Rheodynamic Lubrication of a Rectangular Squeeze Film Bearing with an Exponential Curvature Variation using Bingham Lubricants

The present work deals with analyses of the effects of bearing curvature and non-Newtonian characteristics on the load capacity of an exponential rectangular squeeze film bearing using Bingham fluids as lubricants. Bingham fluids are characterized by an yield value and hence the formation of a “rigid" core in the region between the plates is justified. The flow is confined to the region between the core and the plates. The shape of the core has been identified through numerical means. Further, numerical solutions for the pressure distribution and load carrying capacity of the bearing for various values of Bingham number and curvature parameter have been obtained. The effects of bearing curvature and non-Newtonian characteristics of the lubricant on the bearing performances have been discussed.

Authors:

• K. P. Vishwanath
• A. Kandasamy

Keywords:

• rheodynamic lubrication
• yield stress
• non-Newtonianfluid
• Bingham fluid
• exponential squeeze film.

References:

[1] M. J. Adams, I. Aydin, B. J. Briscoe, S. K. Sinha, A finite element analysis of the squeeze flow of an elasto-viscoplastic paste material,
J. Non-Newton. Fluid Mech. 1997, 71, 41-57.
[2] A. Kandasamy, Effects of fluid inertia forces in rheodynamic lubrication
of a rectangular squeeze film bearing, Proceedings of the Japan
International Tribology Conference, Nagoya. 1990, 131, 313-318.
[3] A. Cameron, Basic Lubrication Theory, 2nd ed. New York, USA:
John Wiley & Sons Inc., 1976.
[4] G. H. Covey, and B. R. Stanmore, Use of parallel-plate plastomer for the
characterization of viscous study with a yield stress, J. Non-Newton.
Fluid Mech. 1981, 8, 249-260.
[5] D. K. Gartling, and N. Phan-Thien, A numerical simulation of a plastic
flow fluid in a parallel plate plastomer, J. Non-Newton. Fluid Mech.
1984, 14, 347-360.
[6] D. C. Huang, B. C. Liu, T. Q. Jiang, An analytical solution of radial flow
of a Bingham fluid between two fixed circular disks, J. Non-Newton.
Fluid Mech. 1987, 26, 143-148.
[7] E. J. O-Donovan, R. I. Tanner, Numerical study of the Bingham Squeeze
film problem, J. Non-Newton. Fluid Mech. 1984, 15, 75-83.
[8] K. P. Vishwanath and A. Kandasamy, Rheodynamic Lubrication of a
Rectangular Squeeze Film Bearing with Inertial Effects using Herschel-
Bulkley Lubricants, Proceedings of International Conference on
Mathematical Sciences 2008, Al-Ain, Dubai.