Flow calibration system test based on critical flow Venturi nozzle array
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摘要:
为提高动力模拟等风洞试验测量数据的精确度,现依托中国空气动力研究与发展中心的集中高压气源,采用标准表法原理,研制了基于临界流文丘里喷嘴阵列的次级流量标准装置,设计校准压力范围为1~6 MPa,流量范围为0.2~5.55 kg/s。标准装置由供气系统、标准临界流文丘里喷嘴阵列和测量采集系统等组成,其中,标准临界流文丘里喷嘴溯源至中国计量科学研究院的pVTt法流量标准装置。针对该装置,试验测量分析了供气系统稳定性、管道内温度场以及流出系数测量重复性等特性,并进行不确定度分析。试验结果表明,该标准装置的供气系统稳定性良好,管道内温度场分布的均匀性随着流量增加而提高,流出系数的测量重复性在0.04%以内,扩展不确定度(包含因子
k =2)小于0.15%。Abstract:In order to improve the accuracy of wind tunnel test, a secondary flow standard device based on critical flow Venturi nozzle array was developed based on the high-pressure air source of China Aerodynamics Research and Development Center. The designed calibration pressure range was 1—6 MPa, and the flow range was 0.2—5.55 kg/s. The calibration device was composed of gas supply system, standard critical flow Venturi nozzle array and measurement system. The standard critical flow Venturi nozzles were traced to the pVTt method flow standard device of the National Institute of Metrology. The stability of the gas supply system, the temperature field inside the pipeline, and the repeatability of the discharge coefficient were experimentally studied. In addition, the uncertainty of the discharge coefficient was analyzed. The experimental results indicated that the gas supply system of the standard device had good stability. The uniformity of temperature distribution inside the pipeline increased with the increase of flow rate. The measurement repeatability of the discharge coefficient was within 0.04%, and the extended uncertainty (coverage factor
k =2) was less than 0.15%. -
表 1 CFVN (SN3-1)重复性试验结果
Table 1. Repeatability test results of CFVN (SN3-1)
待校准测点 序号 滞止压力/kPa 滞止温度/K 雷诺数/106 流出系数 平均流出系数 重复性/% 测点1 1 952.123 296.1 0.898 0.9948 0.9948 0 2 952.752 296.3 0.898 0.9948 3 953.311 296.5 0.898 0.9948 测点2 1 2405.341 300.1 2.255 0.9961 0.9960 0.01 2 2407.298 300.2 2.256 0.9960 3 2409.437 300.3 2.257 0.9960 测点3 1 3559.468 301.2 3.340 0.9962 0.9961 0.01 2 3563.502 301.5 3.341 0.9961 3 3582.736 301.8 3.356 0.9961 测点4 1 4791.950 301.5 4.511 0.9958 0.9959 0.01 2 4798.976 302.0 4.512 0.9960 3 4800.695 302.2 4.510 0.9960 测点5 1 6023.920 301.2 5.702 0.9958 0.9959 0.01 2 6023.684 301.2 5.701 0.9959 3 6023.736 301.3 5.699 0.9960 表 2 CFVN (SN5-1)重复性试验结果
Table 2. Repeatability test results of CFVN (SN5-1)
待校准测点 序号 滞止压力/kPa 滞止温度/K 雷诺数/106 流出系数 平均流出系数 重复性/% 测点1 1 985.118 299.6 1.297 0.9947 0.9945 0.02 2 982.257 299.7 1.293 0.9943 3 982.733 299.9 1.293 0.9944 测点2 1 2407.270 301.7 3.168 0.9950 0.9950 0.01 2 2413.566 302.3 3.171 0.9950 3 2415.024 302.4 3.172 0.9949 测点3 1 3615.609 302.2 4.772 0.9951 0.9947 0.04 2 3584.869 301.4 4.742 0.9948 3 3598.241 301.3 4.761 0.9943 测点4 1 4750.445 301.4 6.310 0.9946 0.9947 0.01 2 4781.773 302.2 6.338 0.9947 3 4799.410 300.5 6.393 0.9947 测点5 1 6190.247 301.6 8.261 0.9948 0.9948 0.01 2 6142.713 299.9 8.239 0.9947 3 6041.973 301.2 8.067 0.9949 表 3 CFVN (SN7)重复性试验结果
Table 3. Repeatability test results of CFVN (SN7)
待校准测点 序号 滞止压力/kPa 滞止温度/K 雷诺数/106 流出系数 平均流出系数 重复性/% 测点1 1 879.316 301.2 1.627 0.9951 0.9952 0.02 2 879.811 301.4 1.627 0.9952 3 874.827 292.1 1.661 0.9954 测点2 1 2169.618 300.7 4.038 0.9955 0.9957 0.03 2 2168.457 300.4 4.039 0.9956 3 2123.148 291.3 4.061 0.9961 测点3 1 3236.867 299.9 6.063 0.9958 0.9959 0.02 2 3234.389 299.7 6.062 0.9958 3 3208.537 290.4 6.182 0.9962 测点4 1 4230.455 297.2 8.018 0.9958 0.9958 0 2 4233.705 296.7 8.037 0.9958 3 4205.526 290.6 8.132 0.9958 测点5 1 5410.576 293.2 10.428 0.9961 0.9961 0.01 2 5413.694 292.7 10.451 0.9960 3 5414.265 292.1 10.471 0.9961 表 4 流出系数不确定度分析
Table 4. Analysis of discharge coefficient uncertainty
参数 SN3-1号 SN5-1号 SN7号 $ {\stackrel{-}{p}}_{0} $/kPa 3568.569 3599.573 3226.598 $N$ 4 8 15 不确定度/% ${u_{\text{r}}} ( {{C_{{\text{d}},{\text{m}}}}} ) $ 0.04 0.04 0.04 ${u_{\text{r}}} ( {{p_0}} ) $ 0.01 0.04 0.01 ${u_{\text{r}}} ( {{p_1}} ) $ 0.01 0.01 0.01 ${u_{\text{r}}} ( {{T_0}} ) $ 0.01 0.01 0.01 ${u_{\text{r}}} ( {{T_1}} ) $ 0.12 0.03 0.03 $ {u_{\text{r}}}({C_{\text{d}}}) $ 0.01 0.02 0.02 $ {u_{\text{r}}}({C_{\text{d}}}) $ 0.074 0.070 0.048 -
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