Uncertainty Evaluation of Dynamic Pressure Measurement in Non-Ideal Shock Tube
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摘要: 针对非理想激波管动态压力测量不确定度评定中普遍忽略幅值波动、未充分考虑入射激波速度衰减,导致测量不确定度评定结果不可靠的问题,提出了一种非理想激波管动态压力测量不确定度的可靠评定方法。该方法综合考虑和分析了动态压力稳态幅值和波动幅值的测量不确定度。首先,根据建立的稳态幅值可溯源测量模型及基于分布式激波速度测量方案,探究了入射激波速度衰减拟合不确定度,以及端面处入射激波马赫数与低压室介质比热比之间相关性引入的不确定度的影响,并通过GUM方法实现其测量标准不确定度可靠评定。然后,针对波动幅值测量不确定度,综合考虑了波动幅值相邻时刻数据间的交互作用以及重复测量结果之间的分散性,引入共轭贝叶斯方法,实现了具有时变特性的波动幅值测量标准不确定度评定。最后,通过稳态幅值和波动幅值的测量标准不确定度合成,实现非理想激波管动态压力测量不确定度可靠评定。激波管动态压力测量实验结果显示,马赫数法因忽略波动幅值且未充分考虑入射激波速度衰减影响,导致动态压力测量不确定度评定结果偏小。而采用所提出方法得到的非理想激波管动态压力测量相对不确定度为1.04%,有效提升了不确定度评定结果的可靠性。
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关键词:
Abstract: To address the problem that amplitude fluctuations are generally ignored and incident shock wave velocity attenuation is not fully considered in the uncertainty evaluation of dynamic pressure measurement in a non-ideal shock tube, thereby leading to unreliable evaluation results, a reliable method for evaluating the measurement uncertainty of dynamic pressure in the non-ideal shock tube was proposed. In this method, the measurement uncertainties of the stable amplitude and the fluctuation amplitude of dynamic pressure were comprehensively considered and analyzed. First, based on the established traceable measurement model for stable amplitude and the distributed incident shock wave velocity measurement scheme, the fitting uncertainty of the incident shock wave velocity attenuation was investigated, together with the influence of the uncertainty introduced by the correlation between the incident shock wave Mach number at the end face and the specific heat ratio of the medium in the driven section. Their standard measurement uncertainties were then reliably evaluated using the GUM method. Then, for the measurement uncertainty of the fluctuation amplitude, the interaction between adjacent data and the dispersion among repeated measurement results were comprehensively considered. The conjugate Bayesian method was introduced to achieve the evaluation of the standard measurement uncertainty of the fluctuation amplitude with time-varying features. Finally, by combining the standard measurement uncertainties of the stable amplitude and the fluctuation amplitude, a reliable evaluation of the measurement uncertainty of dynamic pressure in the non-ideal shock tube was achieved. The experimental results of dynamic pressure measurement in the shock tube show that the Mach number method ignores the fluctuation amplitude and fails to fully consider the influence of incident shock wave velocity attenuation, thus underestimating the dynamic pressure measurement uncertainty. In contrast, the relative uncertainty of dynamic pressure measurement in the non-ideal shock tube obtained by the proposed method is 1.04%, which effectively improves the reliability of the uncertainty evaluation results.-
Key words:
- Shock tube /
- Pressure measurement /
- Fluctuation amplitude /
- Uncertainty evaluation /
- Stable amplitude
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