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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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.
|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|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Archive Administrator|
|Deposited On:||21 Jun 2008|
|Last Modified:||26 Dec 2012 10:07|
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