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Deterministic solution of the kinetic theory model of colloidal suspensions of structureless particles

Article dans une revue avec comité de lecture
Author
MAITREJEAN, Guillaume
ccAMMAR, Amine
211916 Laboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA]
ccCHINESTA SORIA, Francisco
111023 École Centrale de Nantes [ECN]
GRMELA, Miroslav
57241 École Polytechnique de Montréal [EPM]

URI
http://hdl.handle.net/10985/8466
DOI
10.1007/s00397-011-0609-3
Date
2012
Journal
Rhetoric Review

Abstract

A direct modeling of colloidal suspensions consists of calculating trajectories of all suspended objects. Due to the large time computing and the large cost involved in such calculations, we consider in this paper another route. Colloidal suspensions are described on a mesoscopic level by a distribution function whose time evolution is governed by a Fokker–Plancklike equation. The difficulty encountered on this route is the high dimensionality of the space in which the distribution function is defined. A novel strategy is used to solve numerically the Fokker–Planck equation circumventing the curse of dimensionality issue. Rheological and morphological predictions of the model that includes both direct and hydrodynamic interactions are presented in different flows.

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