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An analytic form for the pair distribution function and rheology of a dilute suspension of rough spheres in plane strain flow

Wilson, HJ; (2005) An analytic form for the pair distribution function and rheology of a dilute suspension of rough spheres in plane strain flow. J FLUID MECH , 534 97 - 114. 10.1017/S0022112005004623. Green open access

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Abstract

The effect of particle-particle contact on the stress of a suspension of small spheres in plane strain flow is investigated. We provide an analytic form for the particle pair distribution function in the case of no Brownian motion, and calculate the viscosity and normal stress difference based on this. We show that the viscosity is reduced by contact, and a normal stress difference induced, both at order c(2) for small particle volume concentration c. In addition, we investigate the effect of a small amount of diffusion on the structure of the distribution function, giving a self-consistent form for the density in the O(aPe(-1)) boundary layer and demonstrating that diffusion reduces the magnitude of the contact effect but does not qualitatively alter it.

Type: Article
Title: An analytic form for the pair distribution function and rheology of a dilute suspension of rough spheres in plane strain flow
Open access status: An open access version is available from UCL Discovery
DOI: 10.1017/S0022112005004623
Publisher version: http://dx.doi.org/10.1017/S0022112005004623
Language: English
Additional information: © 2005 Cambridge University Press
Keywords: REYNOLDS-NUMBER FLOW, HYDRODYNAMIC INTERACTIONS, MOLECULAR DIMENSIONS, SPHERICAL-PARTICLES, SURFACE-ROUGHNESS, BROWNIAN-MOTION, BULK STRESS, PRESSURE
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/452
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