An Average Flow Model of the Reynolds Roughness Including a Mass-Flow Preserving Cavitation Model

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)

An average Reynolds equation for predicting the effects of deterministic periodic roughness, taking JFO mass flow preserving cavitation model into account, is introduced based upon double scale analysis approach. This average Reynolds equation can be used both for a microscopic interasperity cavitation and a macroscopic one. The validity of such a model is verified by numerical experiments both for one dimensional and two dimensional roughness patterns.

Domaines: Analyse numérique [math.NA]; Mécanique des fluides [physics.class-ph]

Guy Bayada, Sébastien Martin, Carlos Vazquez. An Average Flow Model of the Reynolds Roughness Including a Mass-Flow Preserving Cavitation Model. 2004. ⟨hal-00008082⟩