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Shear-induced self-diffusion in non-colloidal suspensions

Published online by Cambridge University Press:  28 April 2004

ASIMINA SIEROU and
JOHN F. BRADY
ASIMINA SIEROU
Affiliation:
Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, CA 91125, USA
JOHN F. BRADY
Affiliation:
Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, CA 91125, USA
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Abstract

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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.

Information

Type
Papers
Information
Journal of Fluid Mechanics , Volume 506 , 10 May 2004, pp. 285 - 314
Copyright
© 2004 Cambridge University Press