Numerical simulations of spatiotemporal instabilities in discontinuous shear-thickening fluids

Angerman, Peter; Sandnes, Bjornar; Seto, Ryohei; Ellero, Marco

doi:10.1017/jfm.2025.10178

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Numerical simulations of spatiotemporal instabilities in discontinuous shear-thickening fluids

Peter Angerman

, Bjornar Sandnes

, Ryohei Seto

, Marco Ellero

Journal of Fluid Mechanics, Volume: 1016

Swansea University Authors: Peter Angerman , Bjornar Sandnes , 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
Online Access:	Check full text
URI:	https://cronfa.swan.ac.uk/Record/cronfa69741

first_indexed	2025-06-16T10:11:06Z
last_indexed	2025-09-30T08:54:14Z
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spelling	2025-09-29T14:22:17.5275087 v2 69741 2025-06-16 Numerical simulations of spatiotemporal instabilities in discontinuous shear-thickening fluids 21c63965776b156af8d6c2643b645e08 0009-0003-2227-7553 Peter Angerman Peter Angerman true false 61c7c04b5c804d9402caf4881e85234b 0000-0002-4854-5857 Bjornar Sandnes Bjornar Sandnes true false 84f2af0791d38bdbf826728de7e5c69d Marco Ellero Marco Ellero true false 2025-06-16 EAAS 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. Journal Article Journal of Fluid Mechanics 1016 Cambridge University Press (CUP) 0022-1120 1469-7645 suspensions, nonlinear instability, rheology 4 8 2025 2025-08-04 10.1017/jfm.2025.10178 COLLEGE NANME Engineering and Applied Sciences School COLLEGE CODE EAAS Swansea University SU Library paid the OA fee (TA Institutional Deal) Basque Government; Spanish State Research Agency; National Natural Science Foundation of China; Wenzhou Institute of Biomaterials and Engineering; Engineering and Physical Sciences Research Council 2025-09-29T14:22:17.5275087 2025-06-16T11:07:54.9178477 Faculty of Science and Engineering School of Engineering and Applied Sciences - Chemical Engineering Peter Angerman 0009-0003-2227-7553 1 Bjornar Sandnes 0000-0002-4854-5857 2 Ryohei Seto 0000-0002-4099-034x 3 Marco Ellero 4 69741__35192__240c56af28a246b8bed1cff96aa3b048.pdf 69741.VoR.pdf 2025-09-29T14:19:22.4824353 Output 1465332 application/pdf Version of Record true © The Author(s), 2025. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence. true eng https://creativecommons.org/licenses/by/4.0/
title	Numerical simulations of spatiotemporal instabilities in discontinuous shear-thickening fluids
spellingShingle	Numerical simulations of spatiotemporal instabilities in discontinuous shear-thickening fluids Peter Angerman Bjornar Sandnes Marco Ellero
title_short	Numerical simulations of spatiotemporal instabilities in discontinuous shear-thickening fluids
title_full	Numerical simulations of spatiotemporal instabilities in discontinuous shear-thickening fluids
title_fullStr	Numerical simulations of spatiotemporal instabilities in discontinuous shear-thickening fluids
title_full_unstemmed	Numerical simulations of spatiotemporal instabilities in discontinuous shear-thickening fluids
title_sort	Numerical simulations of spatiotemporal instabilities in discontinuous shear-thickening fluids
author_id_str_mv	21c63965776b156af8d6c2643b645e08 61c7c04b5c804d9402caf4881e85234b 84f2af0791d38bdbf826728de7e5c69d
author_id_fullname_str_mv	21c63965776b156af8d6c2643b645e08_*_Peter Angerman 61c7c04b5c804d9402caf4881e85234b__Bjornar Sandnes 84f2af0791d38bdbf826728de7e5c69d_**_Marco Ellero
author	Peter Angerman Bjornar Sandnes Marco Ellero
author2	Peter Angerman Bjornar Sandnes Ryohei Seto Marco Ellero
format	Journal article
container_title	Journal of Fluid Mechanics
container_volume	1016
publishDate	2025
institution	Swansea University
issn	0022-1120 1469-7645
doi_str_mv	10.1017/jfm.2025.10178
publisher	Cambridge University Press (CUP)
college_str	Faculty of Science and Engineering
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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	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.
published_date	2025-08-04T05:28:57Z
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score	11.089386

Numerical simulations of spatiotemporal instabilities in discontinuous shear-thickening fluids

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