Formulation of the Reynolds equation on a time-dependent lubrication surface

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dc.citation.epage16en_US
dc.citation.issueNumber2187en_US
dc.citation.spage1en_US
dc.citation.volumeNumber472en_US
dc.contributor.authorTemizer, I.en_US
dc.contributor.authorStupkiewicz, S.en_US
dc.date.accessioned2018-04-12T10:44:20Z
dc.date.available2018-04-12T10:44:20Z
dc.date.issued2016en_US
dc.departmentDepartment of Mechanical Engineeringen_US
dc.description.abstractThe 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. © 2016 The Author(s).en_US
dc.description.provenanceMade available in DSpace on 2018-04-12T10:44:20Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 179475 bytes, checksum: ea0bedeb05ac9ccfb983c327e155f0c2 (MD5) Previous issue date: 2016en
dc.identifier.doi10.1098/rspa.2016.0032en_US
dc.identifier.issn1364-5021
dc.identifier.urihttp://hdl.handle.net/11693/36562
dc.language.isoEnglishen_US
dc.publisherRoyal Society of Londonen_US
dc.relation.isversionofhttp://dx.doi.org/10.1098/rspa.2016.0032en_US
dc.source.titleProceedings of the Royal Society A : Mathematical, Physical and Engineering Sciencesen_US
dc.subjectElastohydrodynamic lubricationen_US
dc.subjectFinite deformationsen_US
dc.subjectObjectivityen_US
dc.subjectReynolds equationen_US
dc.subjectSoft interfacesen_US
dc.subjectTime-dependent curvilinear coordinatesen_US
dc.subjectDeformationen_US
dc.subjectLubricationen_US
dc.titleFormulation of the Reynolds equation on a time-dependent lubrication surfaceen_US
dc.typeArticleen_US

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