Deterministic solution of the kinetic theory model of colloidal suspensions of structureless particles
Article dans une revue avec comité de lecture
Auteur
MAITREJEAN, Guillaume 
AMMAR, Amine CHINESTA SORIA, FranciscoGRMELA, MiroslavRésumé
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.
Fichier(s) constituant cette publication
Cette publication figure dans le(s) laboratoire(s) suivant(s)
Documents liés
Visualiser des documents liés par titre, auteur, créateur et sujet.
-
Article dans une revue avec comité de lecture; ;CHINESTA SORIA, Francisco; AMMAR, Amine (Springer Verlag, 2013)
Smoluchowski kinetic equation governing the time evolution of the pair correlation function of rigid sphericalparticles suspended in a Newtonian fluid is extended to include particle migration. The extended kinetic equation ...
-
Article dans une revue avec comité de lecture;AMMAR, Amine; CHINESTA SORIA, Francisco; (Elsevier, 2014)
We extend the Maffettone–Minale model by including non-elliptical shapes of dispersed particles, a new family of internal forces controlling particle deformations, and particle–particle interactions. The last extension is ...
-
Article dans une revue avec comité de lecture;AMMAR, Amine; CHINESTA SORIA, Francisco (Elsevier, 2013)
The morphology influencing rheological properties of suspensions of rigid spheres constitutes the flow induced collective ordering of the spheres characterized by two or more sphere distribution functions. When the rigid ...
-
Article dans une revue avec comité de lecture;AMMAR, Amine; CHINESTA SORIA, Francisco (Springer Verlag, 2012)
The prediction of microstructure evolution during passive mixing is of major interest in order to qualify and quantify mixing devices as well as to predict the final morphology of the resulting blend. Direct numerical ...
-
Article dans une revue avec comité de lecturePRULIERE, Etienne; CHINESTA SORIA, Francisco; AMMAR, Amine; ; (Elsevier, 2012)
This paper addresses two issues usually encountered when simulating thermal processes in forming processes involving tape-type geometries, as is the case of tape or tow placement, surface treatments, / The first issue ...