Comptes Rendus
Evolution of the volumetric interfacial area in two-phase mixtures
[Evolution de l'aire interfaciale volumique dans les mélanges diphasiques]
Comptes Rendus. Mécanique, Volume 332 (2004) no. 2, pp. 103-108.

Nous cherchons à décrire l'évolution temporelle de la densité d'interfaces dans un mélange diphasique. L'accent est mis sur les effets de la compressibilité, de la dilatabilité et des changements de phase. Deux chemins complémentaires sont suivis : le premier, assez intuitif, est basé sur des résultats concernant les mélanges dilués, résultats qui sont ensuite interpolés à toute concentration ; le second, plus systématique, est basé sur la moyenne statistique de l'équation qui régit l'évolution temporelle d'un élément d'interface.

We investigate the time evolution of the density of interfaces in a two-phase mixture, with particular emphasis on the role of compressibility, dilatability and phase transitions. Two different and complementary routes are considered: a rather intuitive one based on exact results for dilute mixtures which are then interpolated to all concentrations, and a more systematic approach based on the statistical average of the exact transport equation for elementary pieces of interfaces.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2003.12.004
Keywords: Rheology, Interfacial area, Transport equation, Two-phase mixtures
Mot clés : Rhéologie, Aire interfaciale, Équation de transport, Mélanges diphasiques

Daniel Lhuillier 1

1 Laboratoire de modélisation en mécanique, UPMC et CNRS, case 162, 4, place Jussieu, 75252 Paris cedex 05, France
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Daniel Lhuillier. Evolution of the volumetric interfacial area in two-phase mixtures. Comptes Rendus. Mécanique, Volume 332 (2004) no. 2, pp. 103-108. doi : 10.1016/j.crme.2003.12.004. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2003.12.004/

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