UCL Discovery
UCL home » Library Services » Electronic resources » UCL Discovery

Investigation into the rheology of a solid sphere suspension in second-order fluid using a cell model

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. Green open access

[img]
Preview
Text
Wilson_PhysRevFluids.5.083301.pdf - Published version

Download (1MB) | Preview

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 > 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
Downloads since deposit
12Downloads
Download activity - last month
Download activity - last 12 months
Downloads by country - last 12 months

Archive Staff Only

View Item View Item