In this paper, the applicability of a theoretical flow resistance law to sediment-laden flow in pipes is tested. At first, the incomplete self-similarity (ISS) theory is applied to deduce the velocity profile and the corresponding flow resistance law. Then the available database of measurements carried out by clear water and sediment-laden flows with sediments having a quasi-uniform sediment size and three different values of the mean particle diameter D_m (0.88 mm, 0.41 mm and 0.30 mm) are used to calibrate the parameter of the power-velocity profile). The fitting of the measured local velocity to the power distribution demonstrates that (i) for clear flow the exponent δ) can be estimated by the equation of Castaing et al. and (ii) for the sediment-laden flows δ is related to the diameter D_m. A relationship for estimating the parameter Г_v obtained by the power-velocity profile) and that Г_f of the flow resistance law) is theoretically deduced. The relationship between the parameter Г_v, the head loss per unit length and the pipe flow Froude number is also obtained by the available sediment-laden pipe flow data. Finally, the procedure to estimate the Darcy–Weisbach friction factor is tested by the available measurements.

中文翻译：

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评估沉积物输送对管道流动阻力的影响

在本文中，测试了理论流动阻力定律对管道中含泥沙流的适用性。首先，应用不完全自相似（ISS）理论推导出速度剖面和相应的流阻规律。然后测量的可用的数据库进行的清水和泥沙流与具有准均匀沉积物尺寸和平均颗粒直径的三个不同值的沉积物d_米（0.88毫米，0.41毫米和0.30毫米）用于校准功率-速度曲线的参数）。测得的局部速度与功率分布的拟合表明 (i) 对于畅通流，指数 δ) 可以通过 Castaing 等人的方程来估计。(ii) 对于载沙流，δ 与直径有关d_米。理论上推导出了估计由功率-速度曲线获得的参数 Г _v和流阻定律的Г _f的关系。参数 Г _v、单位长度水头损失和管流弗劳德数之间的关系也可以通过可用的含泥沙管流数据获得。最后，估计达西-魏斯巴赫摩擦系数的程序通过可用的测量结果进行测试。