Comptes Rendus
Dynamics of interfaces and rheology of immiscible liquid–liquid mixtures
Comptes Rendus. Mécanique, Volume 331 (2003) no. 2, pp. 113-118.

In a mixture of two immiscible liquids, interfacial tension is responsible for the visco-elastic behaviour of the blend. To model such a peculiar behaviour, we formulate a fine-grained description of the interface motions and, after averaging, we obtain a coarse-grained description in the spirit of the Doi and Ohta model. While the Doi–Ohta model was restricted to immiscible liquids with equal viscosity and equal volume fractions, we here develop a model for arbitrary viscosities and concentrations.

Dans un mélange de deux liquides non miscibles, la tension superficielle est à l'origine de phénomènes qui confèrent au mélange des propriétés visco-élastiques. Pour rendre compte de ces phénomènes, il est d'abord nécessaire de suivre en détail le mouvement des interfaces puis, après moyenne, d'en donner une description macroscopique semblable à celle suggérée par Doi et Ohta il y a une dizaine d'années. Le modèle de Doi–Ohta supposait cependant l'égalité des viscosités et des concentrations volumiques des deux liquides. Ces hypothèses contraignantes sont ici supprimées.

Received:
Accepted:
Published online:
DOI: 10.1016/S1631-0721(02)00004-9
Keywords: Rheology, Interfacial tension, Interfacial area, Transport equation, Doi–Ohta model
Mot clés : Rhéologie, Tension superficielle, Aire interfaciale, Équation de transport, Modèle de Doi–Ohta

Daniel Lhuillier 1

1 Laboratoire de modélisation en mécanique, UPMC et CNRS, 8, rue du Capitaine Scott, 75015 Paris, France
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Daniel Lhuillier. Dynamics of interfaces and rheology of immiscible liquid–liquid mixtures. Comptes Rendus. Mécanique, Volume 331 (2003) no. 2, pp. 113-118. doi : 10.1016/S1631-0721(02)00004-9. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(02)00004-9/

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