Statistical theory of turbulenc
Statistical theory of turbulenc
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湍流统计理论
DOI：
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发表时间：
1935
期刊：
影响因子：
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通讯作者：
G. Taylor
中科院分区：
文献类型：
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作者：
G. Taylor
自奥斯本·雷诺时代以来，人们已经知道湍流产生的虚拟平均应力与两个垂直方向上固定点处湍流速度分量之间的相关系数成比例。本文作者在1921年的“连续运动的扩散”理论中讨论了一个粒子在某一时刻的速度与同一粒子在稍后某个时刻的速度之间的相关性，或者两个固定点的同时速度之间的相关性的重要性。湍流测量技术的最新改进，使人们有可能实际测量理论中设想的一些量，从而验证当时提出的一些关系。该理论还在几个最初没有考虑的方向上发展。该理论，如最初提出的，提供了一种方法来定义湍流的规模时，运动是定义在拉格朗日的方式，并显示了这个规模是如何与扩散。它现在表明，它可以适用于拉格朗日或欧拉概念的流体流动。
Since the time of Osborne Reynolds it has been known that turbulence produces virtual mean stresses which are proportional to the coefficient of correlation between the components of turbulent velocity at a fixed point in two perpendicular directions. The significance of correlation between the velocity of a particle at one time and that of the same particle at a later time, or between simultaneous velocities at two fixed points was discussed in 1921 by the present writer in a theory of “Diffusion by Continuous Movements.” The recent improvements in the technique of measuring turbulence have made it possible actually to measure some of the quantities envisaged in the theory and thus to verify some of the relationships then put forward. The theory has also been developed in several directions which were not originally contemplated. The theory, as originally put forward, provided a method for defining the scale of turbulence when the motion is defined in the Lagrangian manner, and showed how this scale is related to diffusion. It is now shown that it can be applied either to the Lagrangian or to the Eulerian conceptions of fluid flow.