This work relates to previous studies concerning the asymptotic behavior of Stokes flow in a narrow gap between two surfaces in relative motion. It is assumed that one of the surfaces is rough, with small roughness wavelength μ, so that the film thickness h becomes rapidly oscillating. Depending on the limit of the ratio h/μ, denoted as λ, three different lubrication regimes exist: Reynolds roughness (λ = 0), Stokes roughness (0 < λ < ∞), and high-frequency roughness (λ = ∞). In each regime, the pressure field is governed by a generalized Reynolds equation, whose coefficients (so-called flow factors) depend on λ. To investigate the accuracy and applicability of the limit regimes, we compute the Stokes flow factors for various roughness patterns by varying the parameter λ. The results show that there are realistic surface textures for which the Reynolds roughness is not accurate and the Stokes roughness must be used instead.
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September 2017
Research-Article
A Comparison of the Roughness Regimes in Hydrodynamic Lubrication
John Fabricius,
John Fabricius
Department of Engineering Sciences
and Mathematics,
Luleå University of Technology,
Luleå SE-971 87, Sweden
and Mathematics,
Luleå University of Technology,
Luleå SE-971 87, Sweden
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Afonso Tsandzana,
Afonso Tsandzana
Department of Engineering Sciences
and Mathematics,
Luleå University of Technology,
Luleå SE-971 87, Sweden
and Mathematics,
Luleå University of Technology,
Luleå SE-971 87, Sweden
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Francesc Perez-Rafols,
Francesc Perez-Rafols
Department of Applied Physics and
Mechanical Engineering,
Luleå University of Technology,
Luleå SE-971 87, Sweden
Mechanical Engineering,
Luleå University of Technology,
Luleå SE-971 87, Sweden
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Peter Wall
Peter Wall
Department of Engineering Sciences
and Mathematics,
Luleå University of Technology,
Luleå SE-971 87, Sweden
and Mathematics,
Luleå University of Technology,
Luleå SE-971 87, Sweden
Search for other works by this author on:
John Fabricius
Department of Engineering Sciences
and Mathematics,
Luleå University of Technology,
Luleå SE-971 87, Sweden
and Mathematics,
Luleå University of Technology,
Luleå SE-971 87, Sweden
Afonso Tsandzana
Department of Engineering Sciences
and Mathematics,
Luleå University of Technology,
Luleå SE-971 87, Sweden
and Mathematics,
Luleå University of Technology,
Luleå SE-971 87, Sweden
Francesc Perez-Rafols
Department of Applied Physics and
Mechanical Engineering,
Luleå University of Technology,
Luleå SE-971 87, Sweden
Mechanical Engineering,
Luleå University of Technology,
Luleå SE-971 87, Sweden
Peter Wall
Department of Engineering Sciences
and Mathematics,
Luleå University of Technology,
Luleå SE-971 87, Sweden
and Mathematics,
Luleå University of Technology,
Luleå SE-971 87, Sweden
Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received March 15, 2016; final manuscript received January 26, 2017; published online May 17, 2017. Assoc. Editor: Mihai Arghir.
J. Tribol. Sep 2017, 139(5): 051702 (10 pages)
Published Online: May 17, 2017
Article history
Received:
March 15, 2016
Revised:
January 26, 2017
Citation
Fabricius, J., Tsandzana, A., Perez-Rafols, F., and Wall, P. (May 17, 2017). "A Comparison of the Roughness Regimes in Hydrodynamic Lubrication." ASME. J. Tribol. September 2017; 139(5): 051702. https://doi.org/10.1115/1.4035868
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