Developed log-wake law and turbulent behaviour of flow along a stepped spillway

IF 1.6 Q3 WATER RESOURCES Water Practice and Technology Pub Date : 2023-10-27 DOI:10.2166/wpt.2023.153
Panaitep Pongcharoenpit, Duangrudee Kositgittiwong, Chaiwat Ekkawatpanit
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Abstract

Abstract The log-wake law for turbulent current has been developed and tested with laboratory data on turbulent flow in smooth pipes. However, flow with turbulence and vortices in a stepped spillway have not been described. Therefore, in this study, a log-wake law has been developed for use in stepped spillway systems. It can be divided into three parts. The first part, a logarithmic equation, describes the effect of shear stress between the flow layers with a von Kármán constant of 0.41. The second part, a third-degree polynomial, describes the effect of the shear stress on the wall. The last part, a fourth-degree polynomial, describes the effect of changing the flow pressure distribution, similar to the wall-free shear stress. Calibration tests (68 datasets) are used with a flow rate between 0.0233 and 3.285 m3/s, a spillway slope of 14–30°, and a step height of 0.0380–0.610 m. The developed log-wake law characterized the flow in a stepped spillway well. The limitation of the equation is a maximum flow velocity of 4 m/s; the accuracy of this equation decreases as the step height increases.
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建立了阶梯式溢洪道的尾流规律和湍流特性
摘要建立了紊流的对数尾迹规律,并用光滑管道紊流的实验数据进行了验证。然而,阶梯式溢洪道中湍流和旋涡的流动尚未被描述。因此,在本研究中,开发了一个用于梯级溢洪道系统的对数尾流定律。它可以分为三个部分。第一部分是一个对数方程,描述了流动层之间剪切应力的影响,von Kármán常数为0.41。第二部分是一个三次多项式,描述了剪力对墙体的影响。最后一部分是一个四次多项式,描述了改变流动压力分布的影响,类似于无壁剪应力。校准试验(68个数据集)使用的流量为0.0233 ~ 3.285 m3/s,溢洪道坡度为14 ~ 30°,台阶高度为0.0380 ~ 0.610 m。建立了阶梯溢洪道井流动的尾流规律。方程的极限是最大流速为4m /s;该方程的精度随着阶跃高度的增加而降低。
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来源期刊
CiteScore
2.30
自引率
6.20%
发文量
136
审稿时长
14 weeks
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