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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Vydáno v:Computational mechanics Ročník 56; číslo 3; s. 421 - 441
Hlavní autoři: Kabacaoglu, G, Temizer, I
Médium: Journal Article
Jazyk:angličtina
Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2015
Springer
Témata:
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
Homogenization
Random roughness
Time-dependent Reynolds equation
Taylor assumption
Soft elastohydrodynamic lubrication
ISSN:0178-7675, 1432-0924
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Shrnutí: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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ISSN:0178-7675
1432-0924
DOI:10.1007/s00466-015-1179-5