title: Shear-induced self-diffusion of inertial particles in a viscous fluid.
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.
authors.affiliation: Laboratoire de Génie Chimique, CNRS-INPT-UPS UMR 5503, 5, Rue Paulin Talabot, 31106 Toulouse, France.
authors.forename: Micheline
authors.initials: M
authors.lastname: Abbas
authors.forename: Eric
authors.initials: E
authors.lastname: Climent
authors.forename: Olivier
authors.initials: O
authors.lastname: Simonin