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| HAL: hal-00090870, version 1 |
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| On the instantaneous formation of cavitation in hydrodynamic lubrication |
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| Jesus Ildefonso Diaz 1Sébastien Martin 2 |
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| (2006-09-04) |
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| 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. |
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| 1: | Univ. Complutense de Madrid / Dept. Matematica Aplicada |
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Univ. Complutense de Madrid / Dept. Matematica Aplicada |
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| 2: | Institut Camille Jordan (ICJ) |
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CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon |
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| Subject | : | Mathematics/Analysis of PDEs |
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| Reynolds – cavitation – subsolution – supersolution – relaxation time. |
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| Attached file list to this document: | ||||||||||
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| hal-00090870, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00090870 | |
| oai:hal.archives-ouvertes.fr:hal-00090870 | |
| From: Sébastien Martin | |
| Submitted on: Monday, 4 September 2006 11:19:09 | |
| Updated on: Monday, 4 September 2006 11:34:16 | |
