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Self-diffusion of Brownian particles in concentrated suspensions under shear

Bossis, G. and Brady, J. F. (1987) Self-diffusion of Brownian particles in concentrated suspensions under shear. Journal of Chemical Physics, 87 (9). pp. 5437-5448. ISSN 0021-9606. http://resolver.caltech.edu/CaltechAUTHORS:BOSjcp87

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Abstract

The self-diffusivity of Brownian hard spheres in a simple shear flow is studied by numerical simulation. Particle trajectories are calculated by Stokesian dynamics, with an accurate representation of the suspension hydrodynamics that includes both many-body interactions and lubrication. The simulations are of a monolayer of identical spheres as a function of the Péclet number: Pe =gamma-dot a^2/D0, which measures the relative importance of shear and Brownian forces. Here gamma-dot is the shear rate, a the particle radius, and D0 the diffusion coefficient of a single sphere at infinite dilution. In the absence of shear, using only hydrodynamic interactions, the simulations reproduce the pair-distribution function of the equivalent hard-disk system. Both short- and long-time self-diffusivities are determined as a function of the Péclet number. The results show a clear transition from a Brownian motion dominated regime (Pe<1) to a hydrodynamically dominated regime (Pe>10) with a dramatic change in the behavior of the long-time self-diffusivity.


Item Type:Article
Additional Information:Copyright © 1987 American Institute of Physics. Received 15 May 1987; accepted 29 July 1987. This work was supported in part by NSF Grant Nos. CBT-8451597 and INT-8413695 and by the Centre de Calcul Vectoriel pour la Recherche.
Subject Keywords:NONEQUILIBRIUM, SELF−DIFFUSION, BROWNIAN MOVEMENT, SUSPENSIONS, SHEAR FLOW, HYDRODYNAMICS, SIMULATION
Record Number:CaltechAUTHORS:BOSjcp87
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:BOSjcp87
Alternative URL:http://dx.doi.org/10.1063/1.453708
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10961
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:21 Jun 2008
Last Modified:26 Dec 2012 10:07

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