On the slow motion of a cluster of bubbles under the combined action of gravity and thermocapillarity

Antoine Sellier

doi:10.1016/j.crme.2004.10.004

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 Sellier ¹

¹ LadHyX, École polytechnique, 91128 Palaiseau cedex, France

Comptes Rendus. Mécanique, Volume 333 (2005) no. 2, pp. 111-116.

Abstract (VO)
Résumé

The slow migration of N spherical bubbles under combined buoyancy and thermocapillarity effects is investigated by appealing solely to $3 N + 1$ 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.

On détermine la migration de N bulles sphériques sous l'action combinée de la pesanteur et d'effets thermocapillaires par la seule résolution de $3 N + 1$ 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.

Reçu le : 2004-08-11
Accepté le : 2004-10-11
Publié le : 2004-11-20

DOI : 10.1016/j.crme.2004.10.004

Keywords: Fluid mechanics, Buoyancy, Thermocapillarity, Boundary-integral equations
Mots-clés : Mécanique des fluides, Sédimentation, Thermocapillarité, Équations de frontière

Affiliations des auteurs :

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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Cité par

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