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Transients in shear thickening suspensions: When hydrodynamics matters

Shivakumar Athani1, Bloen Metzger2, Yoël Forterre2, and Romain Mari1

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Phys. Rev. Fluids 10, 043301 – Published 9 April, 2025

DOI: https://doi.org/10.1103/PhysRevFluids.10.043301

Abstract

Using particle-based numerical simulations performed under pressure-imposed conditions, we investigate the transient dilation dynamics of a shear thickening suspension brought to shear jamming. We show that the stress levels, instead of diverging as predicted by steady-state flow rules, remain finite and are entirely determined by the coupling between the particle network dilation and the resulting Darcy backflow. System-spanning stress gradients along the dilation direction lead to cross-system stress differences scaling quadratically with the system size. Measured stress levels are quantitatively captured by a continuum model based on a Reynolds-like dilatancy law and the Wyart-Cates constitutive model. Beyond globally jammed suspensions, our results enable the modeling of inhomogeneous flows where shear jamming is local, e.g., under impact, which eludes usual shear thickening rheological laws.

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Phys. Rev. Fluids 10, 043301– Published 9 April, 2025
  • Received 27 August 2024
  • Accepted 4 March 2025
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