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自相似临界尺度表征了湍流火焰内保持自相似特性的最大尺度,是确定湍流各相同性的特征尺度.本文利用光学显微技术和计算机图像处理技术,提取并分析了湍流火焰微尺度结构的曲线度和线性回归均方差在不同放大倍率下的变化规律,提出了利用相似度偏差和临界放大倍率来确定自相似临界尺度的思路,并借助于Kolmogorov微尺度η的定义,推导出临界尺度η'的数学关联式.
The self-similar critical scale characterizes the largest scale of self-similarity in turbulent flame and is the characteristic scale for determining the sameness of turbulence. In this paper, we use the optical microscopy and computer image processing techniques to extract and analyze the curve of turbulent flame microscale structure and linear regression mean square error under different magnifications, the use of similarity bias and critical magnification to determine From the idea of self-similar critical scale, and with the help of the definition of Kolmogorov micro-scale η, the mathematical relation of the critical scale η ’is deduced.