[Le modèle de fluide visco-élastique FENE et les écoulements minces]
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, ….
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@article{CRMATH_2009__347_17-18_1041_0,
author = {Chupin, Laurent},
title = {The {FENE} viscoelastic model and thin film flows},
journal = {Comptes Rendus. Math\'ematique},
pages = {1041--1046},
publisher = {Elsevier},
volume = {347},
number = {17-18},
year = {2009},
doi = {10.1016/j.crma.2009.06.014},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2009.06.014/}
}
TY - JOUR AU - Chupin, Laurent TI - The FENE viscoelastic model and thin film flows JO - Comptes Rendus. Mathématique PY - 2009 SP - 1041 EP - 1046 VL - 347 IS - 17-18 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2009.06.014/ DO - 10.1016/j.crma.2009.06.014 LA - en ID - CRMATH_2009__347_17-18_1041_0 ER -
%0 Journal Article %A Chupin, Laurent %T The FENE viscoelastic model and thin film flows %J Comptes Rendus. Mathématique %D 2009 %P 1041-1046 %V 347 %N 17-18 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2009.06.014/ %R 10.1016/j.crma.2009.06.014 %G en %F CRMATH_2009__347_17-18_1041_0
Chupin, Laurent. The FENE viscoelastic model and thin film flows. Comptes Rendus. Mathématique, Tome 347 (2009) no. 17-18, pp. 1041-1046. doi : 10.1016/j.crma.2009.06.014. http://www.numdam.org/articles/10.1016/j.crma.2009.06.014/
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