Abstract

The possibility of reconstructing the spatial distribution of average air density in a supersonic jet from results of laser transillumination is considered. It is shown that the reconstruction procedure for axisymmetric flows can be performed based on Abel transforms by results of measurements of local wavefront tilts. An algorithm for reconstructing the average density of air in a medium from the deviations of the front of the transillumination wave relative to the jet axis is developed. The algorithm is tested in experiments on the vertical jet facility of the Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences. The results agree well both with contact measurement data known from the literature and with the numerical solution of the hydrodynamic problem.

中文翻译：

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基于激光照射结果的超音速喷气平均空气密度空间分布重建

摘要

考虑了根据激光透照结果重建超音速射流中平均空气密度空间分布的可能性。结果表明，轴对称流的重建过程可以通过局部波前倾斜的测量结果基于阿贝尔变换来执行。开发了一种算法，用于根据透射波前部相对于射流轴的偏差重建介质中空气的平均密度。该算法在俄罗斯科学院西伯利亚分院理论与应用力学研究所的垂直射流设施上进行了实验测试。结果与文献中已知的接触测量数据和流体动力学问题的数值解都非常吻合。