Shear-induced self-diffusion of inertial particles in a viscous fluid - Archive ouverte HAL Access content directly
Journal Articles Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Year : 2009

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

Micheline Abbas
Éric Climent

Abstract

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.
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Dates and versions

hal-03573284 , version 1 (14-02-2022)

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Micheline Abbas, Éric Climent, Olivier Simonin. Shear-induced self-diffusion of inertial particles in a viscous fluid. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2009, 7 (3), pp.036313(1)-036313(8). ⟨10.1103/PhysRevE.79.036313⟩. ⟨hal-03573284⟩
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