Abstract
As for high-pressure aerostatic thrust bearing, the notable increase of air supply pressure makes gas film pressure and flow velocity increase rapidly. The two assumptions of fully developed laminar boundary layer and isothermal flow in parallel gas film are no longer valid, which are generally considered suitable for aerostatic thrust bearing with low air supply pressure. Based on the coupling analysis of the air flow field in the channel clearance of the bearing and the conjugate heat transfer of the bearing discs, the development process and flow regime of the velocity boundary layer and the temperature boundary layer in the parallel gas film are investigated. The results of conjugate heat transfer analysis for bearing discs made of various materials show that, isotropic thermal conductivity is the main factor affecting the heat flux, temperature distribution on the interface between solid wall and high-speed airflow in the channel clearance, and the temperature gradient inside the bearing discs. Further research on the relationship between the net thermal deformation, net elastic deformation caused by gas film pressure as well as total deformations of the bearing discs and the material properties shows that, the coefficient of thermal expansion is a crucial parameter affecting the net thermal deformation, but the total deformations of bearing discs also depend on the pressure load exerted by gas film. In the range of the working conditions specified in this study, structural steel is a more suitable choice than stainless steel or invar. Consequently, this research provides meaningful guidance for the designs of high-pressure aerostatic thrust bearings.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Abbreviations
- k :
-
Turbulent kinetic energy
- K :
-
Kelvin temperature scale
- K :
-
Thermal conductivity of air
- K s :
-
Thermal conductivity of the solid material
- K eff :
-
Effective thermal conductivity
- μ :
-
Molecular viscosity
- μ ⋆ :
-
Viscosity coefficient at reference temperature
- μ t :
-
Turbulent eddy-viscosity
- T :
-
Temperature
- T ⋆ :
-
Reference temperature in sutherland equation
- T 0 :
-
Absolute reference temperature
- S :
-
Average rate coefficient of strain tensor
- S 0 :
-
Sutherland constant
- S h :
-
Volumetric heat source
- S e :
-
Entropy density
References
K. Sim, Y. B. Lee, J. W. Song and T. H. Kim, Effect of cooling flow on thermal performance of a gas foil bearing floating on a hot rotor, Journal of Mechanical Science and Technology, 32(5) (2018) 1939–1954.
S. Ohishi and Y. Matsuzaki, Experimental investigation of air spindle unit thermal characteristics, Precision Engineering, 26 (2002) 49–57.
D. J. Han, C. L. Tang, L. Hao and J. F. Yang, Experimental studies on the effects of bearing supply gas pressure on the response of a permanent magnet disk-type motor rotor, Journal of Mechanical Science and Technology, 30(11) (2016) 4887–4892.
Q. Gao, L. H. Lu, R. Zhang, L. Y. Song, D. H. Huo and G. L. Wang, Investigation on the thermal behavior of an aerostatic spindle system considering multi-physics coupling effect, International J. of Advanced Manufacturing Technology, 102 (2019) 3813–3823.
K. Sim, Y. B. Lee, S. M. Jang and T. H. Kim, Thermal analysis of high-speed permanent magnet motor with cooling flows supported on gas foil bearings: part II-bearing modeling and case studies, Journal of Mechanical Science and Technology, 29(12) (2015) 5477–5483.
F. Xu and L. B. Guo, Design theory of the contraction cone of circular thrust gas bearings in high supply pressure, Machinery Design and Manufacture, 54(7) (2017) 30–32 (in Chinese).
J. S. Li and P. K. Liu, Dynamic analysis of 5-DOFs aerostatic spindles considering tilting motion with varying stiffness and damping of thrust bearings, Journal of Mechanical Science and Technology, 33(11) (2019) 5199–5207.
Q. Li, S. Zhang, L. Ma, W. W. Xu and S. Y. Zheng, Stiffness and damping coefficients for journal bearing using the 3D transient flow calculation, Journal of Mechanical Science and Technology, 31(5) (2017) 2083–2091.
A. Afzal, A. Samee and R. Razak, Steady and transient state analyses on conjugate laminar forced convection heat transfer, Archives of Computational Methods in Engineering, 27 (2020) 135–170.
D. Konar, M. Sultan and S. Roy, Numerical analysis of 2-D laminar natural convection heat transfer from solid horizontal cylinders with longitudinal fins, International Journal of Thermal Sciences, 154 (2020) 1–13.
X. Wang, H. Z. Xu and J. H. Wang, Multi-objective optimization of discrete film hole arrangement on a high pressure turbine end-wall with conjugate heat transfer simulations, International Journal of Heat and Fluid Flow, 78 (2019) 1–13.
A. S. Dorfman, Applications of Mathematical Heat Transfer and Fluid Models in Engineering and Medicine, John Wiley & Sons Publishing Company, New York, USA (2017).
M. C. Murty, P. Manna and D. Chakraborty, Conjugate heat transfer analysis in high speed flows, Proc. Inst. Mech. Eng. G J. Aerosp. Eng., 227(10) (2013) 1672–1681.
K. Marimuthu, K. Umanath and S. J. Krishnan, Investigating the conjugate heat transfer phenomena on various ducts for aircraft environmental control system, Materials Today: Proceedings, 46 (2021) 3631–3638.
M. E. Eleshaky, CFD investigation of pressure depressions in aerostatic circular thrust bearings, Tribology International, 42 (2009) 1108–1117.
Ansys Inc., Ansys Fluent Theory Guide, Ansys 2020R2, Ansys Inc., USA (2020).
W. A. Gross, L. A. Matsch and V. Castelli, Fluid Film Lubrication, John Wiley & Sons Publishing Company, New York, USA (1980).
Ansys Inc., Ansys Mechanical APDL Theory Reference, Ansys 2020R2, Ansys Inc., USA (2020).
Acknowledgments
This work is supported by the National Natural Science Foundation of China (Grant No. 51475341).
Author information
Authors and Affiliations
Corresponding author
Additional information
Liangbin Guo received M.Eng. from Wuhan University of Science and Technology, Wuhan, China in 2000 and Ph.D. degrees from Harbin Institute of Technology, Harbin, China in 2005. He is currently a Professor with School of Machinery and Automation, Wuhan University of Science and Technology, Wuhan, China. His current research interests include design of high-pressure aerostatic and fluid-thermo-structural coupling investigations of it.
Rights and permissions
About this article
Cite this article
Guo, L., Chen, S. Study on thermal deformation of high-pressure aerostatic thrust bearing in uneven temperature field. J Mech Sci Technol 37, 3281–3293 (2023). https://doi.org/10.1007/s12206-023-2207-6
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12206-023-2207-6