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Shear-induced self-diffusion of inertial particles in a viscous fluid

Abbas, Micheline and Climent, Éric and Simonin, Olivier Shear-induced self-diffusion of inertial particles in a viscous fluid. (2009) Physical Review E (PRE), 7 (3). 036313(1)-036313(8). ISSN 1539-3755

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Official URL: http://dx.doi.org/10.1103/PhysRevE.79.036313


We propose a theoretical prediction of the self-diffusion tensor of inertial particles embedded in a viscous fluid. The derivation of the model is based on the kinetic theory for granular media including the effects of finite particle inertia and drag. The self-diffusion coefficients are expressed in terms of the components of the kinetic stress tensor in a general formulation. The model is valid from dilute to dense suspensions and its accuracy is verified in a pure shear flow. The theoretical prediction is compared to simulations of discrete particle trajectories assuming Stokes drag and binary collisions. We show that the prediction of the self-diffusion tensor is accurate provided that the kinetic stress components are correctly predicted.

Item Type:Article
Additional Information:This publication is available at http://pre.aps.org/
Audience (journal):International peer-reviewed journal
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Institution:Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
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Deposited On:06 Jan 2010 17:45

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