Comptes Rendus
no. 2
On the slow motion of a cluster of bubbles under the combined action of gravity and thermocapillarity
[Sur la migration d'un ensemble de bulles sous l'action conjuguée de la pesanteur et d'effets thermocapillaires]

Présenté par : Sébastien Candel

Antoine Sellier1
1 LadHyX, École polytechnique, 91128 Palaiseau cedex, France
Comptes Rendus. Mécanique, Volume 333 (2005) no. 2, pp. 111-116.

On détermine la migration de N bulles sphériques sous l'action combinée de la pesanteur et d'effets thermocapillaires par la seule résolution de 3N+1 équations de frontière. Outre la théorie et sa mise en oeuvre numérique on présente les premiers résultats obtenus pour quelques situations à 2, 3, 4 ou 5 bulles avec une attention particulière pour les configurations rigides.

The slow migration of N spherical bubbles under combined buoyancy and thermocapillarity effects is investigated by appealing solely to 3N+1 boundary-integral equations. In addition to the theory and the associated implementation strategy, preliminary numerical results are both presented and discussed for a few clusters involving 2, 3, 4 or 5 bubbles with a special attention paid to the case of rigid configurations.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2004.10.004
Keywords: Fluid mechanics, Buoyancy, Thermocapillarity, Boundary-integral equations
Mot clés : Mécanique des fluides, Sédimentation, Thermocapillarité, Équations de frontière
Antoine Sellier 1

1 LadHyX, École polytechnique, 91128 Palaiseau cedex, France 
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Antoine Sellier. On the slow motion of a cluster of bubbles under the combined action of gravity and thermocapillarity. Comptes Rendus. Mécanique, Volume 333 (2005) no. 2, pp. 111-116. doi : 10.1016/j.crme.2004.10.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2004.10.004/

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[4] A. Sellier On the capillary motion of arbitrary clusters of spherical bubbles. Part 1. General theory, J. Fluid Mech., Volume 197 (2004), pp. 391-401

[5] M. Meyyappan; W. Wilcox; R.S. Subramanian The slow axisymmetric motion of two bubbles in a thermal gradient, J. Colloid Interf. Sci., Volume 94 (1983), pp. 243-257

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