Deterministic solution of the kinetic theory model of colloidal suspensions of structureless particles
Idioma
en
Article de revue
Este ítem está publicado en
Rheologica Acta. 2012-06, vol. 51, n° 6, p. 527-543
Springer Verlag
Resumen en inglés
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 ...Leer más >
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.< Leer menos
Palabras clave en italiano
Colloidal suspensions
Smoluchowski equation
Proper generalized decomposition
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