On the slow gravity-driven migration of arbitrary clusters of small solid particles

Antoine Sellier

doi:10.1016/j.crme.2004.09.002

On the slow gravity-driven migration of arbitrary clusters of small solid particles

Presented by: Évariste Sanchez-Palencia

Antoine Sellier ¹

¹ LadHyX, École polytechnique, 91128 Palaiseau cedex, France

Comptes Rendus. Mécanique, Volume 332 (2004) no. 12, pp. 987-992.

Abstract
Résumé

A new approach is advocated to compute at a low cpu time cost the rigid-body motions of settling solid particles when inertial effects are negligible. In addition to the relevant boundary-integral equations, the numerical implementation and a few convincing benchmark tests we address two configurations of equivalent spheres and spheroids, i.e. that exhibit when isolated the same settling velocity.

On propose une approche originale pour déterminer le mouvement d'une assemblée de particules solides et de formes arbitraires soumise à l'action de la pesanteur dans l'approximation de Stokes. Outre les intégrales de frontière et la méthode numérique associées on présente quelques comparaisons et examine le cas de deux configurations de sphères et ellipsoides de révolution équivalents, c'est-à-dire dotés lorsqu'ils sont seuls de la même vitesse de sédimentation.

Received: 2004-06-29
Accepted: 2004-09-02
Published online: 2004-11-02

DOI: 10.1016/j.crme.2004.09.002

Keywords: Fluid mechanics, Sedimentation, Particle–particle interactions, Boundary-integral
Mots-clés : Mécanique des fluides, Sédimentation, Interactions, Équations de frontière

Author's affiliations:

Antoine Sellier ¹

¹ LadHyX, École polytechnique, 91128 Palaiseau cedex, France

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Antoine Sellier. On the slow gravity-driven migration of arbitrary clusters of small solid particles. Comptes Rendus. Mécanique, Volume 332 (2004) no. 12, pp. 987-992. doi : 10.1016/j.crme.2004.09.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.09.002/

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