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Structure, diffusion and rheology of Brownian suspensions by Stokesian Dynamics simulation

Foss, David R. and Brady, John F. (2000) Structure, diffusion and rheology of Brownian suspensions by Stokesian Dynamics simulation. Journal of Fluid Mechanics, 407 . pp. 167-200. ISSN 0022-1120. http://resolver.caltech.edu/CaltechAUTHORS:FOSjfm00

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Abstract

The non-equilibrium behaviour of concentrated colloidal dispersions is studied using Stokesian Dynamics, a molecular-dynamics-like simulation technique for analysing suspensions of particles immersed in a Newtonian fluid. The simulations are of a monodisperse suspension of Brownian hard spheres in simple shear flow as a function of the Péclet number, Pe, which measures the relative importance of hydrodynamic and Brownian forces, over a range of volume fraction 0.316 [less-than-or-eq, slant] [phi] [less-than-or-eq, slant] 0.49. For Pe < 10, Brownian motion dominates the behaviour, the suspension remains well-dispersed, and the viscosity shear thins. The first normal stress difference is positive and the second negative. At higher Pe, hydrodynamics dominate resulting in an increase in the long-time self-diffusivity and the viscosity. The first normal stress difference changes sign when hydrodynamics dominate. Simulation results are shown to agree well with both theory and experiment.


Item Type:Article
Additional Information:"Reprinted with the permission of Cambridge University Press." (Received April 20 1999) (Revised September 25 1999) Published online 8 September 2000 This work would not have been possible without the assistance of Thanh N. Phung who wrote the Stokesian Dynamics codes. The work was supported in part by grants CTS-9020646, CTS-9420415, and INT-9415673 from the National Science Foundation.
Subject Keywords:CONCENTRATED COLLOIDAL DISPERSIONS; SELF-DIFFUSION; SHEARED SUSPENSIONS; NUMERICAL-SIMULATION; SPHERICAL-PARTICLES; HARD-SPHERES; FLOW; VISCOSITY; BEHAVIOR; STRESS
Record Number:CaltechAUTHORS:FOSjfm00
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:FOSjfm00
Alternative URL:http://dx.doi.org/10.1017/S0022112099007557
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1584
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:01 Feb 2006
Last Modified:26 Dec 2012 08:45

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