An analytical power-law for velocity distribution is developed and validated using experimental results for rough, narrow open-channel flows. In addition, an empirical power-law for the mean velocity distribution is also proposed. To this end, experiments were conducted to investigate the turbulence characteristics in developing and fully developed narrow open-channel flows over a fixed continuous rough bed. Instantaneous 3-D velocities were acquired using a Nortek VectrinoPlus down looking acoustic Doppler velocimeter at streamwise intervals of 0.5 m along the centerline of the flume. Using the experimental data, shape factors and frictional characteristics in narrow open-channel flow were analysed. In addition, this paper investigated changes in the turbulence anisotropy and the decay of turbulence along the mid-depth of the hydraulically rough flow. The new analytical power-law equation developed in this paper accurately describes the fully developed velocity profile in narrow open-channel flow with the dip phenomenon. Reynolds number and aspect ratio significantly influenced the turbulence characteristics in the upper half of the flow field. The decreasing turbulence intensities at mid-depth along the flow developing region demonstrate the attainment of isotropic turbulence as the flow development occurs in the narrow open-channel.

使用粗糙的、狭窄的明渠流的实验结果开发并验证了速度分布的分析幂律。此外，还提出了平均速度分布的经验幂律。为此，进行了实验以研究在固定连续粗糙床上发展和完全发展的狭窄明渠流动的湍流特征。使用 Nortek VectrinoPlus 下视声学多普勒测速仪沿水槽中心线以 0.5 m 的流向间隔获取瞬时 3-D 速度。利用实验数据，分析了狭窄明渠流中的形状因素和摩擦特性。此外，本文研究了湍流各向异性的变化和湍流沿水力粗流中间深度的衰减。本文开发的新的分析幂律方程准确地描述了具有倾角现象的狭窄明渠流中完全发展的速度剖面。雷诺数和纵横比显着影响流场上半部分的湍流特性。沿流动发展区中深度处湍流强度的降低表明，随着流动发展发生在狭窄的明渠中，各向同性湍流的实现。雷诺数和纵横比显着影响流场上半部分的湍流特性。沿流动发展区中深度处湍流强度的降低表明，随着流动发展发生在狭窄的明渠中，各向同性湍流的实现。雷诺数和纵横比显着影响流场上半部分的湍流特性。沿流动发展区中深度处湍流强度的降低表明，随着流动发展发生在狭窄的明渠中，各向同性湍流的实现。