Finite-volume solution of the compressible Reynolds equation: Linear and non-linear analysis of gas bearings

Abstract The present work deals with several aspects of the finite-volume numerical solution of the Reynolds equation for a compressible fluid. First, the upwind procedure used for stabilizing the solution is given a new interpretation. It is shown next how film thickness discontinuities can be hand...

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Bibliographic Details
Published in:Proceedings of the Institution of Mechanical Engineers. Part J, Journal of engineering tribology Journal of engineering tribology, 2006-11, Vol.220 (7), p.617-627
Main Authors: Arghir, M, Lez, S Le, Frene, J
Format: Article
Language:English
Subjects:
Compressibility
Compressible fluids
Dynamic characteristics
Film thickness
Gas bearings
Linear analysis
Mechanical engineering
Nonlinear analysis
Reynolds equation
Unstructured grids (mathematics)
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Summary:Abstract The present work deals with several aspects of the finite-volume numerical solution of the Reynolds equation for a compressible fluid. First, the upwind procedure used for stabilizing the solution is given a new interpretation. It is shown next how film thickness discontinuities can be handled in a mathematically correct way and finally, the finite-volume numerical solution is presented for unstructured grids. After validating these numerical aspects, the static and dynamic characteristics of cylindrical hydrodynamic and externally pressurized hybrid gas bearings are presented. The dynamic coefficients are obtained by using both a small perturbation and a non-linear approach.
ISSN:1350-6501
2041-305X
DOI:10.1243/13506501JET161