A new cavitation model in lubrication: The case of two-zone cavitation - Institut Camille Jordan Accéder directement au contenu
Article Dans Une Revue Journal of Engineering Mathematics Année : 2013

A new cavitation model in lubrication: The case of two-zone cavitation

Résumé

A generalization of the Elrod-Adams model of cavitation in lubricated devices is proposed, such that the translation velocity V for the saturation field θ can be given any value between S/2 and S, with S being the relative speed of the surfaces. The lack of uniqueness of the classical model when V≠S/2 is explained and a suitable supplementary condition is proposed to fix this issue. The new model is rigorously analyzed, though in the simplified mathematical setting of a one-dimensional problem with a single pressurized region. The main result states the existence of a unique solution globally in time, unless of course the cavitation boundary leaves the domain or disappears. A few preliminary numerical examples are included to illustrate the model.

Dates et versions

hal-00866774 , version 1 (27-09-2013)

Identifiants

Citer

Gustavo Buscaglia, Ionel Ciuperca, Eric Dalissier, Mohammed Jai. A new cavitation model in lubrication: The case of two-zone cavitation. Journal of Engineering Mathematics, 2013, 83 (1), pp.57-79. ⟨10.1007/s10665-013-9629-6⟩. ⟨hal-00866774⟩
160 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More