Dresden 2026 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 19: Franco-German Session on Granular Matter I

DY 19.2: Vortrag

Dienstag, 10. März 2026, 10:00–10:15, HÜL/S186

Rheology of suspensions of non-Brownian spheres across the jamming and viscous-to-inertial transition — •Franco Tapia^1,2, Olivier Pouliquen², Chong-Wei Hong², Pascale Aussillous², and Elisabeth Guazzelli³ — ¹Institute of Urban and Industrial Water Management, TU Dresden, Dresden, Germany — ²Aix-Marseille Université, CNRS, IUSTI, Marseille, France — ³Université Paris Cité, CNRS, Matiére et Systèmes Complexes (MSC) UMR 7057, Paris, France

We study the rheology of suspensions of non-Brownian hard and soft particles across the jamming transition and within both viscous and inertial flow regimes, using a custom-built pressure- and volume-imposed rheometer. Our results, expressed in terms of the effective friction coefficient and packing fraction, demonstrate that suspensions of hard spheres exhibit continuous shear thickening when inertia becomes significant at a transitional Stokes number of 10, independent of the packing fraction. These findings can be extended to a Soft Granular Rheology model by renormalizing the volume fraction and friction coefficient to pressure-dependent values, incorporating both viscous and inertial stress scales. SGranR successfully captures the rheological behavior, showing an approximate collapse into two branches through power-law scaling relative to the distance from the jamming point: (i) above the jamming transition, where the behavior is described by a generalized Herschel-Bulkley law with yield stress and shear thinning, and (ii) below the jamming point, where the behavior follows a critical power law, with shear thinning near the jamming point.

Keywords: Rheology; Dense Suspension; Jamming Transition; Flow Transition; Yield stress