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    Efficient Solution to the Cavitation Problem in Hydrodynamic Lubrication

    Access Status
    Fulltext not available
    Authors
    Woloszynski, T.
    Podsiadlo, P.
    Stachowiak, Gwidon
    Date
    2015
    Type
    Journal Article
    
    Metadata
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    Citation
    Woloszynski, T. and Podsiadlo, P. and Stachowiak, G. 2015. Efficient Solution to the Cavitation Problem in Hydrodynamic Lubrication. Tribology Letters. 58 (1): Article ID 18.
    Source Title
    Tribology Letters
    DOI
    10.1007/s11249-015-0487-4
    ISSN
    1023-8883
    School
    Department of Mechanical Engineering
    URI
    http://hdl.handle.net/20.500.11937/30984
    Collection
    • Curtin Research Publications
    Abstract

    Hydrodynamic lubrication is present in the majority of machinery where load is transmitted between two contacting surfaces in relative motion. Cavitation in liquid lubricating films is common and directly affects the pressure distribution and subsequently the load-carrying capacity and friction force transmitted across the contact. By reformulating the Elrod-Adams implementation of the Jakobsson-Floberg-Olsson cavitation conditions, we developed an efficient algorithm, called Fischer-Burmeister-Newton-Schur (FBNS), for calculating the pressure distribution that combines two attractive properties. First, the system of discretized equations arising from the reformulation is continuously differentiable and unconstrained, thus allowing for the use of gradient-based methods to solve it. Second, the computational cost of solving the system is similar to that when cavitation is not considered. With the new algorithm, the transient analysis and optimisation of contacts with complex shapes becomes computationally feasible. A comparison of the FBNS with the established algorithms and an application to the transient analysis of a hydrodynamic contact with surface texturing are reported. The results show that the FBNS yields roughly two orders of magnitude reduction in computational time when compared against other algorithms.

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