A New Method for Determining the Sampling Volume and the Number of Particles Within It for Particle Concentration Identification in Defocused Interferometric Particle Imaging
A New Method for Determining the Sampling Volume and the Number of Particles Within It for Particle Concentration Identification in Defocused Interferometric Particle Imaging
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DOI：
10.1109/jphot.2017.2648258
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发表时间：
2017-01
影响因子：
2.4
通讯作者：
Hongxia Zhang;Ye Zhou;Jing Liu;Dagong Jia;Tiegen Liu
中科院分区：
文献类型：
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作者：
Hongxia Zhang;Ye Zhou;Jing Liu;Dagong Jia;Tiegen Liu
干涉颗粒成像（IPI）是一种用于测量颗粒尺寸和速度的强大技术。在散焦IPI，是唯一有价值的喷雾场的质量控制，一个可靠的方法来识别的颗粒浓度的体积采样的片状光束仍然是突出的。本文提出了一种新的方法来确定离焦IPI的采样体积和采样体积内的颗粒数量，以告知颗粒浓度。确定采样体积和采样体积内的颗粒数量的方法记录与一组新的公式推导出使用传统的射线跟踪和干涉原理。对于任何定义的测量几何形状，当已知片状光束的横向和高度尺寸以及散焦距离时，量化采样体积。通过分析干涉圆的尺寸范围$[ {\Phi _{pix 2}}，{\Phi _{pix 1} ]$，确定颗粒是否在采样体积内，对采样体积中的颗粒数进行计数。在合成干涉图（1%噪声）上测试用于识别散焦IPI中的颗粒浓度的方法，所述合成干涉图对应于第一，在0.0040至0.239 mm−3的不同浓度下的45 μm的相同尺寸的颗粒，以及第二，在10至90 μm的尺寸范围内的0.0119和0.119 mm−3浓度的颗粒。然后，分别针对尺寸为10、21.3和45 μm的颗粒的实验浓度，对这种用于定量散焦IPI中颗粒浓度的新方法进行了检验。对于45 μm、浓度为0.006 mm−3的颗粒，最大实验误差为10.4%，并随颗粒浓度的增加而减小。这种用于识别颗粒浓度的方法预期可应用于其中颗粒分析将由散焦IPI呈现的各种领域。
Interferometric particle imaging (IPI) is a robust technique for measuring particle size and velocity. In defocused IPI that is uniquely valuable to quality control of a spray field, a reliable method for identifying the particle concentration in the volume sampled by the sheet beam remains outstanding. This paper proposes a new approach to the determination of the sampling volume of defocused IPI and the number of particles within the sampling volume for informing the particle concentration. The methods for determining the sampling volume and the number of particles within the sampling volume are documented with a new set of formula derived using conventional ray-tracing and interferometry principles. For any defined measurement geometry, the sampling volume is quantitated when the lateral and elevational dimensions of the sheet beam and the defocusing distance are known. The number of particles in the sampling volume is counted by determining whether or not a particle is within the sampling volume, upon the analysis of the size range $[ {{\Phi _{pix2}},{\Phi _{pix1}}} ]$ of the interference circle. The method for identifying particle concentration in defocused IPI is tested on synthetic interferogram (1% noise) corresponding to first, particles of the same size of 45 μm at different concentrations ranging from 0.0040 to 0.239 mm−3 and, second, particles of 0.0119 and 0.119 mm−3 concentrations with the sizes ranging from 10 to 90 μm. This new method for quantitating particle concentration in defocused IPI is then examined against experimental concentrations of particles of 10, 21.3, and 45 μm in size, respectively. The largest experimental error for 45 μm particles with the concentration of 0.006 mm−3 is 10.4% and decreases with the increase of the particle concentration. This method for identifying particle concentration is expected to be applicable to various areas wherein particle analysis is to be rendered by defocused IPI.