Mass-conserving cavitation model for dynamical lubrication problems. Part I: Mathematical analysis

Gustavo C. Buscaglia, Mohamed El Alaoui Talibi and Mohammed Jai

Mathematics and Computers in Simulation (MATCOM), 2015, vol. 118, issue C, 130-145

Abstract: In this paper we prove an existence result for a variety of rotor-bearing systems, namely journal bearing, piston ring–liner and mechanical seal systems. These results are shown for a fixed geometry for different boundary conditions. The mathematical model considered is the mass-conserving Elrod–Adams in presence of cavitation and in the unsteady case. Also a local existence of a dynamical problem is given.

Keywords: Lubrication; Dynamical system; Cavitation; Elrod and Adams’ model; Parabolic partial differential equation (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:118:y:2015:i:c:p:130-145

DOI: 10.1016/j.matcom.2014.11.026

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