# Research on Temperature Field Analysis Method of High-Speed Bearing Chamber-Bearing System
###### Abstract  
The analysis of the temperature field of a high-speed bearing chamber-bearing system is very complex. We used the temperature field analysis method on a 40,000 rpm bearing chamber-bearing system by simulation, which builds on the finite volume method and introduces a decoupling method that separates fluid dynamics from the thermal analysis of the solid temperature field. Firstly, according to bearing operating conditions, the characteristics of the oil-air two-phase distribution in the bearing chamber are determined using the Volume of Fluid (VOF) method. The convective heat transfer boundary conditions derived from this analysis serve as the thermal boundary conditions for the subsequent thermal analysis. Secondly, considering the heat generation of the bearings and the thermal boundary conditions, a temperature field analysis model is formulated. The calculated results are found to be in close agreement with the actual test data, with an error of less than 10% under three operational conditions. Thirdly, the presented method to evaluate the temperature field of the bearing chamber-bearing system has not been studied in other published literature. Additionally, compared with the thermal fluid-structure interaction method, the method described in this paper can save 90.75% of calculation time, which significantly improves efficiency. Therefore, the above method is reliable for evaluating the temperature field of the bearing chamber-bearing system. b +
Footnote †: journal: applied sciences  
primary heat sources within the bearing chamber and established calculation models for the friction heat generated by the bearing and the graphite seal, the heat leakage of the seal, the convective heat transfer coefficient, and the temperature field. They then utilized the thermal network method to establish the thermal balance equations for the bearing chamber. The calculated results were found to be largely consistent with experimental findings. [PERSON] et al. [3] employed a thermal network approach to estimate the temperatures at various points within an oil-injected lubricated thrust angular ball bearing. They considered the heat transfer characteristics during the mass transfer process of oil injection lubrication and investigated the effect of the oil percentage on the bearing temperature and heat flux density. Building upon the thermal network algorithm. [PERSON] [4] calculated the thermal conditions of an aero-engine bearing chamber using software based on the thermal network method, obtaining the oil outlet temperature and the heat generation of the bearing under three different conditions. Further calculations revealed the variation regularity of the oil outlet temperature and the heat generation of the bearing with respect to oil supply, rotational speed, and oil inlet temperature. [PERSON] [5] proposed an enhanced multi-node thermal network method that accounted for the thermal resistance of the oil film in the bearing during heat transfer and the contact thermal resistance based on Hertz contact theory. The results indicated that the error in predicting the oil outlet temperature using the thermal network method could be reduced to less than 7%. In contrast to the thermal network method, the finite element method eliminates the need for calculating thermal resistances and constructing heat transfer equations. As a result, it is a popular choice among researchers for conducting thermal analysis of bearing chambers. In 1998, [PERSON] et al. [6] performed a finite element thermal analysis of the spindle bearing system using ANSYS software 5.0A. Their study focused on the temperature rise process, the time to reach thermal equilibrium, and the temperature distribution in grease-lubricated bearings B7016C and B7020C. [PERSON] et al. [7] undertook a thermal analysis of an aero-engine bearing chamber by employing finite element analysis and a calculation program based on a 2D axisymmetric steady-state heat transfer model.