Deterministic solution of the kinetic theory model of colloidal suspensions of structureless particles
Language
en
Article de revue
This item was published in
Rheologica Acta. 2012-06, vol. 51, n° 6, p. 527-543
Springer Verlag
English 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 ...Read more >
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.Read less <
Italian Keywords
Colloidal suspensions
Smoluchowski equation
Proper generalized decomposition
Origin
Hal imported