### Impacto

Díaz Díaz, Jesús Ildefonso and Martin, Sébastien
(2006)
*On the instantaneous formation of cavitation in hydrodynamic lubrication.*
Comptes rendus. Mécanique, 334
(11).
pp. 645-650.
ISSN 1631-0721

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Official URL: http://www.sciencedirect.com/science/article/pii/S1631072106001458

## Abstract

We consider the Elrod-Adams model extending the classical lubrication Reynolds equation to the case of the possible presence of a cavitation region. We show that the behaviour of the pressure and saturation depends crucially on 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.

Item Type: | Article |
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Uncontrolled Keywords: | lubrication; cavitation; Elrod-Adams model; Reynolds equation; free-boundary problems |

Subjects: | Sciences > Mathematics > Differential equations |

ID Code: | 15356 |

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Deposited On: | 24 May 2012 08:00 |

Last Modified: | 06 Feb 2014 10:22 |

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