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EnglishWe present a calculation of the hydrodynamic self-diffusion coefficient of a tagged particle in a dilute mono-disperse suspension of small neutrally buoyant spheres undergoing a steady simple shearing motion. The displacement of the tagged particle parallel to the longitudinal or streamwise direction resulting from a "collision" with one other particle is calculated on the assumption that inertia and Brownian motion effects are negligible. Summing over different pairs leads to a logarithmically divergent integral for the diffusivity which is rendered finite by allowing for the cut-off due to the occasional presence of another pair of particles. The longitudinal shear-induced self-diffusion coefficient is thus found to be 0.267 a^2 gamma {c ln (1/c) + O(c)}, where gamma denotes the applied shear rate, a is the radius of the spheres and c their volume concentration.
| Autori interni: | ||
| Autori: | ACRIVOS A; BATCHELOR G K; HINCH E J; KOCH D L; MAURI R | |
| Titolo: | Longitudinal Shear-Induced Diffusion of Spheres in a Dilute Suspension | |
| Anno del prodotto: | 1992 | |
| Digital Object Identifier (DOI): | 10.1017/S0022112092000314 | |
| Appare nelle tipologie: | 1.1 Articolo in rivista |
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