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      • Department of Mechanical Engineering
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      Homogenization of soft interfaces in time-dependent hydrodynamic lubrication

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      Author
      Kabacaoğlu, G.
      Temizer, İ.
      Date
      2015
      Source Title
      Computational Mechanics
      Print ISSN
      0178-7675
      Publisher
      Springer Verlag
      Volume
      56
      Issue
      3
      Pages
      421 - 441
      Language
      English
      Type
      Article
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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. © 2015, Springer-Verlag Berlin Heidelberg.
      Keywords
      Homogenization
      Random roughness
      Soft elastohydrodynamic lubrication
      Taylor assumption
      Time-dependent Reynolds equation
      Deformation
      Fluid dynamics
      Permalink
      http://hdl.handle.net/11693/21048
      Published Version (Please cite this version)
      http://dx.doi.org/10.1007/s00466-015-1179-5
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