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On the instantaneous formation of cavitation in hydrodynamic lubrication

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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


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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
Uncontrolled Keywords:lubrication; cavitation; Elrod-Adams model; Reynolds equation; free-boundary problems
Subjects:Sciences > Mathematics > Differential equations
ID Code:15356
Deposited On:24 May 2012 08:00
Last Modified:12 Dec 2018 15:07

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