[Dynamique des interfaces et rhéologie des mélanges de deux liquides non miscibles]
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.
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.
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Mot clés : Rhéologie, Tension superficielle, Aire interfaciale, Équation de transport, Modèle de Doi–Ohta
Daniel Lhuillier 1
@article{CRMECA_2003__331_2_113_0,
author = {Daniel Lhuillier},
title = {Dynamics of interfaces and rheology of immiscible liquid{\textendash}liquid mixtures},
journal = {Comptes Rendus. M\'ecanique},
pages = {113--118},
publisher = {Elsevier},
volume = {331},
number = {2},
year = {2003},
doi = {10.1016/S1631-0721(02)00004-9},
language = {en},
}
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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