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

PETER ANGERMAN, 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: PETER ANGERMAN, 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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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. 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spelling v2 66168 2024-04-25 Microstructural smoothed particle hydrodynamics model and simulations of discontinuous shear-thickening fluids 016c22005494b4c3e22b73a12ee35b08 PETER ANGERMAN PETER ANGERMAN true false 61c7c04b5c804d9402caf4881e85234b 0000-0002-4854-5857 Bjornar Sandnes Bjornar Sandnes true false 84f2af0791d38bdbf826728de7e5c69d Marco Ellero Marco Ellero true false 2024-04-25 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. Journal Article Physics of Fluids 36 3 AIP Publishing 1070-6631 1089-7666 Deformation, Computational fluid dynamics, Non Newtonian fluids, Constitutive relations, Fluid flows, Hydrodynamics, Laminar flows, Rheology and fluid dynamics, Shear thickening 1 3 2024 2024-03-01 10.1063/5.0188444 COLLEGE NANME COLLEGE CODE Swansea University SU Library paid the OA fee (TA Institutional Deal) 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). 2024-05-14T14:49:22.1993394 2024-04-25T13:01:31.1460798 Faculty of Science and Engineering School of Engineering and Applied Sciences - Chemical Engineering PETER ANGERMAN 1 Sagaya S. Prasanna Kumar 0000-0002-6867-5923 2 Ryohei Seto 0000-0002-4099-034x 3 Bjornar Sandnes 0000-0002-4854-5857 4 Marco Ellero 5 66168__30147__de7dcc79842348b18aeff86a83466f5f.pdf 66168.pdf 2024-04-25T13:16:33.2283996 Output 2940284 application/pdf Version of Record true Copyright: 2024 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution (CC BY) license. true eng http://creativecommons.org/licenses/by/4.0/
title Microstructural smoothed particle hydrodynamics model and simulations of discontinuous shear-thickening fluids
spellingShingle Microstructural smoothed particle hydrodynamics model and simulations of discontinuous shear-thickening fluids
PETER ANGERMAN
Bjornar Sandnes
Marco Ellero
title_short Microstructural smoothed particle hydrodynamics model and simulations of discontinuous shear-thickening fluids
title_full Microstructural smoothed particle hydrodynamics model and simulations of discontinuous shear-thickening fluids
title_fullStr Microstructural smoothed particle hydrodynamics model and simulations of discontinuous shear-thickening fluids
title_full_unstemmed Microstructural smoothed particle hydrodynamics model and simulations of discontinuous shear-thickening fluids
title_sort Microstructural smoothed particle hydrodynamics model and simulations of discontinuous shear-thickening fluids
author_id_str_mv 016c22005494b4c3e22b73a12ee35b08
61c7c04b5c804d9402caf4881e85234b
84f2af0791d38bdbf826728de7e5c69d
author_id_fullname_str_mv 016c22005494b4c3e22b73a12ee35b08_***_PETER ANGERMAN
61c7c04b5c804d9402caf4881e85234b_***_Bjornar Sandnes
84f2af0791d38bdbf826728de7e5c69d_***_Marco Ellero
author PETER ANGERMAN
Bjornar Sandnes
Marco Ellero
author2 PETER ANGERMAN
Sagaya S. Prasanna Kumar
Ryohei Seto
Bjornar Sandnes
Marco Ellero
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container_title Physics of Fluids
container_volume 36
container_issue 3
publishDate 2024
institution Swansea University
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1089-7666
doi_str_mv 10.1063/5.0188444
publisher AIP Publishing
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department_str School of Engineering and Applied Sciences - Chemical Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Chemical Engineering
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description 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.
published_date 2024-03-01T14:49:21Z
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