Thermocapillary motion of a two-bubble cluster near a plane solid wall

Antoine Sellier

doi:10.1016/j.crme.2005.06.010

Thermocapillary motion of a two-bubble cluster near a plane solid wall

Presented by: Sébastien Candel

Antoine Sellier ¹

¹ LadHyX, École polytechnique, 91128 Palaiseau cedex, France

Comptes Rendus. Mécanique, Volume 333 (2005) no. 8, pp. 636-641.

Abstract
Résumé

The thermocapillary motion of two bubbles near a plane solid wall at uniform temperature is investigated by solving five boundary integral-equations. Preliminary computations show that wall–bubble interactions dictate the migration of equal bubbles with line of centers parallel to the wall.

Le mouvement thermocapillaire de deux bulles au voisinage d'un plan solide isotherme est obtenu par résolution de cinq équations intégrales de frontière. Les calculs présentés montrent que les interactions paroi–bulle pilotent en première approximation le mouvement de deux bulles de mêmes rayons placées à des distances identiques du plan.

Received: 2005-02-17
Accepted: 2005-06-22
Published online: 2005-08-01

DOI: 10.1016/j.crme.2005.06.010

Keywords: Fluid mechanics, Thermocapillarity, Wall–bubble interactions, Bubble–bubble interactions, Boundary formulation
Mots-clés : Mécanique des fluides, Thermocapillarité, Interactions bulle–paroi, Interactions bulle–bulle, Formulation intégrale

Author's affiliations:

Antoine Sellier ¹

¹ LadHyX, École polytechnique, 91128 Palaiseau cedex, France

@article{CRMECA_2005__333_8_636_0,
     author = {Antoine Sellier},
     title = {Thermocapillary motion of a two-bubble cluster near a plane solid wall},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {636--641},
     publisher = {Elsevier},
     volume = {333},
     number = {8},
     year = {2005},
     doi = {10.1016/j.crme.2005.06.010},
     language = {en},
}

TY  - JOUR
AU  - Antoine Sellier
TI  - Thermocapillary motion of a two-bubble cluster near a plane solid wall
JO  - Comptes Rendus. Mécanique
PY  - 2005
SP  - 636
EP  - 641
VL  - 333
IS  - 8
PB  - Elsevier
DO  - 10.1016/j.crme.2005.06.010
LA  - en
ID  - CRMECA_2005__333_8_636_0
ER  -

%0 Journal Article
%A Antoine Sellier
%T Thermocapillary motion of a two-bubble cluster near a plane solid wall
%J Comptes Rendus. Mécanique
%D 2005
%P 636-641
%V 333
%N 8
%I Elsevier
%R 10.1016/j.crme.2005.06.010
%G en
%F CRMECA_2005__333_8_636_0

Antoine Sellier. Thermocapillary motion of a two-bubble cluster near a plane solid wall. Comptes Rendus. Mécanique, Volume 333 (2005) no. 8, pp. 636-641. doi : 10.1016/j.crme.2005.06.010. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2005.06.010/

References
Cited by

[1] N.O. Young; J.S. Goldstein; M.J. Block The motion of bubbles in a vertical temperature gradient, J. Fluid Mech., Volume 197 (1959), pp. 350-356

[2] H.J. Keh; L.S. Chen Droplet interactions in thermocapillary migration, J. Chem. Engrg. Sci., Volume 48 (1993), pp. 3565-3582

[3] Y. Wang; R. Maury; A. Acrivos Thermocapillary migration of a bidisperse suspension of bubbles, J. Fluid Mech., Volume 261 (1994), pp. 47-64

[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] A. Sellier On the slow motion of a cluster of bubbles under the combined action of gravity and thermocapillarity, C. R. Mecanique, Volume 333 (2005) no. 2, pp. 111-116

[6] M. Meyyapan; W.R. Wilcox; R.S. Subramanian Thermocapillary migration of a bubble normal to a plane surface, J. Colloid Interface Sci., Volume 83 (1981), pp. 199-208

[7] M. Meyyapan; R.S. Subramanian Thermocapillary migration of a gas bubble in an arbitrary direction with respect to a plane surface, J. Colloid Interface Sci., Volume 115 (1987), pp. 206-219

[8] H. Kasumi; Y.E. Solomentsev; S.A. Guelcher; J.L. Anderson; P.J. Sides Thermocapillary flow and aggregation of bubbles on a solid wall, J. Colloid Interface Sci., Volume 232 (2000), pp. 111-120

[9] H. Kasumi; P.J. Sides; J.L. Anderson Interactions between two bubbles on a hot or cold wall, J. Colloid Interface Sci., Volume 276 (2004), pp. 239-247

[10] J.R. Blake A note on the image system for a Stokeslet in a no-slip boundary, Proc. Cambridge Philos. Soc., Volume 70 (1971), pp. 303-310

[11] C. Pozrikidis Boundary Integral and Singularity Methods for Linearized Viscous Flow, Cambridge University Press, Cambridge, 1992

Cited by Sources:

Comments - Policy