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The effects of interparticle cohesion on the collapse of granular columns

Published 11 Feb 2024 in cond-mat.soft | (2402.07285v1)

Abstract: The presence of interparticle cohesion can drastically change the behavior of granular materials. For instance, powders are challenging to handle, and one can make a sandcastle using wet grains. In this study, we report experimental results for columns of model cohesive grains collapsing under their own weight in air and spreading on a rough horizontal surface. The effects of two different sources of interparticle cohesion on two collapse geometries are compared and rationalized in a common framework. Grains are made cohesive by adding a small amount of water, such that they are in the pendular state, or by applying a polymer coating. The effects of cohesion are reported for a cylindrical column that spreads unconfined axisymmetrically and a confined rectangular column that flows in a single direction. A dimensionless number, comparing macroscopic cohesive strength to particle weight, is shown to capture the effects of cohesion on the final morphology. To this end, a characterization of the cohesive strength of the granular materials is obtained, independent of the physical source of cohesion at the particle scale. Such a framework allows for a common description of cohesive granular materials with different sources of cohesion.

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References (43)
  1. P. S. Raux and A.-L. Biance, Cohesion and agglomeration of wet powders, Phys. Rev. Fluids 3, 014301 (2018).
  2. S. Herminghaus, Dynamics of wet granular matter, Advances in physics 54, 221 (2005).
  3. N. Mitarai and F. Nori, Wet granular materials, Advances in Physics 55, 1 (2006).
  4. T. R. Garrett, M. Bhakoo, and Z. Zhang, Bacterial adhesion and biofilms on surfaces, Progress in Natural Science 18, 1049 (2008).
  5. X. Cheng, T.-P. Sun, and L. Gordillo, Drop impact dynamics: Impact force and stress distributions, Annual Review of Fluid Mechanics 54, 57 (2022).
  6. L. Staron and E. Lajeunesse, Understanding how volume affects the mobility of dry debris flows, Geophysical Research Letters 36, L12402 (2009).
  7. D. J. Jerolmack and K. E. Daniels, Viewing earth’s surface as a soft-matter landscape, Nature Reviews Physics 1, 716 (2019).
  8. 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 μ𝜇\muitalic_μ(I)-rheology, Journal of Fluid Mechanics 686, 378 (2011).
  9. P. Jop, Y. Forterre, and O. Pouliquen, A constitutive law for dense granular flows, Nature 441, 727 (2006).
  10. E. Lajeunesse, A. Mangeney-Castelnau, and J. P. Vilotte, Spreading of a granular mass on a horizontal plane, Physics of Fluids 16, 2371 (2004).
  11. N. J. Balmforth and R. R. Kerswell, Granular collapse in two dimensions, Journal of Fluid Mechanics 538, 399–428 (2005).
  12. E. Lajeunesse, J. Monnier, and G. Homsy, Granular slumping on a horizontal surface, Physics of Fluids 17, 103302 (2005).
  13. L. Staron and E. Hinch, Study of the collapse of granular columns using two-dimensional discrete-grain simulation, Journal of Fluid Mechanics 545, 1 (2005).
  14. L. Lacaze, J. C. Phillips, and R. R. Kerswell, Planar collapse of a granular column: experiments and discrete element simulations, Physics of Fluids 20, 063302 (2008).
  15. M. Cabrera and N. Estrada, Granular column collapse: Analysis of grain-size effects, Physical Review E 99, 10.1103/PhysRevE.99.012905 (2019).
  16. C. Mériaux, Two dimensional fall of granular columns controlled by slow horizontal withdrawal of a retaining wall, Physics of Fluids 18, 093301 (2006).
  17. M. Degaetano, L. Lacaze, and J. C. Phillips, The influence of localised size reorganisation on short-duration bidispersed granular flows, The European Physical Journal E: Soft Matter and Biological Physics 36, 36 (2013).
  18. R. Zenit, Computer simulations of the collapse of a granular column, Physics of Fluids 17, 031703 (2005).
  19. E. Larrieu, L. Staron, and E. J. Hinch, Raining into shallow water as a description of the collapse of a column of grains, Journal of Fluid Mechanics 554, 259 (2006).
  20. L. Staron and E. J. Hinch, The spreading of a granular mass: Role of grain properties and initial conditions, Granul. Matter 9, 205 (2007).
  21. L. Lacaze and R. R. Kerswell, Axisymmetric granular collapse: A transient 3D flow test of viscoplasticity, Physical Review Letters 102, 108305 (2009).
  22. H. Tapia-McClung and R. Zenit, Computer simulations of the collapse of columns formed by elongated grains, Physical Review E 85, 061304 (2012).
  23. A. C. Santomaso, S. Volpato, and F. Gabrieli, Collapse and runout of granular columns in pendular state, Physics of Fluids 30, 063301 (2018).
  24. P. Li, D. Wang, and Z. Niu, Unchannelized collapse of wet granular columns in the pendular state: Dynamics and morphology scaling, Physical Review Fluids 7, 084302 (2022).
  25. S. Mandal, M. Nicolas, and O. Pouliquen, Insights into the rheology of cohesive granular media, Proceedings of the National Academy of Sciences 117, 8366 (2020).
  26. R. M. Nedderman, Statics and kinematics of granular materials (Cambridge Univ. Press Cambridge [u.a.], 1992).
  27. P. C. F. Møller and D. Bonn, The shear modulus of wet granular matter, Europhysics Letters 80, 38002 (2007).
  28. P. Schiffer, A bridge to sandpile stability, Nature Physics 1, 21 (2005).
  29. S. Nowak, A. Samadani, and A. Kudrolli, Maximum angle of stability of a wet granular pile, Nature Physics 1, 50 (2005).
  30. G. Saingier, A. Sauret, and P. Jop, Accretion dynamics on wet granular materials, Physical review letters 118, 208001 (2017).
  31. A. Hemmerle, M. Schröter, and L. Goehring, A cohesive granular material with tunable elasticity, Scientific Reports 6, 35650 (2016).
  32. A. Gans, O. Pouliquen, and M. Nicolas, Cohesion-controlled granular material, Phys. Rev. E 101, 032904 (2020).
  33. P. S. Sarate, T. G. Murthy, and P. Sharma, Column to pile transition in quasi-static deposition of granular chains, Soft Matter 18, 2054 (2022).
  34. N. Gravish and D. I. Goldman, Entangled granular media, Fluids, Colloids and Soft Materials: An Introduction to Soft Matter Physics , 341 (2016).
  35. N. Weiner, Y. Bhosale, M. Gazzola, and H. King, Mechanics of randomly packed filaments—The “bird nest” as meta-material, Journal of Applied Physics 127, 050902 (2020).
  36. A. Abramian, L. Staron, and P.-Y. Lagrée, The slumping of a cohesive granular column: Continuum and discrete modeling, Journal of Rheology 64, 1227 (2020).
  37. A. Abramian, P.-Y. Lagrée, and L. Staron, How cohesion controls the roughness of a granular deposit, Soft Matter 17, 10723 (2021).
  38. V. J. Langlois, A. Quiquerez, and P. Allemand, Collapse of a two-dimensional brittle granular column: Implications for understanding dynamic rock fragmentation in a landslide, Journal of Geophysical Research: Earth Surface 120, 1866 (2015).
  39. E. L. Thompson and H. E. Huppert, Granular column collapses: Further experimental results, Journal of Fluid Mechanics 575, 177–186 (2007).
  40. V. Richefeu, M. S. El Youssoufi, and F. Radjaï, Shear strength properties of wet granular materials, Phys. Rev. E 73, 051304 (2006).
  41. B. Andreotti, Y. Forterre, and O. Pouliquen, Granular Media: Between Fluid and Solid (Cambridge University Press, 2013).
  42. P. Pierrat and H. S. Caram, Tensile strength of wet granular materials, Powder Technology 91, 83 (1997).
  43. J.-C. Ono-dit Biot, T. Lorand, and K. Dalnoki-Veress, Continuum model applied to granular analogs of droplets and puddles, Physical Review Letters 125, 228001 (2020).

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