Journal of Fluid Mechanics


Shear-induced self-diffusion in non-colloidal suspensions

a1 Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, CA 91125, USA

Article author query
sierou a   [Google Scholar] 
brady j   [Google Scholar] 


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.

(Received August 9 2001)
(Revised November 17 2003)