Partner: İlker Temizer

Bilkent University (TR)

Ostatnie publikacje
1.Temizer I., Stupkiewicz S., Formulation of the Reynolds equation on a time-dependent lubrication surface, PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, ISSN: 1364-5021, DOI: 10.1098/rspa.2016.0032, Vol.472, pp.20160032-1-16, 2016


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 and a priori satisfies 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.

Słowa kluczowe:

Reynolds equation, elastohydrodynamic lubrication, soft interfaces, time-dependent curvilinear coordinates, finite deformations, objectivity

Afiliacje autorów:

Temizer I.-Bilkent University (TR)
Stupkiewicz S.-IPPT PAN