Dynamics of a small gap gas lubricated bearing with Navier slip boundary conditions
A gas lubricated bearing model is derived which is appropriate for a very small bearing face separation by including velocity slip boundary conditions and centrifugal inertia effects. The bearing dynamics are examined when an external harmonic force is imposed on the bearing due to bearing begin sit...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Published: |
Cambridge University Press
2017
|
| Online Access: | https://eprints.nottingham.ac.uk/41095/ |
| _version_ | 1848796194930688000 |
|---|---|
| author | Bailey, N.Y. Hibberd, Stephen Power, H. |
| author_facet | Bailey, N.Y. Hibberd, Stephen Power, H. |
| author_sort | Bailey, N.Y. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | A gas lubricated bearing model is derived which is appropriate for a very small bearing face separation by including velocity slip boundary conditions and centrifugal inertia effects. The bearing dynamics are examined when an external harmonic force is imposed on the bearing due to bearing begin situated within a larger complex dynamical system. A compressible Reynolds equation is formulated for the gas film which is coupled to the bearing structure through an axial force balance where the rotor and stator correspond to spring-mass-damper systems. Surface slip boundary conditions are derived on the bearing faces, characterised by the slip length parameter. The coupled bearing system is analysed using a stroboscopic map solver with the modified Reynolds equation and structural equations solved simultaneously. For a sufficiently large forcing amplitude a apping motion of the bearing faces is induced when the rotor and stator are in close proximity. The minimum bearing gap over the time period of the external forcing is examined for a range of bearing parameters. |
| first_indexed | 2025-11-14T19:44:07Z |
| format | Article |
| id | nottingham-41095 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:44:07Z |
| publishDate | 2017 |
| publisher | Cambridge University Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-410952020-05-04T18:39:24Z https://eprints.nottingham.ac.uk/41095/ Dynamics of a small gap gas lubricated bearing with Navier slip boundary conditions Bailey, N.Y. Hibberd, Stephen Power, H. A gas lubricated bearing model is derived which is appropriate for a very small bearing face separation by including velocity slip boundary conditions and centrifugal inertia effects. The bearing dynamics are examined when an external harmonic force is imposed on the bearing due to bearing begin situated within a larger complex dynamical system. A compressible Reynolds equation is formulated for the gas film which is coupled to the bearing structure through an axial force balance where the rotor and stator correspond to spring-mass-damper systems. Surface slip boundary conditions are derived on the bearing faces, characterised by the slip length parameter. The coupled bearing system is analysed using a stroboscopic map solver with the modified Reynolds equation and structural equations solved simultaneously. For a sufficiently large forcing amplitude a apping motion of the bearing faces is induced when the rotor and stator are in close proximity. The minimum bearing gap over the time period of the external forcing is examined for a range of bearing parameters. Cambridge University Press 2017-03-28 Article PeerReviewed Bailey, N.Y., Hibberd, Stephen and Power, H. (2017) Dynamics of a small gap gas lubricated bearing with Navier slip boundary conditions. Journal of Fluid Mechanics, 818 . pp. 68-99. ISSN 1469-7645 https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/dynamics-of-a-small-gap-gas-lubricated-bearing-with-navier-slip-boundary-conditions/5132AED92CA4F75D37D7096BA161E2BF doi:10.1017/jfm.2017.142 doi:10.1017/jfm.2017.142 |
| spellingShingle | Bailey, N.Y. Hibberd, Stephen Power, H. Dynamics of a small gap gas lubricated bearing with Navier slip boundary conditions |
| title | Dynamics of a small gap gas lubricated bearing with Navier slip boundary conditions |
| title_full | Dynamics of a small gap gas lubricated bearing with Navier slip boundary conditions |
| title_fullStr | Dynamics of a small gap gas lubricated bearing with Navier slip boundary conditions |
| title_full_unstemmed | Dynamics of a small gap gas lubricated bearing with Navier slip boundary conditions |
| title_short | Dynamics of a small gap gas lubricated bearing with Navier slip boundary conditions |
| title_sort | dynamics of a small gap gas lubricated bearing with navier slip boundary conditions |
| url | https://eprints.nottingham.ac.uk/41095/ https://eprints.nottingham.ac.uk/41095/ https://eprints.nottingham.ac.uk/41095/ |