A method for extending measurement range of five-hole pressure probe
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摘要:
为了拓宽五孔压力探针的角度测量范围,首先在低速风洞中进行探针校准,应用拓宽方法处理校准数据,对比不同校准系数定义下探针校准曲线特性及差异,并确定五孔压力探针在低速流动中的测量范围。在此基础上,通过亚声速风洞开展不同马赫数下的适用性研究,评估该拓宽方法在可压缩流动中的应用效果。最后在风洞中进行实际测量,分析该拓宽方法的误差水平。结果表明:采用的校准系数定义可以使校准曲线在较宽的角度范围内都具有良好的单调性和较高的计算精度;在低速情况下,五孔压力探针在偏转角 ±70°、俯仰角 ±50°的测量范围内均适用;在亚声速情况下,可压缩流动对俯仰角的负向测量范围影响较大,但偏转角的测量范围仍可达到接近 ±70°。误差分析结果表明,应用该拓宽方法测量的误差水平整体较低。该拓宽五孔压力探针测量范围的方法在一些气流角变化较大的叶轮机械测试中具有很好的应用前景。
Abstract:In order to extend the measurement range of five-hole pressure probe (FHPP), the probe was calibrated firstly in a low-speed wind tunnel. The extending method was applied to process the calibration data, the differences of the probe calibration curves defined by different calibration coefficients were compared, and the measurement range of the FHPP in low-speed flow was determined. On this basis, the applicability study at different Mach numbers was carried out in a subsonic wind tunnel to evaluate the application effect of the extending method in compressible flow. Finally, actual measurement was carried out in the wind tunnel to analyze the error level of the extending method. The results showed that: the calibration curve had a wider monotonic range and higher calculation accuracy after using this calibration coefficient definition. At low speed, the FHPP was applicable within the measurement range of yaw angle ±70° and pitch angle ±50°. At subsonic speed, the compressible flow had a great influence on the negative measurement range of the pitch angle, but the measurement range of the yaw angle can still reach close to ±70°. The error analysis results also showed that the error level measured by the extending method was generally lower. This method for extending the angular measurement range of FHPP has a good application prospect in some turbomachinery internal flow tests with a large angle variation range.
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表 1 左孔迎风下不同校准系数定义
Table 1. Definition of different calibration coefficients in the left zone
方法 ${p_{\text{p}}}$ ${C_{{\text{py}}}}$ ${C_{{\text{pt}}}}$ 对照方法1 ${{\left( {{p_1} + {p_4} + {p_5}} \right)} \mathord{\left/ {\vphantom {{\left( {{p_1} + {p_4} + {p_5}} \right)} 3}} \right. } 3}$ ${ {( { {p_2} - {p_1} } )} \mathord{/ {\vphantom { {({ {p_2} - {p_1} } )} {( { {p_2} - {p_{\text{p} } } } )} } } } {( { {p_2} - {p_{\text{p} } } } )} }$ ${ {\left( { {p_2} - {p_{\text{t} } } } \right)} \mathord{\left/ {\vphantom { {\left( { {p_2} - {p_{\text{t} } } } \right)} {\left( { {p_2} - {p_{\text{p} } } } \right)} } } \right. } {( { {p_2} - {p_{\text{p} } } } )} }$ 对照方法2 ${{\left( {{p_1} + {p_4} + {p_5}} \right)} \mathord{\left/ {\vphantom {{\left( {{p_1} + {p_4} + {p_5}} \right)} 3}} \right. } 3}$ ${ {\left[ { ({p_4} + {p_5}) /2 - {p_2} } \right]}\mathord{\left/ {\vphantom { {\left[{ ({p_4} + {p_5})/2 - {p_2} } \right]} {\left( { {p_2} - {p_{\text{p} } } } \right)} } } \right. } {( { {p_2} - {p_{\text{p} } } } )} }$ ${ {\left( { {p_{\text{s} } } - {p_{\text{t} } } } \right)} \mathord{\left/ {\vphantom { {\left( { {p_{\text{s} } } - {p_{\text{t} } } } \right)} {\left( { {p_2} - {p_{\text{p} } } } \right)} } } \right. } {( { {p_2} - {p_{\text{p} } } } )} }$ 传统方法 ${{\left( {{p_2} + {p_3} + {p_4} + {p_5}} \right)} \mathord{\left/ {\vphantom {{\left( {{p_2} + {p_3} + {p_4} + {p_5}} \right)} 4}} \right. } 4}$ ${ {\left( { {p_2} - {p_3} } \right)} \mathord{\left/ {\vphantom { {\left( { {p_2} - {p_3} } \right)} {\left( { {p_1} - {p_{\text{p} } } } \right)} } } \right. } {( { {p_1} - {p_{\text{p} } } } )} }$ ${ {\left( { {p_1} - {p_{\text{t} } } } \right)} \mathord{\left/ {\vphantom { {\left( { {p_1} - {p_{\text{t} } } } \right)} {\left( { {p_1} - {p_{\text{p} } } } \right)} } } \right. } {( { {p_1} - {p_{\text{p} } } } )} }$ 表 2 五孔压力探针拓宽方法测量误差
Table 2. Measurement error of five-hole pressure probe extending method
实验序号 区域编号 偏转角$ \alpha $/(°) 俯仰角$ \varphi $/(°) 马赫数Ma $ {\sigma _{\alpha}} $/(°) $ {\sigma _{\varphi}} $/(°) $ {\sigma _{Ma}} $ 1 1 −8 27 0.297 0.03 −0.21 −0.001 2 1 18 3 0.299 −0.10 −0.27 0.001 3 2 −48 27 0.298 0.18 −0.55 −0.001 4 3 68 3 0.298 0.88 −0.27 0.003 5 1 −17 3 0.48 0.36 −0.89 0.003 6 2 −57 18 0.468 0.11 −0.07 −0.001 7 1 18 26 0.47 0.43 −0.09 −0.001 8 3 48 3 0.481 0.21 0.40 −0.002 -
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