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Constitutive Model for Time-Dependent Flows of Shear-Thickening Suspensions

Gillissen, JJJ; Ness, C; Petersen, JD; Wilson, HJ; Cates, ME; (2019) Constitutive Model for Time-Dependent Flows of Shear-Thickening Suspensions. Physical Review Letters , 123 (21) , Article 214504. 10.1103/PhysRevLett.123.214504. Green open access

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Abstract

We develop a tensorial constitutive model for dense, shear-thickening particle suspensions subjected to time-dependent flow. Our model combines a recently proposed evolution equation for the suspension microstructure in rate-independent materials with ideas developed previously to explain the steady flow of shear-thickening ones, whereby friction proliferates among compressive contacts at large particle stresses. We apply our model to shear reversal, and find good qualitative agreement with particle-level, discrete-element simulations whose results we also present.

Type: Article
Title: Constitutive Model for Time-Dependent Flows of Shear-Thickening Suspensions
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevLett.123.214504
Publisher version: https://doi.org/10.1103/PhysRevLett.123.214504
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Non-Newtonian fluids, Wet granular materials, Shear thickening
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/10084985
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