The FENE viscoelastic model and thin film flows

Laurent Chupin

doi:10.1016/j.crma.2009.06.014

Partial Differential Equations

The FENE viscoelastic model and thin film flows
[Le modèle de fluide visco-élastique FENE et les écoulements minces]

Présenté par : Jean-Michel Bony

Laurent Chupin ¹

¹ Institut Camille Jordan (CNRS UMR 5208), 43, boulevard du 11 novembre 1918, 69622 Villeurbanne cedex, France

Comptes Rendus. Mathématique, Volume 347 (2009) no. 17-18, pp. 1041-1046.

Résumé
Abstract

L'objet de cette Note est de déterminer, de manière rigoureuse, une expression simplifiée de la loi comportementale d'un fluide visco-élastique de type FENE dans un écoulement en domaine mince. Le principe de la preuve utilise à la fois le comportement en temps long d'un écoulement FENE et l'existence d'une solution stationnaire à ce type de loi. On décrit brièvement quelques applications possibles de cette étude : dans les domaines de la lubrification, des écoulements sanguins, de la microfluidique, des couches limites, ….

This Note has as objective to determine, in a rigorous way, a simplified expression of the constitutive law for a visco-elastic fluid of FENE type in thin domains. The proof uses the FENE model behavior for long times and the existence of a stationary solution for this behavioral law. Some possible applications of this study are then briefly described in the domains of lubrication, blood flow, microfluidic, boundary layers, ….

Reçu le : 2007-12-13
Accepté le : 2009-06-18
Publié le : 2009-07-11

DOI : 10.1016/j.crma.2009.06.014

Affiliations des auteurs :

Laurent Chupin ¹

¹ Institut Camille Jordan (CNRS UMR 5208), 43, boulevard du 11 novembre 1918, 69622 Villeurbanne cedex, France

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     title = {The {FENE} viscoelastic model and thin film flows},
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Laurent Chupin. The FENE viscoelastic model and thin film flows. Comptes Rendus. Mathématique, Volume 347 (2009) no. 17-18, pp. 1041-1046. doi : 10.1016/j.crma.2009.06.014. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2009.06.014/

Bibliographie
Cité par

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