Viscoelastic fluids in a thin domain

Guy Bayada (1, 2, 3) , Laurent Chupin (1) , Sébastien Martin (1)

1 ICJ - Institut Camille Jordan
2 LaMCoS - Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne]
3 TMI - Tribologie et Mécanique des Interfaces

The present paper deals with viscoelastic flows in a thin domain. In particular, we derive and analyse the asymptotic equations of the Stokes-Oldroyd system in thin films (including shear effects). We present a numerical method which solves the corresponding problem and present some related numerical tests which evidence the effects of the elastic contribution on the flow.

Mots clés: thin films; complex fluids; Stokes-Oldroyd; viscoelastic

Domaines: Analyse numérique [math.NA]

Guy Bayada, Laurent Chupin, Sébastien Martin. Viscoelastic fluids in a thin domain. 2007. ⟨hal-00016699v4⟩