A linear stability analysis of large-Prandtl-number thermocapillary liquid bridges

Abstract : A linear stability analysis is applied to determine the onset of oscillatory thermocapillary convection in cylindrical liquid bridges of large Prandtl numbers (4 ⩽ Pr ⩽ 50). We focus on the relationships between the critical Reynolds number Re c , the azimuthal wave number m, the aspect ratio C and the Prandtl number Pr. A detailed Re c–Pr stability diagram is given for liquid bridges with various C. In the region of Pr > 1, which has been less studied previously and where Re c has been usually believed to decrease with the increase of Pr, we found Re c exhibits an early increase for liquid bridges with C around one. From the computed surface temperature gradient, it is concluded that the boundary layers developed at both solid ends of liquid bridges strengthen the stability of basic axisymmetric thermocap-illary convection at large Prandtl number, and that the stability property of the basic flow is determined by the ''effective'' part of liquid bridge.
Type de document :
Article dans une revue
Advances in Space Research, Elsevier, 2008, 41 (12), pp.2094-2100. 〈10.1016/j.asr.2007.07.016〉
Liste complète des métadonnées

Littérature citée [30 références]  Voir  Masquer  Télécharger

https://hal.archives-ouvertes.fr/hal-01307161
Contributeur : Paul Gang Chen <>
Soumis le : jeudi 28 avril 2016 - 15:53:21
Dernière modification le : mercredi 18 juillet 2018 - 09:22:03
Document(s) archivé(s) le : mardi 15 novembre 2016 - 13:18:05

Fichier

liquid.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Collections

Citation

B Xun, Paul G. Chen, K Li, Z Yin, W.R. Hu. A linear stability analysis of large-Prandtl-number thermocapillary liquid bridges. Advances in Space Research, Elsevier, 2008, 41 (12), pp.2094-2100. 〈10.1016/j.asr.2007.07.016〉. 〈hal-01307161〉

Partager

Métriques

Consultations de la notice

132

Téléchargements de fichiers

59