Escott, L;
Wilson, H;
(2020)
Investigation into the rheology of a solid sphere suspension in second-order fluid using a cell model.
Physical Review Fluids
, 5
, Article 083301. 10.1103/PhysRevFluids.5.083301.
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Abstract
We consider a suspension of solid spheres in a viscoelastic suspending fluid. We use the second-order fluid model to capture the first effects of viscoelasticity in the suspension and a mean-field cell model to express the influence of the solid particles. We create a semianalytical constitutive equation for the whole suspension, a second-order fluid with modified material parameters. We find that, in simple shear, the ratio of first normal stress difference to shear stress is independent of volume fraction, but that the second normal stress difference can change sign as the volume fraction of solids increases. Our model is valid for all flows for which the second-order fluid expansion is applicable.
| Type: | Article |
|---|---|
| Title: | Investigation into the rheology of a solid sphere suspension in second-order fluid using a cell model |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PhysRevFluids.5.083301 |
| Publisher version: | https://doi.org/10.1103/PhysRevFluids.5.083301 |
| 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. |
| 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/10106896 |
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