • *wachs@mail.ubc.ca
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Phys. Rev. Fluids 6, 104304 – Published 8 October, 2021

DOI: https://doi.org/10.1103/PhysRevFluids.6.104304

Abstract

In granular mechanics, the shape of grains plays a critical role in the overall dynamics and significantly affects the macroscopic properties of the system. Using a dam break setup, granular collapses of nonconvex (cross-shaped) plastic particles assumed quasirigid are conducted experimentally and simulated numerically for a wide range of aspect ratios a=H0/L0, with H0 the initial height of the column and L0 its initial length. We report avalanche dynamics such as the top-driven collapse and the buckling collapse, as well as an intermittent flow behavior where reproducibility is lost and where the stability of the column is determined by the random initial configuration of the assembly of entangled particles. While counterintuitive and despite fundamentally different dynamics, we find that the runout distance L∞ and the final height H∞ of our granular collapses of crosses agree with those of spherical particles both experimentally and numerically. Our discrete element method simulations are able to reproduce all flow behaviors observed experimentally and they show excellent quantitative agreement with the experimental data. In the simulations, extra care is given to adopting a tangential friction force model based on the cumulative tangential displacement at the contact point, critical to represent stable cases, and to determining the contact model parameters. The analysis of (i) the force network via the average probability density function of contact force magnitude and (ii) the fabric anisotropy suggests that the stability of the column is a complex problem determined by mesoscale properties that we could not reliably identify at that point.

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Outline

Information

Phys. Rev. Fluids 6, 104304– Published 8 October, 2021
  • Received 23 February 2021
  • Accepted 21 September 2021
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