ABSTRACT In light of recent data from hot-wire anemometry and laser Doppler velocimetry, this article explores experimentally the momentum balance and kinetic energy production in fully developed turbulent pipe flow for shear Reynolds numbers in the range from two pipe facilities. It has become common practice to indirectly deduce the Reynolds shear stress via the mean flow data and the mean-momentum balance whenever the simultaneous measurements of the streamwise and wall-normal velocity fluctuations can not be performed precisely. The current assessment underlines, however, the importance of measuring the Reynolds shear stress directly, and the friction velocity independently from the mean-velocity profile to ascertain the quality of the data when utilising the momentum balance. The present analysis also reinforces the universality of the viscous stress gradient to the Reynolds shear stress gradient in the wall vicinity up to the inner limit of the logarithmic layer. The new set of the experimental data shows that Panton's stress function reproduces the measured Reynolds shear stress and kinetic energy production in turbulent pipe flows over a wide Reynolds number range to a high degree.

中文翻译：

---

高雷诺数下湍流管流中平均动量和动能平衡方程的实验评估

摘要 根据热线风速测量和激光多普勒测速的最新数据，本文通过实验探讨了完全发展的湍流管流中的动量平衡和动能产生，用于剪切雷诺数在两个管道设施的范围内。当不能精确地同时测量流向和壁法向速度波动时，通过平均流动数据和平均动量平衡间接推导出雷诺剪应力已成为普遍做法。然而，当前的评估强调了在利用动量平衡时直接测量雷诺剪切应力和独立于平均速度剖面的摩擦速度以确定数据质量的重要性。目前的分析还加强了粘性应力梯度对壁附近雷诺剪切应力梯度的普遍性，直到对数层的内部极限。一组新的实验数据表明，潘顿应力函数高度再现了在较宽雷诺数范围内湍流管流中测量的雷诺剪应力和动能产生。