Homogenization of soft interfaces in time-dependent hydrodynamic lubrication
The difficulty behind the unsteady lubrication problem is the oscillation of the film thickness in both position and time. The present study aims to extend the multiscale analysis of lubricated interfaces to the unsteady hydrodynamic lubrication case with deformable random microrough surfaces. For t...
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| Veröffentlicht in: | Computational mechanics Jg. 56; H. 3; S. 421 - 441 |
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01.09.2015
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| Abstract | The difficulty behind the unsteady lubrication problem is the oscillation of the film thickness in both position and time. The present study aims to extend the multiscale analysis of lubricated interfaces to the unsteady hydrodynamic lubrication case with deformable random microrough surfaces. For that purpose, the homogenization framework for the time-dependent problem is first presented in a setting that unifies all hydrodynamic lubrication cases. The differences between the periodic commensurate and incommensurate as well as random microrough surfaces are highlighted with numerical investigations. A time averaging method is proposed in order to deliver the effective macroscopic response and its efficacy is discussed for different types of microrough surfaces. Finally, the deformation is implemented through the numerically efficient Taylor assumption at the microscale and the ability of the proposed method to reflect the deformation effects is discussed. |
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| AbstractList | The difficulty behind the unsteady lubrication problem is the oscillation of the film thickness in both position and time. The present study aims to extend the multiscale analysis of lubricated interfaces to the unsteady hydrodynamic lubrication case with deformable random microrough surfaces. For that purpose, the homogenization framework for the time-dependent problem is first presented in a setting that unifies all hydrodynamic lubrication cases. The differences between the periodic commensurate and incommensurate as well as random microrough surfaces are highlighted with numerical investigations. A time averaging method is proposed in order to deliver the effective macroscopic response and its efficacy is discussed for different types of microrough surfaces. Finally, the deformation is implemented through the numerically efficient Taylor assumption at the microscale and the ability of the proposed method to reflect the deformation effects is discussed. |
| Audience | Academic |
| Author | Temizer, İ. Kabacaoğlu, G. |
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| CitedBy_id | crossref_primary_10_1002_nme_5546 crossref_primary_10_1002_nme_6129 crossref_primary_10_1002_nme_5256 crossref_primary_10_1016_j_camwa_2017_06_012 |
| Cites_doi | 10.1016/j.triboint.2011.04.007 10.1115/1.1506328 10.1115/1.3254641 10.1016/j.nonrwa.2005.07.007 10.1115/1.3453329 10.1007/s11249-013-0251-6 10.1080/05698196708972191 10.1039/c1sm05128h 10.1103/PhysRevLett.52.1798 10.1098/rspa.1978.0189 10.1243/13506501JET433 10.1016/0043-1648(95)06660-8 10.1016/j.triboint.2005.09.036 10.1115/1.1760554 10.1115/1.4004078 10.1016/j.ijengsci.2008.03.001 10.1119/1.1715107 10.1115/1.2920900 10.1007/s11249-012-9996-6 10.1016/j.ijengsci.2006.09.005 10.1243/095441105X69114 10.1115/1.555358 10.1016/j.triboint.2008.08.008 10.1016/j.triboint.2013.01.008 10.1039/c1sm05129f 10.1115/1.3453103 10.1016/j.triboint.2010.06.010 10.1098/rstl.1886.0005 10.1051/m2an/1995290201991 10.1016/j.triboint.2010.10.003 10.1023/A:1015772525610 10.1007/s00466-012-0709-7 10.1243/135065005X33982 10.1115/1.1792699 10.1115/1.2540156 10.1115/1.3451579 10.1115/1.3451862 10.1115/1.3453283 10.1201/9780203021187 10.1016/j.triboint.2010.09.011 10.1115/1.1828067 10.1051/m2an/1989230202051 10.1016/j.triboint.2006.03.003 10.1115/1.1402131 10.1016/j.ijengsci.2008.08.006 10.1016/j.triboint.2012.04.029 10.1016/j.triboint.2011.04.005 |
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| Keywords | Homogenization Random roughness Time-dependent Reynolds equation Taylor assumption Soft elastohydrodynamic lubrication |
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| References_xml | – reference: Essel EK (2008) Homogenization of Reynolds equations and of some parabolic problems via Rothe’s method. PhD thesis, Luleă University of Technology – reference: AlmqvistTLarssonRSome remarks on the validity of Reynolds equation in the modeling of lubricant film flows on the surface roughness scaleJ Tribol200412670370910.1115/1.1760554 – reference: PratMPlourabouéFLetalleurNAveraged Reynolds equation for flows between rough surfaces in sliding motionTransp Porous Media200248291313195155910.1023/A:1015772525610 – reference: KwehCCPatchingMJEvansHPSpindleRWSimulation of elastohydrodynamic contact between rough surfacesJ Tribol199211441241910.1115/1.2920900 – reference: GarciaNStollEMonte Carlo calculation for electromagnetic-wave scattering from random rough surfacesPhys Rev Lett198452201798180110.1103/PhysRevLett.52.1798 – reference: MaCZhuHAn optimum design model for textured surface with elliptical-shape dimples under hydrodynamic lubricationTribol Int20114498799510.1016/j.triboint.2011.04.005 – reference: PatirNChengHSApplication of average flow model to lubrication between rough sliding surfacesJ Lubr Technol Trans ASME197910122023010.1115/1.3453329 – reference: JaiMBou-SaidBA comparison of homogenization and averaging techniques for the treatment of roughness in slip-flow-modified Reynolds equationJ Tribol200212432733510.1115/1.1402131 – reference: Tala-IghilNFillonMMaspeyrotPEffect of textured area on the performance of a hydrodynamic journal bearingTribol Int20114421121910.1016/j.triboint.2010.10.003 – reference: BuscagliaGCJaiMHomogenization of the generalized Reynolds equationMec Comput2003224156 – reference: JinZDowsonDElastohydrodynamic lubrication in biological systemsProc Inst Mech Eng Part J200521936738010.1243/135065005X33982 – reference: TemizerIThermomechanical contact homogenization with random rough surfaces and microscopic contact resistanceTribol Int20114411412410.1016/j.triboint.2010.09.011 – reference: TaborDBowdenFPFriction and lubrication of solids, part I1950OxfordOxford University Press – reference: PatirNChengHSAn average flow model for 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| Snippet | The difficulty behind the unsteady lubrication problem is the oscillation of the film thickness in both position and time. The present study aims to extend the... |
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| SubjectTerms | Classical and Continuum Physics Computational fluid dynamics Computational Science and Engineering Deformation Engineering Fluid flow Homogenizing Hydrodynamics Lubrication Mathematical models Original Paper Theoretical and Applied Mechanics Unsteady |
| Title | Homogenization of soft interfaces in time-dependent hydrodynamic lubrication |
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