基于复折射率赋值优化的碳烟比色测温法

Optimization of colorimetric thermometry of soot based on complex refractive index assignment

  • 摘要: 在比色测温法中,传统复折射率在赋值时认为波长确定的碳烟复折射率恒定,因此采用经验公式或实验值赋值。随着碳烟机理的研究深入到更小的尺度,此种赋值方式将导致比色测温法的计算结果出现较大误差。以光学带隙为中间桥梁,将光学带隙和粒径间物理关系与线性插值取得的光学带隙和复折射率间的关系相结合,构建得到复折射率与碳烟粒径的关系,然后以此来探索比色测温法中碳烟颗粒尺度效应对复折射率的影响,并分别采用经验公式和实验值对复折射率赋值方法进行优化。将优化后的碳烟颗粒温度计算值与激光诱导荧光法测量的温度数据进行比较,评估两种方法的优化效果。研究结果表明:复折射率传统赋值方法的测温结果与实验结果存在20%~50%的相对误差,偏差值在300 K~1 000 K之间。在两种优化方法中,基于经验公式的优化方法仅将相对误差降低了约5%,而基于实验值的优化方法则显著提高了火焰温度测量的精度,测温结果的相对误差降低了约40%。

     

    Abstract: In the colorimetric temperature measurement method, the traditional assignment of complex refractive index assumes a constant refractive index for soot at a designated wavelength, employing either empirical formulas or empirical values for assignment. However, with the study of the mechanism of soot deepens to a smaller scale, this assignment method will lead to a large error in the calculation results of colorimetric thermometry. The relationship between the complex refractive index and soot particle size was established by bridging the physical correlation between the optical band gap and particle size with the relationship between the optical band gap and complex refractive index derived through linear interpolation. The influence of the scale effect of soot particles on the complex refractive index in the colorimetric thermometry was explored through this relationship, and the complex refractive index assignment method was optimized by empirical formulas and experimental values, respectively. The optimized calculated temperature of soot particles was compared with the temperature data measured by laser-induced fluorescence to evaluate the optimization effect of the two methods. The experimental results indicate that the temperature measurement results based on the traditional assignment method of complex refractive index exhibit a relative error of 20% to 50% compared to the experimental results, with the deviation falling within the range of 300 K to 1 000 K. Among the two proposed optimization methods, the approach based on empirical formulas only marginally reduces the relative error by about 5%. In contrast, the optimization method relying on experimental values significantly enhances the accuracy of flame temperature measurements, reducing the relative error by approximately 40%.

     

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