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Numerical simulations of spatiotemporal instabilities in discontinuous shear-thickening fluids

Peter Angerman Orcid Logo, Bjornar Sandnes Orcid Logo, Ryohei Seto Orcid Logo, Marco Ellero

Journal of Fluid Mechanics, Volume: 1016

Swansea University Authors: Peter Angerman Orcid Logo, Bjornar Sandnes Orcid Logo, Marco Ellero

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DOI (Published version): 10.1017/jfm.2025.10178

Abstract

Discontinuous shear-thickening (DST) fluids exhibit unique instability properties in a wide range of flow conditions. We present numerical simulations of a scalar model for DST fluids in a planar simple shear using the smoothed particle hydrodynamics approach. The model reproduces the spatially homo...

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Published in: Journal of Fluid Mechanics
ISSN: 0022-1120 1469-7645
Published: Cambridge University Press (CUP) 2025
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URI: https://cronfa.swan.ac.uk/Record/cronfa69741
Abstract: Discontinuous shear-thickening (DST) fluids exhibit unique instability properties in a wide range of flow conditions. We present numerical simulations of a scalar model for DST fluids in a planar simple shear using the smoothed particle hydrodynamics approach. The model reproduces the spatially homogeneous instability mechanism based on the competition between the inertial and microstructural time scales, with good congruence to the theoretical predictions. Spatial inhomogeneities arising from a stress-splitting instability are rationalised within the context of local components of the microstructure evolution. Using this effect, the addition of non-locality in the model is found to produce an alternative mechanism of temporal instabilities, driven by the inhomogeneous pattern formation. The reported arrangement of the microstructure is generally in agreement with the experimental data on gradient pattern formation in DST. Simulations in a parameter space representative of realistic DST materials resulted in aperiodic oscillations in measured shear rate and stress, driven by formation of gap-spanning frictional structures.
Keywords: suspensions, nonlinear instability, rheology
College: Faculty of Science and Engineering
Funders: Basque Government; Spanish State Research Agency; National Natural Science Foundation of China; Wenzhou Institute of Biomaterials and Engineering; Engineering and Physical Sciences Research Council