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

Presented by: 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.

Abstract
Résumé

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, ….

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, ….

Received: 2007-12-13
Accepted: 2009-06-18
Published online: 2009-07-11

DOI: 10.1016/j.crma.2009.06.014

Author's affiliations:

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/

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