0
RESEARCH PAPERS

A Rapid Boundary-Element Method for Modeling Viscous Flow Within Asymptotically-Thin Gaps

[+] Author and Article Information
M. A. Kelmanson

Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, England

J. Tribol 120(4), 710-715 (Oct 01, 1998) (6 pages) doi:10.1115/1.2833769 History: Received April 28, 1997; Revised November 20, 1997; Online January 24, 2008

Abstract

A new boundary-element method is presented for the rapid and accurate solution of viscous-flow boundary-value problems in which the inherent geometry has a high aspect ratio, R ≫ 1, As such, the method is particularly suited to the investigation of steady flow within thin-gap bearings of arbitrary geometry, in which the spatial dimension in one direction is an order of magnitude greater than that in a perpendicular direction. Our theory predicts that the new method is O (R 2 ) times faster than, and requires O (R −1 ) the storage of, existing boundary-element techniques with equivalent computational mesh resolution. The new method is applied to the test problem of steady 2-D viscous flow within an exponential-profile slider bearing, and results obtained provide convincing evidence to support the theory in that, as R → ∞, the thin-film solution is recovered. The new method, which brings problems which were hitherto computationally restrictive within reach of modest computational platforms, is intended to provide the basis of a fast and accurate solver which can incorporate random surface roughness.

Copyright © 1998 by The American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

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