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Microstructural smoothed particle hydrodynamics model and simulations of discontinuous shear-thickening fluids

Peter Angerman Orcid Logo, Sagaya S. Prasanna Kumar Orcid Logo, Ryohei Seto Orcid Logo, Bjornar Sandnes Orcid Logo, Marco Ellero

Physics of Fluids, Volume: 36, Issue: 3

Swansea University Authors: Bjornar Sandnes Orcid Logo, Marco Ellero

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DOI (Published version): 10.1063/5.0188444

Abstract

Despite the recent interest in the discontinuous shear-thickening (DST) behavior, few computational works tackle the rich hydrodynamics of these fluids. In this work, we present the first implementation of a microstructural DST model in smoothed particle hydrodynamic (SPH) simulation. The scalar mod...

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Published in: Physics of Fluids
ISSN: 1070-6631 1089-7666
Published: AIP Publishing 2024
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URI: https://cronfa.swan.ac.uk/Record/cronfa66168
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Abstract: Despite the recent interest in the discontinuous shear-thickening (DST) behavior, few computational works tackle the rich hydrodynamics of these fluids. In this work, we present the first implementation of a microstructural DST model in smoothed particle hydrodynamic (SPH) simulation. The scalar model was implemented in an SPH scheme and tested in two flow geometries. Three distinct ratios of local to non-local microstructural effects were probed: zero, moderate, and strong non-locality. Strong and moderate cases yielded excellent agreement with flow curves constructed via the Wyart–Cates (WC) model, with the moderate case exhibiting banding patterns. We demonstrate that a local model is prone to a stress-splitting instability, resulting in discontinuous stress fields and poor agreement with the WC model. The mechanism of stress splitting has been explored and contextualized by the interaction of local microstructure evolution and the stress-control scheme. Analytic solutions for a body-force-driven DST channel flow have been derived and used to validate the SPH simulations with excellent agreement in velocity profiles. Simulations carried out at increasing driving forces exhibited a decrease in flow. We showed that even the simple scalar model can capture some of the key properties of DST materials, laying the foundation for further SPH study of instabilities and pattern formation.
Keywords: Deformation, Computational fluid dynamics, Non Newtonian fluids, Constitutive relations, Fluid flows, Hydrodynamics, Laminar flows, Rheology and fluid dynamics, Shear thickening
College: Faculty of Science and Engineering
Funders: P.A. and B.S. acknowledge funding from the Engineering and Physical Sciences Research Council (EP/S034587/1). This research is partially supported by the Basque Government through the BERC 2022-2025 program and by the Spanish State Research Agency through BCAM Severo Ochoa excellence accreditation CEX2021-0011 42-S/MICIN/AEI/10.13039/501100011033 and through the project PID2020-117080RB-C55 (“Microscopic foundations of softmatter experiments: computational nano-hydrodynamics” and acronym “Compu-Nano-Hydro”). R.S. acknowledges funding from the National Natural Science Foundation of China (12174390 and 12150610463) and Wenzhou Institute, University of Chinese Academy of Sciences (WIUCASQD2020002).
Issue: 3

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