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Turbulence profiles from a smooth flat-plate turbulent boundary layer at high Reynolds number

机译:来自高雷诺数的光滑平板湍流边界层的湍流剖面

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摘要

Much is known about smooth-flat-plate turbulent boundary layers (TBLs) at laboratory-scale Reynolds numbers because of a wealth of experimental data. However, smooth-flat-plate TBL data are much less common at the high Reynolds numbers typical of aerodynamic and hydrodynamic applications (Re _x~10 ~8-10 ~(10)), and at the even higher Reynolds numbers of many geophysical flows. This paper presents new LDV-measured profiles of the stream-wise velocity variance, the wall-normal velocity variance, and the Reynolds shear stress from the TBL that formed on a smooth flat plate at Karman numbers from 15,000 to 60,000 (Re _x from 75 million to 220 million). The experiments were conducted in the William B. Morgan Large Cavitation Channel on a polished (k ~+<0.2) flat-plate test model 12.9m long and 3.05m wide at water flow speeds up to 20ms ~(-1). The TBL on the model developed in a mild favorable pressure gradient having an acceleration parameter K~10 ~(-10). When plotted with the usual inner and outer scalings, the stream-wise velocity variance profiles display a Reynolds number dependence that is consistent with prior lower Reynolds-number zero-pressure-gradient TBL measurements. However, using the same normalizations, the profiles of wall-normal velocity variance and Reynolds shear stress are found to be Reynolds number independent, or nearly so, when experimental uncertainties are considered.
机译:由于大量的实验数据,关于实验室规模的雷诺数的光滑平板湍流边界层(TBL)众所周知。但是,在空气动力学和流体力学应用中典型的高雷诺数(Re _x〜10〜8-10〜(10)),以及许多地球物理流的雷诺数更高时,光滑平板的TBL数据要少得多。 。本文介绍了新的LDV测量的流向速度方差,壁法向速度方差以及在光滑平板上形成的TBL雷诺兹剪切应力的分布图,该平板在Karman数为15,000至60,000时(Re _x从75百万至2.2亿)。实验是在William B. Morgan大空化通道上进行的,其抛光的(k〜+ <0.2)平板测试模型长12.9m,宽3.05m,水流速度高达20ms〜(-1)。该模型上的TBL在一个适度的有利压力梯度下发展,其加速度参数为K〜10〜(-10)。当使用通常的内部和外部比例进行绘制时,流向速度方差分布图显示的雷诺数依赖性与先前较低的雷诺数零压力梯度TBL测量值一致。但是,在考虑实验不确定性的情况下,使用相同的归一化方法,发现壁法向速度变化和雷诺剪切应力的分布与雷诺数无关,或者几乎与雷诺数无关。

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