Dynamics of a parallel, high-speed, lubricated thrust bearing with Navier slip boundary conditions

An incompressible fluid flow model for a thin-film thrust bearing with slip flow is derived, leading to a modified Reynolds equation for a highly rotating rotor that incorporates a slip length shear condition on the bearing faces, extending previous bearing studies for new bearing applications assoc...

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Bibliographic Details
Published in:IMA journal of applied mathematics 2015-10, Vol.80 (5), p.1409-1430
Main Authors: Bailey, N.Y., Cliffe, K.A., Hibberd, S., Power, H.
Format: Article
Language:English
Subjects:
Bearing
Contact
Film thickness
Fluid flow
Mathematical analysis
Mathematical models
Rotors
Slip
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Summary:An incompressible fluid flow model for a thin-film thrust bearing with slip flow is derived, leading to a modified Reynolds equation for a highly rotating rotor that incorporates a slip length shear condition on the bearing faces, extending previous bearing studies for new bearing applications associated with decreasing film thickness. Mathematical and numerical modelling is applied to the coupled process of the pressurized fluid flow through the bearing, with a Navier slip condition replacing a no-slip condition, and the axial motion of the rotor and stator. The derived modified Reynolds equation is coupled with the dynamic motion of the stator through the pressure exerted by the fluid film, with explicit analytical expressions for the pressure and force determined and the equation for the bearing gap reduced to a non-linear second-order non-autonomous ordinary differential equation. A mapping solver is used to investigate the time-dependent bearing gap for prescribed periodic motion of the rotor. A parametric study focuses on bearing operation under close contact motion to examine the minimum film thickness and possibility of bearing face contact.
ISSN:0272-4960
1464-3634
DOI:10.1093/imamat/hxu053