Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Collective alignment controls rotation frustration in granular flows of elongated particles

Antonio Pol1, Riccardo Artoni2, and Patrick Richard2

Phys. Rev. Fluids 11, 064302 – Published 10 June, 2026

DOI: https://doi.org/10.1103/ckmc-x152

Abstract

Dense granular flows made of elongated particles exhibit a strong inhibition of particle rotation compared to spherical grains, but the mechanisms responsible for this effect remain unclear. Using three-dimensional discrete element simulations, we investigate the angular dynamics of elongated particles in dense, confined shear flows. We systematically vary particle aspect ratio, interparticle friction, and boundary conditions to elucidate their respective roles. We show that the reduction of the average angular velocity cannot be attributed to particle shape, friction, or solid fraction alone. Instead, it is controlled by the degree of collective alignment developed under shear, quantified by a nematic order parameter. Based on this observation, we propose a simple scaling law linking the average angular velocity to the local shear rate through a hampering parameter that depends solely on the orientational order via the nematic order parameter. This scaling successfully collapses data obtained for different particle properties (shape, friction), different flow patterns, and, remarkably, remains valid for two additional flow configurations.

Physics Subject Headings (PhySH)

Article Text

References (38)

  1. C. S. Campbell, Elastic granular flows of ellipsoidal particles, Phys. Fluids 23, 013306 (2011).
  2. T. Börzsönyi, B. Szabó, G. Törös, S. Wegner, J. Török, E. Somfai, T. Bien, and R. Stannarius, Orientational order and alignment of elongated particles induced by shear, Phys. Rev. Lett. 108, 228302 (2012).
  3. T. Börzsönyi and R. Stannarius, Granular materials composed of shape-anisotropic grains, Soft Matter 9, 7401 (2013).
  4. R. C. Hidalgo, B. Szabó, K. Gillemot, T. Börzsönyi, and T. Weinhart, Rheological response of nonspherical granular flows down an incline, Phys. Rev. Fluids 3, 074301 (2018).
  5. D. B. Nagy, P. Claudin, T. Börzsönyi, and E. Somfai, Flow and rheology of frictional elongated grains, New J. Phys. 22, 073008 (2020).
  6. A. Pol, R. Artoni, P. Richard, P. R. N. da Conceição, and F. Gabrieli, Kinematics and shear-induced alignment in confined granular flows of elongated particles, New J. Phys. 24, 073018 (2022).
  7. B. Fan, T. Pongó, R. Cruz Hidalgo, and T. Börzsönyi, Effect of particle shape on the flow of an hourglass, Phys. Rev. Lett. 133, 058201 (2024).
  8. P. Ribière, P. Richard, R. Delannay, and D. Bideau, Importance of convection in the compaction mechanisms of anisotropic granular media, Phys. Rev. E 71, 011304 (2005).
  9. T. Börzsönyi, B. Szabó, S. Wegner, K. Harth, J. Török, E. Somfai, T. Bien, and R. Stannarius, Shear-induced alignment and dynamics of elongated granular particles, Phys. Rev. E 86, 051304 (2012).
  10. T. Börzsönyi, E. Somfai, B. Szabó, S. Wegner, P. Mier, G. Rose, and R. Stannarius, Packing, alignment and flow of shape-anisotropic grains in a 3D silo experiment, New J. Phys. 18, 093017 (2016).
  11. D. Berzi, N. Thai-Quang, Y. Guo, and J. Curtis, Stresses and orientational order in shearing flows of granular liquid crystals, Phys. Rev. E 93, 040901(R) (2016).
  12. F. Guillard, B. Marks, and I. Einav, Dynamic x-ray radiography reveals particle size and shape orientation fields during granular flow, Sci. Rep. 7, 8155 (2017).
  13. D. B. Nagy, P. Claudin, T. Börzsönyi, and E. Somfai, Rheology of dense granular flows for elongated particles, Phys. Rev. E 96, 062903 (2017).
  14. H. Rahim, V. Angelidakis, T. Pöschel, and S. Roy, Alignment-induced depression and shear thinning in granular matter of nonspherical particles, Phys. Rev. Fluids 9, 114304 (2024).
  15. D. Berzi, D. Vescovi, and B. Nadler, Shaking into order: Q-tensor/kinetic theory of vibrated non-spherical grains in a confined geometry, J. Fluid Mech. 1024, A32 (2025).
  16. M. Amereh, H. Struchtrup, and B. Nadler, Thermodynamics of oriented granular gases, J. Fluid Mech. 1032, A23 (2026).
  17. R. C. Hidalgo, I. Zuriguel, D. Maza, and I. Pagonabarraga, Role of particle shape on the stress propagation in granular packings, Phys. Rev. Lett. 103, 118001 (2009).
  18. E. Azéma and F. Radjaï, Stress-strain behavior and geometrical properties of packings of elongated particles, Phys. Rev. E 81, 051304 (2010).
  19. E. Azéma and F. Radjai, Force chains and contact network topology in sheared packings of elongated particles, Phys. Rev. E 85, 031303 (2012).
  20. R. Artoni and P. Richard, Coarse graining for granular materials: Micro-polar balances, Acta Mech. 230, 3055 (2019).
  21. A. Pol, R. Artoni, and P. Richard, Unified scaling law for wall friction in laterally confined flows of shape anisotropic particles, Phys. Rev. Fluids 8, 084302 (2023).
  22. G. B. Jeffery, The motion of ellipsoidal particles immersed in a viscous fluid, Proc. R. Soc. London Ser. A 102, 161 (1922).
  23. J. Liu, L. Jing, T. Pähtz, Y. Cui, Gordon G. D. Zhou, and X. Fu, Effects of particle elongation on dense granular flows down a rough inclined plane, Phys. Rev. E 110, 044902 (2024).
  24. S. Mandal and D. V. Khakhar, A study of the rheology of planar granular flow of dumbbells using discrete element method simulations, Phys. Fluids. 28, 103301 (2016).
  25. N. Taberlet, P. Richard, A. Valance, W. Losert, J. M. Pasini, J. T. Jenkins, and R. Delannay, Superstable granular heap in a thin channel, Phys. Rev. Lett. 91, 264301 (2003).
  26. P. Jop, Y. Forterre, and O. Pouliquen, Crucial role of sidewalls in granular surface flows: Consequences for the rheology, J. Fluid Mech. 541, 167 (2005).
  27. N. Taberlet, P. Richard, and R. Delannay, The effect of sidewall friction on dense granular flows, Comput. Math. Appl. 55, 230 (2008).
  28. P. Richard, A. Valance, J.-F. Métayer, P. Sanchez, J. Crassous, M. Louge, and R. Delannay, Rheology of confined granular flows: Scale invariance, glass transition, and friction weakening, Phys. Rev. Lett. 101, 248002 (2008).
  29. R. Artoni and P. Richard, Effective wall friction in wall-bounded 3D dense granular flows, Phys. Rev. Lett. 115, 158001 (2015).
  30. P. Richard, R. Artoni, A. Valance, and R. Delannay, Influence of lateral confinement on granular flows: Comparison between shear-driven and gravity-driven flows, Granular Matter 22, 81 (2020).
  31. C. Kloss, C. Goniva, A. Hager, S. Amberger, and S. Pirker, Models, algorithms and validation for opensource DEM and CFD–DEM, Prog. Comput. Fluid Dyn. Int. J. 12, 140 (2012).
  32. F. da Cruz, S. Emam, M. Prochnow, J.-N. Roux, and F. Chevoir, Rheophysics of dense granular materials: Discrete simulation of plane shear flows, Phys. Rev. E 72, 021309 (2005).
  33. G. Koval, J.-N. Roux, A. Corfdir, and F. Chevoir, Annular shear of cohesionless granular materials: From the inertial to quasistatic regime, Phys. Rev. E 79, 021306 (2009).
  34. C. Lun, Kinetic theory for granular flow of dense, slightly inelastic, slightly rough spheres, J. Fluid Mech. 233, 539 (1991).
  35. J. Talbot, C. Antoine, P. Claudin, E. Somfai, and T. Börzsönyi, Exploring noisy Jeffery orbits: A combined Fokker-Planck and Langevin analysis in two and three dimensions, Phys. Rev. E 110, 044143 (2024).
  36. P.-G. De Gennes and J. Prost, The Physics of Liquid Crystals, Vol. 83 (Oxford University Press, Oxford, 1993).
  37. R. Artoni, A. Soligo, J.-M. Paul, and P. Richard, Shear localization and wall friction in confined dense granular flows, J. Fluid Mech. 849, 395 (2018).
  38. A. Pol, “Collective alignment controls rotation frustration in granular flows of elongated particles”, Recherche Data Gouv, V1 (2026), https://doi.org/10.57745/XQB5LH.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation