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Open AccessArticle

Study on the Characteristic Point Location of Depth Average Velocity in Smooth Open Channels: Applied to Channels with Flat or Concave Boundaries

1
College of Water Resources & Civil Engineering, China Agricultural University, 17 Tsinghua East Rd., Haidian District, Beijing 100083, China
2
College of Engineering, China Agricultural University, 17 Tsinghua East Rd., Haidian District, Beijing 100083, China
*
Author to whom correspondence should be addressed.
Water 2020, 12(2), 430; https://doi.org/10.3390/w12020430
Received: 14 November 2019 / Revised: 15 January 2020 / Accepted: 2 February 2020 / Published: 5 February 2020
(This article belongs to the Special Issue Physical and Mathematical Fluid Mechanics)
Based on the flow partition theory, we derive a mathematical expression by using the log-law for the characteristic point location (CPL) of depth average velocity in channels with flat or concave boundaries. It can manifest the position of the characteristic points in the vertical direction relative to the channel side wall or bed. Taking rectangular and semi-circular channels as research objects, we put forward a method to calculate the discharge of channels with CPL. Additionally, we carried out some experiments on rectangular and semi-circular channel sections. CPL’s analytic expression is validated against experimental results through comparison of velocity and discharge. The proposed formulation of characteristic point location could be extensively employed in flow measurements of flat and concave boundary channels, which has practical application value in simplifying the flow measurement steps of open channels. View Full-Text
Keywords: log-law; flow partitioning theory; characteristic point location; velocity; discharge log-law; flow partitioning theory; characteristic point location; velocity; discharge
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Li, T.; Chen, J.; Han, Y.; Ma, Z.; Wu, J. Study on the Characteristic Point Location of Depth Average Velocity in Smooth Open Channels: Applied to Channels with Flat or Concave Boundaries. Water 2020, 12, 430.

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