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Published May 10, 2004 | public
Journal Article Open

Shear-induced self-diffusion in non-colloidal suspensions

Abstract

Self-diffusion in a monodisperse suspension of non-Brownian particles in simple shear flow is studied using accelerated Stokesian dynamics (ASD) simulation. The availability of a much faster computational algorithm allows the study of large systems (typically of 1000 particles) and the extraction of accurate results for the complete shear-induced self-diffusivity tensor. The finite, and often large, autocorrelation time requires the mean-square displacements to be followed for very long times, which is now possible with ASD. The self-diffusivities compare favourably with the available experimental measurements when allowance is made for the finite strains sampled in the experiments. The relationship between the mean-square displacements and the diffusivities appearing in a Fokker–Planck equation when advection couples to diffusion is discussed.

Additional Information

"Reprinted with the permission of Cambridge University Press." Received 9 August 2001 and in revised form 17 November 2003) Published online 28 April 2004 This work was supported in part by grant NAG8-1661 from NASA and by a Dow graduate fellowship to A. S. Access to an Alpha-based Beowulf cluster at the California Institute of Technology was provided by the Center for Advanced Computing Research. Discussions with G. Subramanian regarding the Fokker–Planck analysis were very helpful.

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August 22, 2023
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