Statistical theory of turbulence-II

Statistical theory of turbulence-II
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湍流统计理论-II

DOI:
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发表时间:
1935
期刊:
Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences
影响因子:
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通讯作者:
G. Taylor
G. Taylor
中科院分区:
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文献类型:
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作者:
G. Taylor

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第一部分所述的方法已被L. F. G. Simmons教授的研究,以实验的方式找出在横向于水流方向上相距y的两点处速度u 0和uy的湍流分量之间的相关性。测量是在平均速度U = 25英尺/秒的风洞中进行的,风洞后面有一个0.9英寸见方的网孔。结果如图1所示,其中纵坐标为Ry = uouy/u2,横坐标为y的相应值。可以看出,Ry曲线在顶部明显是圆的,在y = 0·38英寸时,Ry福尔斯降到0·08。在这一点之外没有进行测量,但外推法似乎表明,当y约为0.5英寸时,Ry = 0,即,当y略大于1/2 M时。对图1的曲线求积分,得到l2 = 0.5”Ry = 0.175英寸的值,因此l2/M = 0.175/0.9 = 0.195。
The methods described in Part I have been used by Mr. L. F. G. Simmons, of the National Physical Laboratory, to find experimentally the correlation between the turbulent components of velocity u0 and uy at two points distant y apart in a direction transverse to the stream. The measurements were made at mean speed U = 25 feet per second in a wind tunnel behind a honeycomb with 0·9-inch square mesh. The results are shown in fig. 1 where the ordinates are Ry = ¯¯uouy/ ¯¯u2 and the abscissae are the corresponding values of y. It will be seen that the Ry curve is apparently rounded at the top and that Ry falls to 0·08 at y = 0·38 inches. No measurements were made beyond this point, but extrapolation seems to show that Ry = 0 when y is about 0·5 inches, i.e., when y is slightly greater than 1/2M. Integrating the curve of fig. 1 the value of l2 = ∫0 0.5" Ry = 0·175 inch, so that l2/M = 0·175/0·9 = 0·195.