Gillissen, JJJ;
Wilson, HJ;
(2018)
Modelling Sphere Suspension Microstructure and Stress.
Physical Review E
, 98
, Article 033119. 10.1103/PhysRevE.98.033119.
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Abstract
We develop a model for the microstructure and the stress, in dense suspensions of non-Brownian, perfectly smooth spheres at vanishing particle Reynolds number. These quantities are defined in terms of the second-order moment a of the distribution function of the orientation unit vector between hydro-dynamically interacting particles. We show, from first principles, that the evolution equation of a contains a source term, that accounts for the association and the dissociation of interacting particle pairs. This term provides a microscopic explanation for typical non-Newtonian behaviour, observed in experiments in the literature, including normal stress differences in steady shear flow, as well as time-dependent stress after abruptly reversed shear flow and during oscillating shear flow.
| Type: | Article |
|---|---|
| Title: | Modelling Sphere Suspension Microstructure and Stress |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevE.98.033119 |
| Publisher version: | https://doi.org/10.1103/PhysRevE.98.033119 |
| Language: | English |
| Additional information: | This is the published version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| 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/10055786 |
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