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

Roles of solid effective stress and fluid-particle interaction force in modeling shear-induced particle migration in non-Brownian suspensions

Jamshidi, R; Gillissen, JJJ; Angeli, P; Mazzei, L; (2021) Roles of solid effective stress and fluid-particle interaction force in modeling shear-induced particle migration in non-Brownian suspensions. Physical Review Fluids , 6 (1) , Article 014301. 10.1103/physrevfluids.6.014301. Green open access

[thumbnail of Mazzei_PhysRevFluids.6.014301.pdf]
Preview
Text
Mazzei_PhysRevFluids.6.014301.pdf - Published Version

Download (549kB) | Preview

Abstract

The mixture, or suspension balance, model is the most frequently used to describe shear-induced particle migration in Newtonian fluids. The model suggests that neutrally buoyant particles migrate only if the effective stress tensor of the solid phase is nonuniform. In moderately dense suspensions, where direct particle contacts and interparticle forces are negligible, this tensor originates from the velocity fluctuations of the particles. Using Buyevich’s constitutive equation, we show that the time required by these fluctuations to induce significant particle migration exceeds considerably the timescale of the process, obtained experimentally. In particular, the ratio between these two timescales is proportional to the reciprocal of the Reynolds number; hence, for vanishingly small values of the Reynolds number (the case on which this work focuses), particle velocity fluctuations cannot be responsible for particle migration. We conclude that, if direct particle contacts and interparticle forces are absent, particle migration must have another driver. In the literature, it has been suggested that this is the lubrication forces between the particles. On this assumption, Morris and Boulay advanced a closure for the solid effective stress tensor. This closure seems to predict well the migration process, but as discussed by P. R. Nott, E. Guazzelli, and O. Pouliquen, The suspension balance model revisited, Phys. Fluids 23, 043304 (2011), it presents some conceptual issues. We investigate this matter and show that lubrication forces can induce particle migration, and the tensor quantifying their effect can be closed by Morris and Boulay’s equation; however, this tensor is not part of the effective stress tensor of the solid phase

Type: Article
Title: Roles of solid effective stress and fluid-particle interaction force in modeling shear-induced particle migration in non-Brownian suspensions
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/physrevfluids.6.014301
Publisher version: https://doi.org/10.1103/physrevfluids.6.014301
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 Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Chemical Engineering
URI: https://discovery.ucl.ac.uk/id/eprint/10118750
Downloads since deposit
101Downloads
Download activity - last month
Download activity - last 12 months
Downloads by country - last 12 months

Archive Staff Only

View Item View Item