0
Research Papers: Hydrodynamic Lubrication

A Mass-Conserving Algorithm for Dynamical Lubrication Problems With Cavitation

[+] Author and Article Information
Roberto F. Ausas

 Centro Atómico Bariloche and Instituto Balseiro, 8400 Bariloche, Argentinarfausas@gmail.com

Mohammed Jai

Mathématiques, INSA de Lyon, CNRS-UMR 5208, Batiment Leonard de Vinci, F-69621 Villeurbanne, Francemohammed.jai@insa-lyon.fr

Gustavo C. Buscaglia

ICMC, Universidade de São Paulo, 13560-970 São Carlos, São Paulo, Brazilgustavo.buscaglia@icmc.usp.br

J. Tribol 131(3), 031702 (Jun 02, 2009) (7 pages) doi:10.1115/1.3142903 History: Received September 03, 2008; Revised April 27, 2009; Published June 02, 2009

A numerical algorithm for fully dynamical lubrication problems based on the Elrod–Adams formulation of the Reynolds equation with mass-conserving boundary conditions is described. A simple but effective relaxation scheme is used to update the solution maintaining the complementarity conditions on the variables that represent the pressure and fluid fraction. The equations of motion are discretized in time using Newmark’s scheme, and the dynamical variables are updated within the same relaxation process just mentioned. The good behavior of the proposed algorithm is illustrated in two examples: an oscillatory squeeze flow (for which the exact solution is available) and a dynamically loaded journal bearing. This article is accompanied by the ready-to-compile source code with the implementation of the proposed algorithm.

FIGURES IN THIS ARTICLE
<>
Copyright © 2009 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

One dimensional system considered for the squeeze-flow example

Grahic Jump Location
Figure 2

(a) Film thickness H(t) used in the oscillatory squeeze flow example, (b) right cavitation boundary Σ(t) for the mass-conserving Elrod–Adams model, comparing the numerical result to the exact solution, and (c) same as Fig. 2 for the nonmass-conserving Reynolds model. Notice the detail in Figs.  22 showing the staircased shape of the numerical cavitation boundary.

Grahic Jump Location
Figure 3

Schematic representation of the journal bearing and the computational domain considered

Grahic Jump Location
Figure 6

Convergence study: evolution with time of the maximum value of the pressure

Grahic Jump Location
Figure 7

Convergence study: evolution with time of the eccentricity

Grahic Jump Location
Figure 5

Detail of the evolution with time of the applied loads WXa, WYa and load capacity WX and WY (changing its sign to ease the comparison with WXa and WYa

Grahic Jump Location
Figure 4

Evolution with time of the journal’s center, applied loads WXa, WYa and load capacity WX and WY (changing its sign to ease the comparison with WXa and WYa)

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