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Journal of Engineering Mathematics

Erschienen in:

01.12.2013

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

verfasst von: Gustavo C. Buscaglia, Ionel Ciuperca, Eric Dalissier, Mohammed Jai

Erschienen in: Journal of Engineering Mathematics | Ausgabe 1/2013

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Abstract

A generalization of the Elrod–Adams model of cavitation in lubricated devices is proposed, such that the translation velocity \(V\) for the saturation field \(\theta \) 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 \(V\ne S/2\) 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.

Vorheriger Artikel On thin film flow in hydrodynamic bearings with a radial step at finite Reynolds number

Nächster Artikel A two-dimensional model of the pressing section of a paper machine including dynamic capillary effects

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Titel: A new cavitation model in lubrication: the case of two-zone cavitation
verfasst von: Gustavo C. Buscaglia
Ionel Ciuperca
Eric Dalissier
Mohammed Jai
Publikationsdatum: 01.12.2013
Verlag: Springer Netherlands
Erschienen in: Journal of Engineering Mathematics / Ausgabe 1/2013
Print ISSN: 0022-0833
Elektronische ISSN: 1573-2703
DOI: https://doi.org/10.1007/s10665-013-9629-6

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