The FENE Model for Viscoelastic Thin Film Flows
Chupin, Laurent
Methods Appl. Anal., Tome 16 (2009) no. 1, p. 217-262 / Harvested from Project Euclid
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In this article, we are interested in the behavior of the FENE (Finitely Extensible Non-Linear Elastic), a constitutive relation within an almost shear flow. As this relation results from a microscopic analysis of the polymer chains, the study presented here is based on new results from the Fokker-Planck equation. Thin flows are generally considered like almost one-dimensional flows and almost shear flows. The study of the FENE model makes it possible to understand which could be the dominant terms in the equations coupling this rheology (the FENE model) and the hydrodynamic (via the conservation equations). Some possible examples of applications are given at the end of this article, for example, in the field of lubrication, the phenomena of boundary layers, the industry of the nanotechnology, biology or Shallow-Water equations.
Publié le : 2009-06-15
Classification:  degenerate elliptic equation,  non-coercive elliptic equation,  Fokker-Planck equation,  long time behavior,  viscoelastic fluid,  FENE model,  boundary layer,  microfluidic,  thin films,  lubrication,  35J70,  35K10,  35K55,  35Q35,  74D10,  74H40,  76A05,  76A10,  76A20,  76D08,  76N20,  78M35 
@article{1257170936,
     author = {Chupin, Laurent},
     title = {The FENE Model for Viscoelastic Thin Film Flows},
     journal = {Methods Appl. Anal.},
     volume = {16},
     number = {1},
     year = {2009},
     pages = { 217-262},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1257170936}
}

Chupin, Laurent. The FENE Model for Viscoelastic Thin Film Flows. Methods Appl. Anal., Tome 16 (2009) no. 1, pp.  217-262. http://gdmltest.u-ga.fr/item/1257170936/