Viscoelastic surface instabilities

Anke Lindner; Christian Wagner

doi:10.1016/j.crhy.2009.10.017

Viscoelastic surface instabilities
[Instabilités interfaciales dans les liquides visco-élastiques]

Anke Lindner ¹ ; Christian Wagner ²

¹ Laboratoire de physique et mécanique des milieux hétérogènes (PMMH), UMR 7636 CNRS – ESPCI, universités Paris 6 et 7, 10, rue Vauquelin, 75231 Paris cedex 05, France
² Technische Physik, Universität des Saarlandes, Postfach 151150, 66041 Saarbrücken, Germany

Comptes Rendus. Physique, Volume 10 (2009) no. 8, pp. 712-727.

Résumé
Abstract

Nous discutons dans ce papier trois types d'instabilités interfaciales dans des liquides visco-élastiques : l'instabilité de Rayleigh–Plateau, l'instabilité de Saffman–Taylor et l'instabilité de Faraday. Ce sont toutes les trois des exemples typiques d'instabilités hydrodynamiques de surface. L'addition d'une faible quantité de polymères à de l'eau pure suffit à lui conférer un comportement fortement non-newtonien. Les instabilités dans ces solutions sont modifiées pas seulement de façon quantitative mais aussi dans leur nature. Nous montrons que des modèles rhéologiques simples peuvent expliquer l'origine des modifications observées sur les instabilités. Une description quantitative n'est en général possible uniquement près du seuil d'instabilité et uniquement pour des déviations faibles d'un comportement newtonien. Une description complète loin de l'équilibre et pour des propriétés non-newtoniennes fortes manque à ce jour.

We review three different types of viscoelastic surface instabilities: The Rayleigh–Plateau, the Saffman–Taylor and the Faraday instabilities. These instabilities are classical examples of hydrodynamic surface instabilities. The addition of a small amount of polymer to pure water can alter its flow behavior drastically and the type of instability may change not only quantitatively but also qualitatively. We will show that some of the observed new phenomena can be explained by the use of simple rheological models that contain most of the underlying physical mechanisms leading to the instability. A quantitative description however is often only possible close to the onset of the instability or for weak deviations from Newtonian behavior. A complete theoretical description is still lacking when the system is driven far from equilibrium or for fluids with strong non-Newtonian behavior.

Publié le : 2009-11-01

DOI : 10.1016/j.crhy.2009.10.017

Keywords: Pattern formation, Instability, Rheology, Polymer solution
Mot clés : Formation de motifs, Instabilité, Rhéologie, Solution de polymères

Affiliations des auteurs :

Anke Lindner ¹ ; Christian Wagner ²

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Anke Lindner; Christian Wagner. Viscoelastic surface instabilities. Comptes Rendus. Physique, Volume 10 (2009) no. 8, pp. 712-727. doi : 10.1016/j.crhy.2009.10.017. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2009.10.017/

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