On the instantaneous formation of cavitation in hydrodynamic lubrication

Jesus Ildefonso Diaz (1) , Sébastien Martin (2)

1 Departamento de Matematica Aplicada [Madrid]
2 ICJ - Institut Camille Jordan

We consider the Elrod-Adams model extending the classical lubrication Reynold equation to the case of the possible presence of a cavitation region. We show that the behaviour of the pressure and saturation depends crucially of the behaviour of the separation $h(t,x,y)$ among the two surfaces. In particular, we exhibit some simple formulations for which we prove (rigorously) that a cavitation region is formed instantaneously (even for initially saturated flows). Some numerical experiences are also given.

Mots clés: Reynolds; cavitation; subsolution; supersolution; relaxation time.; relaxation time

Domaines: Equations aux dérivées partielles [math.AP]

Jesus Ildefonso Diaz, Sébastien Martin. On the instantaneous formation of cavitation in hydrodynamic lubrication. 2006. ⟨hal-00090870⟩