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Downslope granular flow through a forest of obstacles

Baptiste Darbois Texier, Yann Bertho, and Philippe Gondret

  • Université Paris-Saclay, CNRS, FAST, 91405, Orsay, France

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Phys. Rev. Fluids 8, 034303 – Published 31 March, 2023

DOI: https://doi.org/10.1103/PhysRevFluids.8.034303

Abstract

We investigate the effect of a forest of pillars on a granular layer steadily flowing over a rough inclined plane. We quantify experimentally how the steady flow rate of grains is affected by the interpillars distance for different layer thicknesses and slope angles. We then propose a model based on a depth-average approximation associated with μ(I) rheology that considers the additional force exerted by the pillars on the granular layer. This model succeeds in accounting for most of the observed results when taking into account some inertia due to the nonvanishing Froude number of the flow.

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References (36)

  1. P. Coussot and S. Boyer, Determination of yield stress fluid behaviour from inclined plane test, Rheol. Acta 34, 534 (1995).
  2. C. Bonnoit, T. Darnige, E. Clement, and A. Lindner, Inclined plane rheometry of a dense granular suspension, J. Rheol. 54, 65 (2010).
  3. GDR MiDi, On dense granular flows, Eur. Phys. J. E 14, 341 (2004).
  4. O. Pouliquen, Scaling laws in granular flows down rough inclined planes, Phys. Fluids 11, 542 (1999).
  5. A. Daerr and S. Douady, Two types of avalanche behaviour in granular media, Nature (London) 399, 241 (1999).
  6. P. Jop, Y. Forterre, and O. Pouliquen, A constitutive law for dense granular flows, Nature (London) 441, 727 (2006).
  7. Y. Forterre and O. Pouliquen, Flows of dense granular media, Annu. Rev. Fluid Mech. 40, 1 (2008).
  8. B. Andreotti, Y. Forterre, and O. Pouliquen, Granular Media: Between Fluid and Solid (Cambridge University, New York, 2013).
  9. T. Barker, D. G. Schaeffer, P. Bohórquez, and J. Gray, Well-posed and ill-posed behaviour of the μ(I)-rheology for granular flow, J. Fluid Mech. 779, 794 (2015).
  10. L. Lacaze and R. R. Kerswell, Axisymmetric Granular Collapse: A Transient 3D Flow Test of Viscoplasticity, Phys. Rev. Lett. 102, 108305 (2009).
  11. P.-Y. Lagrée, L. Staron, and S. Popinet, The granular column collapse as a continuum: Validity of a two-dimensional Navier-Stokes model with a μ (i)-rheology, J. Fluid Mech. 686, 378 (2011).
  12. A. Seguin, A. Lefebvre-Lepot, S. Faure, and P. Gondret, Clustering and flow around a sphere moving into a grain cloud, Eur. Phys. J. E 39, 63 (2016).
  13. N. Gaudel, S. Kiesgen de Richter, N. Louvet, M. Jenny, and S. Skali-Lami, Granular avalanches down inclined and vibrated planes, Phys. Rev. E 94, 032904 (2016).
  14. N. Gaudel and S. Kiesgen de Richter, Effect of vibrations on granular material flows down an inclined plane using DEM simulations, Powder Technol. 346, 256 (2019).
  15. R. Delannay, A. Valance, A. Mangeney, O. Roche, and P. Richard, Granular and particle-laden flows: From laboratory experiments to field observations, J. Phys. D: Appl. Phys. 50, 053001 (2017).
  16. T. Feistl, P. Bebi, M. Teich, Y. Bühler, M. Christen, K. Thuro, and P. Bartelt, Observations and modeling of the braking effect of forests on small and medium avalanches, J. Glaciol. 60, 124 (2014).
  17. M. Teich, J.-T. Fischer, T. Feistl, P. Bebi, M. Christen, and A. Grêt-Regamey, Computational snow avalanche simulation in forested terrain, Nat. Hazards Earth Syst. Sci. 14, 2233 (2014).
  18. K. Yan, J. He, Q. Cheng, J. Zhang, and R. Fuentes, Experimental investigation on the interaction between rapid dry gravity-driven debris flow and array of obstacles, Landslides 18, 1761 (2021).
  19. L. Védrine, X. Li, and J. Gaume, Detrainment and braking of snow avalanches interacting with forests, Nat. Hazards Earth Syst. Sci. 22, 1015 (2022).
  20. Z. Liang, C. E. Choi, Y. Zhao, Y. Jiang, and J. Choo, Revealing the role of forests in the mobility of geophysical flows, Comput. Geotech. 155, 105194 (2023).
  21. T. Faug, R. Beguin, and B. Chanut, Mean steady granular force on a wall overflowed by free-surface gravity-driven dense flows, Phys. Rev. E 80, 021305 (2009).
  22. X. Cui and J. M. N. T. Gray, Gravity-driven granular free-surface flow around a circular cylinder, J. Fluid Mech. 720, 314 (2013).
  23. J. Benito, Y. Bertho, I. Ippolito, and P. Gondret, Stability of a granular layer on an inclined “fakir plane,” EPL 100, 34004 (2012).
  24. T. H. Luong, J. L. Baker, and I. Einav, Spread-out and slow-down of granular flows through model forests, Granular Matter 22, 15 (2020).
  25. I. Zuriguel, A. Garcimartín, D. Maza, L. A. Pugnaloni, and J. M. Pastor, Jamming during the discharge of granular matter from a silo, Phys. Rev. E 71, 051303 (2005).
  26. L. Bruno, A. Calvo, and I. Ippolito, Dispersive flow of disks through a two-dimensional Galton board, Eur. Phys. J. E 11, 131 (2003).
  27. J. G. Benito, G. Meglio, I. Ippolito, M. Re, and A. M. Vidales, Exit distribution function crossover in a Galton board, Granular Matter 9, 159 (2007).
  28. Y. Bertho, F. Giorgiutti-Dauphiné, and J.-P. Hulin, Dynamical Janssen Effect on Granular Packing with Moving Walls, Phys. Rev. Lett. 90, 144301 (2003).
  29. Y. Forterre and O. Pouliquen, Long-surface-wave instability in dense granular flows, J. Fluid Mech. 486, 21 (2003).
  30. J. Gray and A. Edwards, A depth-averaged μ(I)-rheology for shallow granular free-surface flows, J. Fluid Mech. 755, 503 (2014).
  31. T. Faug, Macroscopic force experienced by extended objects in granular flows over a very broad Froude-number range, Eur. Phys. J. E 38, 34 (2015).
  32. R. Albert, M. A. Pfeifer, A.-L. Barabási, and P. Schiffer, Slow Drag in a Granular Medium, Phys. Rev. Lett. 82, 205 (1999).
  33. A. Seguin, Y. Bertho, P. Gondret, and J. Crassous, Sphere penetration by impact in a granular medium: A collisional process, EPL 88, 44002 (2009).
  34. H. Katsuragi and D. J. Durian, Drag force scaling for penetration into granular media, Phys. Rev. E 87, 052208 (2013).
  35. A. Seguin, Y. Bertho, P. Gondret, and J. Crassous, Dense Granular Flow around a Penetrating Object: Experiment and Hydrodynamic Model, Phys. Rev. Lett. 107, 048001 (2011).
  36. A. Seguin, Y. Bertho, F. Martinez, J. Crassous, and P. Gondret, Experimental velocity fields and forces for a cylinder penetrating into a granular medium, Phys. Rev. E 87, 012201 (2013).

Outline

Information

Phys. Rev. Fluids 8, 034303– Published 31 March, 2023
  • Received 13 April 2022
  • Accepted 8 February 2023
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