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摘要:
根据数字全息干涉度量原理搭建了气液质扩散系数测量实验平台，设计并加工了中空不锈钢恒温扩散槽，采用自编程序进行数字图像处理，通过测量298.15 K时0.33 mol/L KCl溶液在水中的质扩散系数验证了实验系统的正确性。实验测量了常压下278.15~343.15 K温度范围内CO2在RP5航空燃油中的质扩散系数。随着温度的增加，CO2在RP5航空燃油中的质扩散系数逐渐增大。不同温度下的质扩散系数可利用Arrhenius方程模型进行拟合，而且质扩散系数理论模型计算与实验测量结果之间的相对误差均小于9.51%。在实际工程应用中，可根据拟合的Arrhenius方程对CO2在RP5航空燃油中的质扩散系数进行准确的预测，实验测量结果为燃油箱惰化系统的优化设计提供了数据支持。
Abstract:The experimental platform for measuring the gas-liquid mass diffusion coefficient is set up based on the method of digital holographic interferometry. The hollow stainless steel constant temperature diffusion tank is designed and processed and the digital image processing is coded by self-programming on MATLAB. The correctness of the experimental system is verified by measuring the mass diffusion coefficient of 0.33 mol/L KCl in water at 298.15 K. Then the mass diffusion coefficient of CO2 in RP5 jet fuel is measured in the temperature range of 278.15 K to 343.15 K under normal pressure. The mass diffusion coefficient increases with the increase of temperature. The mass diffusion coefficient at different temperatures can be fitted by Arrhenius equation model, and the relative difference between theoretical model calculation and experimental measurement results is less than 9.51%. Therefore, in practical engineering applications, the mass diffusion coefficient of CO2 in RP5 jet fuel can be accurately predicted according to the Arrhenius equation, and the experimental results provide data support for the optimal design of tank inerting system.
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图 1 扩散过程中浓度和浓度差分布
Figure 1. Concentration and concentration difference distribution during diffusion process
图 5 CO2在RP5航空燃油扩散体系中的图像处理过程
Figure 5. Image processing of CO2 in RP5 jet fuel diffusion system
图 6 扩散方向解包裹相位差分布
Figure 6. Unwrapped phase difference distribution in diffusion direction
图 7 CO2在RP5航空燃油中的质扩散系数拟合
Figure 7. Mass diffusion coefficient fitting of CO2 in RP5 jet fuel
图 8 质扩散系数理论计算与实验测量结果误差
Figure 8. Difference between theoretical calculation result and experimental measurement result of mass diffusion coefficient
表 1 298.15 K时0.33 mol/L KCl溶液在水中质扩散系数
Table 1. Mass diffusion coefficient of 0.33 mol/L KCl in water at 298.15 K
t1/s t2/s Δz/mm D/ (10-9 m2·s-1) D′/ (10-9 m2·s-1) 900 1 800 4.259 1.817 1.811 2 700 4.631 1.808 3 600 4.892 1.798 4 500 5.130 1.819 
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表 2 CO2在RP5航空燃油中的质扩散系数
Table 2. Mass diffusion coefficient of CO2 in RP5 jet fuel
T/K t1/s t2/s 
D/ (10-8 m2·s-1) D′/ (10-8 m2·s-1) 278.15 1 800 3 600 7.057 0.998 0.899 5 400 7.360 0.913 7 200 7.237 0.787 283.15 1 800 3 600 7.362 1.086 1.091 5 400 7.640 0.984 7 200 8.947 1.203 288.15 1 800 3 600 8.141 1.328 1.389 5 400 9.281 1.452 7 200 9.607 1.387 293.15 1 800 3 600 9.154 1.679 1.766 5 400 10.057 1.705 7 200 11.285 1.914 298.15 1 800 3 600 10.445 2.186 2.039 5 400 11.196 2.113 7 200 10.994 1.817 303.15 1 800 3 600 12.023 2.897 2.802 5 400 13.261 2.964 7 200 13.014 2.545 308.15 1 800 3 600 13.106 3.442 3.425 5 400 14.719 3.652 7 200 14.550 3.182 313.15 1 800 3 600 15.410 4.759 4.458 5 400 16.290 4.473 7 200 16.603 4.143 318.15 1 800 3 600 16.200 5.259 5.521 5 400 18.023 5.476 7 200 19.695 5.829 323.15 1 800 3 600 17.363 6.041 6.422 5 400 19.422 6.358 7 200 21.374 6.866 328.15 1 800 3 600 19.952 7.976 7.791 5 400 22.087 8.223 7 200 21.851 7.175 333.15 1 800 3 600 20.417 8.352 8.509 5 400 23.269 9.127 7 200 23.142 8.048 338.15 1 800 3 600 21.637 9.381 9.551 5 400 23.399 9.229 7 200 25.850 10.042 343.15 1 800 3 600 23.381 10.954 11.442 5 400 25.335 10.819 7 200 28.902 12.554
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