Escott, Liam J;
Wilson, Helen J;
(2024)
Rheology of a suspension of deformable spheres in a weakly viscoelastic fluid.
Journal of Non-Newtonian Fluid Mechanics
, 330
, Article 105262. 10.1016/j.jnnfm.2024.105262.
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Abstract
In this work, we consider a suspension of weakly deformable solid particles within a weakly viscoelastic fluid. The fluid phase is modelled as a second-order fluid, and particles within the suspended phase are assumed linearly elastic and relatively dilute. We apply a cell model as a proxy for mean field flow, and solve analytically within a cellular fluid layer and its enclosed particle. We use an ensemble averaging process to derive analytical results for the bulk stress in suspension, and evaluate the macroscopic properties in both shear and extensional flow. Our viscometric functions align with existing literature over a surprisingly broad range of fluid and solid elasticities. The suspension behaves macroscopically as a second-order fluid, and we give simple formulae by which the reader can calculate the parameters of this effective fluid, for use in more complex simulations. We additionally calculate the particle shape and orientation, and in simple shear flow show that the leadingorder modifications to the angle of inclination
| Type: | Article |
|---|---|
| Title: | Rheology of a suspension of deformable spheres in a weakly viscoelastic fluid |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.jnnfm.2024.105262 |
| Publisher version: | https://doi.org/10.1016/j.jnnfm.2024.105262 |
| Language: | English |
| Additional information: | Copyright © 2024 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). |
| Keywords: | Dilute suspension, Second-order fluid, Elastic solid, Cell model, Solid–fluid interactions, Constitutive model, Angle of inclination |
| 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/10193263 |
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