采用二维贝叶斯方法求解旋转盘腔导热反问题

In order to study the heat transfer characteristics of compressor rotating disc cavity, and calculate the surface heat transfer coefficient on rotating disc accurately, a two-dimensional Bayesian method was introduced. Using prior distribution to optimize temperature measurement error, this method agreed well with the two-dimensional characteristics of rotating disc. Using simulation data with noise to verify the feasibility of method, the results showed that the average error without temperature measurement error was 3.2% and the average error with temperature measurement error was 10.6%. The error source was analyzed too. By comparing with existing experimental data, results showed that the method was more suitable for calculating surface heat transfer coefficient when the windward and leeward surfaces had a large difference in heat transfer. The average relative error was 9.6%, meeting actual engineering accuracy requirements. By changing the number of temperature measurement points on disc surface, it was found that the increase in measurement points could improve calculation accuracy, and the statistical sampling theory was used to analyze the phenomenon. It was found that when the acceptable error was 10%, the number of measuring points required was reasonable.