0
Research Papers: Hydrodynamic Lubrication

Similarities and Differences Between the Flow Factor Method by Patir and Cheng and Homogenization

[+] Author and Article Information
Andreas Almqvist

Division of Machine Elements,  Luleå University of Technology, Luleå 971 87, Sweden e-mail: andreas.almqvist@ltu.se

John Fabricius

Department of Mathematics,  Luleå University of Technology, Luleå 971 87, Sweden e-mail: john.fabricius@ltu.se

Andrew Spencer

Division of Machine Elements,  Luleå University of Technology, Luleå 971 87, Sweden e-mail: andrew.spencer@ltu.se

Peter Wall

Department of Mathematics,  Luleå University of Technology, Luleå 971 87, Sweden e-mail: peter.wall@ltu.se

J. Tribol 133(3), 031702 (Jul 28, 2011) (5 pages) doi:10.1115/1.4004078 History: Received November 21, 2010; Revised March 19, 2011; Published July 28, 2011; Online July 28, 2011

Different averaging techniques have proved to be useful for analyzing the effects of surface roughness in hydrodynamic lubrication. This paper compares two of these averaging techniques, namely the flow factor method by Patir and Cheng (P&C) and homogenization. It has been rigorously proved by many authors that the homogenization method provides a correct solution for arbitrary roughness. In this work it is shown that the two methods coincide if and only if the roughness exhibits certain symmetries. Hence, homogenization is always the preferred method.

FIGURES IN THIS ARTICLE
<>
Copyright © 2011 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Streamlines computed from the solution to the local problem in Eq. (12b) in the P&C method. The contour map depicts the film thickness for a perfectly periodic artificial surface roughness patch. Red for thinner and blue for thicker film. Arrows visualize fluid velocity.

Grahic Jump Location
Figure 2

Streamlines computed from the solution to the local problem in Eq. (17a) in the homogenization method. The contour map depicts the film thickness for a perfectly periodic artificial surface roughness patch. Red for thinner and blue for thicker film. Arrows visualize fluid velocity.

Grahic Jump Location
Figure 3

The contour map depicts the film thickness for a periodic and symmetric surface roughness patch. Red for thinner and blue for thicker film. Streamlines obtained from Eqs. (12b) and (17a) coincide. Arrows visualize fluid velocity.

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In