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  • Open Access

Channel flow around an obstacle in a two-dimensional soft particle system

Bahaa Mazloum, Alexandre Stepanetz, Benjamin Dollet, and Misaki Ozawa*

  • *Contact author: misaki.ozawa@univ-grenoble-alpes.fr

APS Open Sci. 1, 000087 – Published 7 August, 2026

DOI: https://doi.org/10.1103/qy1b-d59q

Abstract

We numerically study confined channel flow around an obstacle using a two-dimensional soft-particle model, inspired by experiments performed in the same geometry. We systematically vary the polydispersity, the external driving force, and the packing fraction of the system. Our simulations capture a broad range of plastic flow phenomenologies, from highly directional, slidinglike motion characteristic of crystalline materials to more isotropic and localized rearrangements typical of amorphous systems. We identify a threshold value of polydispersity that marks the crossover between crystallinelike and amorphouslike plasticity. In addition, we observe the existence of a critical external force, associated with the phenomenon of yield drag, above which the system reaches steady flow and below which it remains arrested. We determine a critical packing fraction above which such yield-drag behavior emerges. Our results provide a comprehensive framework for understanding the interplay between disorder, driving, and the presence of an obstacle in channel flows.

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References (46)

  1. D. Bonn, M. M. Denn, L. Berthier, T. Divoux, and S. Manneville, Yield stress materials in soft condensed matter, Rev. Mod. Phys. 89, 035005 (2017).
  2. L. Berthier, G. Biroli, J.-P. Bouchaud, L. Cipelletti, and W. van Saarloos, Dynamical Heterogeneities in Glasses, Colloids, and Granular Media (Oxford University Press, Oxford, UK, 2011), Vol. 150.
  3. J. P. Sethna, M. K. Bierbaum, K. A. Dahmen, C. P. Goodrich, J. R. Greer, L. X. Hayden, J. P. Kent-Dobias, E. D. Lee, D. B. Liarte, X. Ni, et al., Deformation of crystals: Connections with statistical physics, Annu. Rev. Mater. Res. 47, 217 (2017).
  4. L. Bragg and J. F. Nye, A dynamical model of a crystal structure, Proc. R. Soc. A 190, 474 (1947).
  5. P. Oswald, Rheophysics: The Deformation and Flow of Matter (Cambridge University Press, Cambridge, 2014).
  6. A. S. Argon and H. Y. Kuo, Plastic flow in a disordered bubble raft (an analog of a metallic glass), Mater. Sci. Eng. 39, 101 (1979).
  7. V. V. Bulatov and A. S. Argon, A stochastic model for continuum elasto-plastic behavior. I. Numerical approach and strain localization, Modell. Simul. Mater. Sci. Eng. 2, 167 (1994).
  8. A. Nicolas, E. E. Ferrero, K. Martens, and J.-L. Barrat, Deformation and flow of amorphous solids: Insights from elastoplastic models, Rev. Mod. Phys. 90, 045006 (2018).
  9. D. Richard, M. Ozawa, S. Patinet, E. Stanifer, B. Shang, S. A. Ridout, B. Xu, G. Zhang, P. Morse, J.-L. Barrat, et al., Predicting plasticity in disordered solids from structural indicators, Phys. Rev. Mater. 4, 113609 (2020).
  10. D. Weaire and N. Rivier, Soap, cells and statistics—Random patterns in two dimensions, Contemp. Phys. 25, 59 (1984).
  11. G. Katgert, M. E. Möbius, and M. van Hecke, Rate dependence and role of disorder in linearly sheared two-dimensional foams, Phys. Rev. Lett. 101, 058301 (2008).
  12. A. I. Campbell and M. D. Haw, Jamming and unjamming of concentrated colloidal dispersions in channel flows, Soft Matter 6, 4688 (2010).
  13. D. Chen, K. W. Desmond, and E. R. Weeks, Topological rearrangements and stress fluctuations in quasi-two-dimensional hopper flow of emulsions, Soft Matter 8, 10486 (2012).
  14. L. Isa, R. Besseling, A. N. Morozov, and W. C. Poon, Velocity oscillations in microfluidic flows of concentrated colloidal suspensions, Phys. Rev. Lett. 102, 058302 (2009).
  15. P. Stevenson, in Foam Engineering: Fundamentals and Applications, edited by P. Stevenson (John Wiley & Sons, Ltd., Chichester, UK, 2012).
  16. K. Ma, R. Liontas, C. A. Conn, G. J. Hirasaki, and S. L. Biswal, Visualization of improved sweep with foam in heterogeneous porous media using microfluidics, Soft Matter 8, 10669 (2012).
  17. B. Géraud, S. A. Jones, I. Cantat, B. Dollet, and Y. Méheust, The flow of a foam in a two-dimensional porous medium, Water Resour. Res. 52, 773 (2016).
  18. D. Chehata, R. Zenit, and C. Wassgren, Dense granular flow around an immersed cylinder, Phys. Fluids 15, 1622 (2003).
  19. B. Dollet and F. Graner, Two-dimensional flow of foam around a circular obstacle: Local measurements of elasticity, plasticity and flow, J. Fluid Mech. 585, 181 (2007).
  20. D. L. Tokpavi, P. Jay, A. Magnin, and L. Jossic, Experimental study of the very slow flow of a yield stress fluid around a circular cylinder, J. Non-Newtonian Fluid Mech. 164, 35 (2009).
  21. L. Viitanen, J. Koivisto, A. Puisto, M. Alava, and S. Santucci, Probing the local response of a two-dimensional foam, Eur. Phys. J. B 92, 38 (2019).
  22. T. Zisis and E. Mitsoulis, Viscoplastic flow around a cylinder kept between parallel plates, J. Non-Newtonian Fluid Mech. 105, 1 (2002).
  23. M. Mousavi, Y. Dimakopoulos, and J. Tsamopoulos, Elasto-visco-plastic flows in benchmark geometries: II. Flow around a confined cylinder, J. Non-Newtonian Fluid Mech. 336, 105384 (2025).
  24. C. Raufaste, B. Dollet, S. J. Cox, Y. Jiang, and F. Graner, Yield drag in a two-dimensional foam flow around a circular obstacle: Effect of liquid fraction, Eur. Phys. J. E 23, 217 (2007).
  25. I. Cantat and O. Pitois, Stokes experiment in a liquid foam, Phys. Fluids 18, 083302 (2006).
  26. D. S. Fisher, Collective transport in random media: From superconductors to earthquakes, Phys. Rep. 301, 113 (1998).
  27. C. Reichhardt and C. O. Reichhardt, Depinning and nonequilibrium dynamic phases of particle assemblies driven over random and ordered substrates: A review, Rep. Prog. Phys. 80, 026501 (2017).
  28. D. J. Durian, Foam mechanics at the bubble scale, Phys. Rev. Lett. 75, 4780 (1995).
  29. C. E. Maloney and A. Lemaitre, Amorphous systems in athermal, quasistatic shear, Phys. Rev. E 74, 016118 (2006).
  30. F. Ghimenti, M. Ozawa, G. Biroli, and G. Tarjus, Shear-induced phase behavior and topological defects in two-dimensional crystals, Phys. Rev. B 109, 104114 (2024).
  31. D. J. Durian, Bubble-scale model of foam mechanics: Melting, nonlinear behavior, and avalanches, Phys. Rev. E 55, 1739 (1997).
  32. T. Okuzono and K. Kawasaki, Intermittent flow behavior of random foams: A computer experiment on foam rheology, Phys. Rev. E 51, 1246 (1995).
  33. I. Cantat, Gibbs elasticity effect in foam shear flows: A non quasi-static 2d numerical simulation, Soft Matter 7, 448 (2011).
  34. F. Boulogne and S. J. Cox, Elastoplastic flow of foam around an obstacle, Phys. Rev. E 83, 041404 (2011).
  35. N. Kern, D. Weaire, A. Martin, S. Hutzler, and S. J. Cox, Two-dimensional viscous froth model for foam dynamics, Phys. Rev. E 70, 041411 (2004).
  36. D. C. Morse and T. A. Witten, Droplet elasticity in weakly compressed emulsions, Europhys. Lett. 22, 549 (1993).
  37. R. Höhler and D. Weaire, Can liquid foams and emulsions be modeled as packings of soft elastic particles?, Adv. Colloid Interface Sci. 263, 19 (2019).
  38. N. D. Denkov, S. Tcholakova, K. Golemanov, K. P. Ananthapadmanabhan, and A. Lips, Viscous friction in foams and concentrated emulsions under steady shear, Phys. Rev. Lett. 100, 138301 (2008).
  39. C. Raufaste, A. Foulon, and B. Dollet, Dissipation in quasi-two-dimensional flowing foams, Phys. Fluids 21, 053102 (2009).
  40. I. Ben Salem, I. Cantat, and B. Dollet, Response of a two-dimensional liquid foam to air injection: Swelling rate, fingering and fracture, J. Fluid Mech. 714, 258 (2013).
  41. J. Lin, E. Lerner, A. Rosso, and M. Wyart, Scaling description of the yielding transition in soft amorphous solids at zero temperature, Proc. Natl. Acad. Sci. USA 111, 14382 (2014).
  42. G. Jung, R. M. Alkemade, V. Bapst, D. Coslovich, L. Filion, F. P. Landes, A. J. Liu, F. S. Pezzicoli, H. Shiba, G. Volpe, et al., Roadmap on machine learning glassy dynamics, Nat. Rev. Phys. 7, 91 (2025).
  43. B. Mazloum, A. Stepanetz, B. Dollet, and M. Ozawa, Source code and dataset for “Channel flow around an obstacle in a two-dimensional soft particle system”, Github, 2026, https://github.com/mazloum-bahaa.
  44. M. L. Falk and J. S. Langer, Dynamics of viscoplastic deformation in amorphous solids, Phys. Rev. E 57, 7192 (1998).
  45. Y. Nishikawa, M. Ozawa, A. Ikeda, P. Chaudhuri, and L. Berthier, Relaxation dynamics in the energy landscape of glass-forming liquids, Phys. Rev. X 12, 021001 (2022).
  46. Y. Takaha, H. Mizuno, and A. Ikeda, Avalanche criticality emerges by thermal fluctuation in a quiescent glass, Phys. Rev. E 112, L043401 (2025).

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