Modeling method for overall cooling effectiveness of turbine blades
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摘要:
针对涡轮转子叶片综合冷效试验在静止条件下开展，与发动机真实旋转工况存在差异而导致综合冷效试验结果无法准确反映真实工况下叶片冷却性能的问题，提出了一种适合于涡轮转子叶片综合冷效试验结果的模化方法。通过开展理论推导及敏感性分析，获得了旋转等多因素对转子叶片综合冷效的影响规律。分析认为影响涡轮转子叶片综合冷效的各个参数中，流量比影响最大，主流雷诺数与折合转速其次，温比对综合冷效影响最低。建立了涡轮转子叶片综合冷效试验结果向真实发动机旋转工况下的模化关联式，相较于传统的未考虑旋转影响的模化方法，所形成的模化方法对涡轮转子叶片综合冷效预测精度提升50%以上，最终平均误差为3%，最大误差为6%。
Abstract:Considering the problem that the comprehensive cooling efficiency test of turbine blades is carried out under stationary conditions and the difference with the real rotation conditions of the engine leads to the failure of reflecting accurately the cooling performance of the blades under real working conditions, a modeling method suitable for the comprehensive cooling efficiency test results of turbine blades was proposed. Through theoretical derivation and sensitivity analysis, the influence laws of multiple factors such as rotation on the comprehensive cooling efficiency of turbine blades were obtained. The flow ratio had the greatest impact on the comprehensive cooling efficiency, the mainstream Reynolds number and the equivalent speed were the second, and the temperature ratio had the lowest impact. Compared with the traditional molding method without considering the influence of rotation, the molding method improved the prediction accuracy of the comprehensive cooling efficiency of the turbine blade by more than 50%, and the final average error was 3%, and the maximum error was 6%.
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图 2 不同湍流模型与试验结果对比
Figure 2. Comparison of different turbulence models with test results
图 6 面平均综合冷效随主流雷诺数变化规律
Figure 6. Variation of area-averaged overall cooling effectiveness with the mainstream Reynolds number
图 7 面平均综合冷效随流量比变化规律
Figure 7. Variation of the area-averaged overall cooling effectiveness with the flow ratio
图 8 面平均综合冷效随温比变化规律
Figure 8. Variation of area-averaged overall cooling effectiveness with the temperature ratio
图 9 面平均综合冷效之比随折合转速变化规律
Figure 9. Variation of area-averaged overall cooling effectiveness ratio with the converted speed
图 10 关联式对面平均综合冷效修正效果图
Figure 10. Correlation of the area-averaged overall cooling effectiveness correction renderings
图 11 压力面中截面综合冷效沿轴向分布图
Figure 11. Overall cooling effectiveness distribution on the mid-section of pressure surface along the axial direction
图 12 吸力面中截面综合冷效沿轴向分布图
Figure 12. Overall cooling effectiveness distribution on the mid-section of the suction surface along the axial direction
表 1 转子单流道参数表
Table 1. Rotor single channel parameter table
参数 设计点 入口总温/K 683.8 入口流量/（kg/s） 0.155 冷气总温/K 344 冷气流量/（kg/s） 0.0077 转速/（r/min） 7887.5 
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表 2 网格无关性分析
Table 2. Grid independence analysis
网格数/104 壁面温度/K 3800 481.996 5600 482.611 6600 482.388 7200 482.223 7500 482.213
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表 3 关联式参数指数
Table 3. Exponent of the associative parameter
参数 指数 流量比 0.39 温比 −0.012 主流雷诺数 0.15
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表 4 不同工况参数之比
Table 4. Parameter ratio under different operating conditions
参数 与工况B参数之比 流量比 0.833 温比 1.2 主流雷诺数 1.2 折合转速 1.268
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