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
|
(Document in English)
PDF (Author's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 476kB |
Official URL: http://dx.doi.org/10.1103/PhysRevE.79.036313
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.
Item Type: | Article |
---|---|
Additional Information: | This publication is available at http://pre.aps.org/ |
HAL Id: | hal-03573284 |
Audience (journal): | International peer-reviewed journal |
Uncontrolled Keywords: | |
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) |
Laboratory name: | Laboratoire de Génie Chimique - LGC (Toulouse, France) - Genie des Interfaces et des Milieux Disperses Institut de Mécanique des Fluides de Toulouse - IMFT (Toulouse, France) - PSC |
Statistics: | download |
Deposited On: | 06 Jan 2010 17:45 |
Repository Staff Only: item control page