About a generalized Buckley-Leverett equation and lubrication multifluid flow

Guy Bayada (1, 2, 3) , Sébastien Martin (1) , Carlos Vazquez (4)

1 ICJ - Institut Camille Jordan
2 LaMCoS - Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne]
3 TMI - Tribologie et Mécanique des Interfaces
4 DEP. MATEMATICAS (UNIVERSIDADE A CORUÑA) - Dep. Matematicas (Universidade A Coruña)

In this paper, we analyse the asymptotic system corresponding to a thin film flow with two different fluids, from theoretical and numerical point of view. We also compare this model to the Elrod-Adams one, which allows to consider cavitation phenomena in lubrication theory.

Mots clés: bifluid; boundary conditions; shear effects; cavitation

Domaines: Analyse numérique [math.NA]; Equations aux dérivées partielles [math.AP]

Guy Bayada, Sébastien Martin, Carlos Vazquez. About a generalized Buckley-Leverett equation and lubrication multifluid flow. 2007. ⟨hal-00008356v2⟩