Formulation of the Reynolds equation on a time-dependent lubrication surface.
The Reynolds equation, which describes the lubrication effect arising through the interaction of two physical surfaces that are separated by a thin fluid film, is formulated with respect to a continuously evolving third surface that is described by a time-dependent curvilinear coordinate system. The proposed formulation essentially addresses lubrication mechanics at interfaces undergoing large deformations anda priorisatisfies all objectivity requirements, neither of which are features of the classical Reynolds equation. As such, this formulation may be particularly suitable for non-stationary elastohydrodynamic lubrication problems associated with soft interfaces. The ability of the formulation to capture finite-deformation effects and the influence of the choice of the third surface are illustrated through analytical examples.
Department of Mechanical Engineering , Bilkent University , 06800 Ankara, Turkey.
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0000-0003-3043-7521
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Temizer
Institute of Fundamental Technological Research (IPPT) , Polish Academy of Sciences , Pawińskiego 5B, 02-106 Warsaw, Poland.
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Stupkiewicz
Reynolds equation; elastohydrodynamic lubrication; finite deformations; objectivity; soft interfaces; time-dependent curvilinear coordinates