Settling motion of interacting solid particles in the vicinity of a plane solid boundary

Antoine Sellier

doi:10.1016/j.crme.2005.02.008

Settling motion of interacting solid particles in the vicinity of a plane solid boundary

Presented by: Évariste Sanchez-Palencia

Antoine Sellier ¹

¹ LadHyX, École polytechnique, 91128 Palaiseau cedex, France

Comptes Rendus. Mécanique, Volume 333 (2005) no. 5, pp. 413-418.

Abstract (Original language)
Résumé

The sedimentation of $N ⩾ 1$ small arbitrarily-shaped solid bodies near a solid plane is addressed by discarding inertial effects and using 6N boundary-integral equations. Numerical results for 2 or 3 identical spheres reveal that combined wall–particle and particle–particle interactions deeply depend on the cluster's geometry and distance to the wall and may even cancel for a sphere which then moves as it were isolated.

La sédimentation en régime de Stokes de $N ⩾ 1$ corps solides quelconques situés près d'une paroi plane est étudiée à l'aide de 6N équations de frontière. Les résultats pour 2 ou 3 sphères identiques montrent que la résultante des intéractions particule-particule et paroi-particule est très sensible à la disposition des sphères et peut même s'annuler pour l'une d'elles qui dans ce cas migre comme si elle était seule.

Received: 2004-11-05
Accepted: 2005-02-14
Published online: 2005-04-08

DOI: 10.1016/j.crme.2005.02.008

Keywords: Fluid mechanics, Sedimentation, Particle–particle interactions, Wall–particle interactions, Boundary elements
Mots-clés : Mécanique des fluides, Sédimentation, Interactions particule-particule, Interactions particule-paroi, Eléments de frontière

Author's affiliations:

Antoine Sellier ¹

¹ LadHyX, École polytechnique, 91128 Palaiseau cedex, France

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Antoine Sellier. Settling motion of interacting solid particles in the vicinity of a plane solid boundary. Comptes Rendus. Mécanique, Volume 333 (2005) no. 5, pp. 413-418. doi : 10.1016/j.crme.2005.02.008. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2005.02.008/

References
Cited by

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[10] M. Chaoui; F. Feuillebois Creeping flow around a sphere in shear flow close to a wall, Q. J. Mech. Appl. Math., Volume 56 (2003), pp. 381-410

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