Momentum Transfer–Equivalent States Assumption of the Apparent Shear Stress in Compound Open-Channel Flow
Publication: Journal of Hydraulic Engineering
Volume 148, Issue 8
Abstract
The use of apparent shear stress at the interface between the adjacent subregions of a cross section to represent the effect of momentum transfer is a common method for the one-dimensional calculation of compound open-channel flow. The apparent shear stress of the dividing lines is affected by the compound geometry and boundary conditions. The expressions of the apparent shear stress established with previous studies are very different. Empirical treatment was proposed in this study to simplify the expressions based on a momentum transfer–equivalent states assumption, in which (1) the apparent shear stress was assumed to be the difference of the momentum transfer from two sides of a dividing line, and (2) two assumed equivalent states were employed to define the equivalent value of the momentum transfer. The apparent shear stress could be calculated based on the deviation of the momentum transfer from its equivalent value. The new expressions were used to calculate the discharges and the boundary shear force. Comparisons between the calculated results based on different methods and the measured data showed that the proposed method improved the calculation of the subregion boundary shear force and the discharges in the compound cross sections.
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Data Availability Statement
The data of total discharge for all the series, the data of main channel discharge for part of the series (K&D, Yuen 1 and 2, FCF-1, FCF-S7, FCF-S6, ROS-Q, ROS-S, ORH, ROA-Q, RCC, TCC, and Khatua), and the data of boundary shear force for part of the series (K&D, Yuen 1, P&T, ROS-S, ROA-S, RCC, TCC, Khatua, and Patra) listed in Table 2 are available from the corresponding author upon reasonable request. Except the series of Senggai and Batu, which are field data, all the other data mentioned are laboratory data.
Acknowledgments
The authors gratefully acknowledge Professor Weiming Wu, Clarkson University, who provided valuable advice on this paper. The authors also would like to acknowledge the financial support from the National Natural Science Foundation of China (No. 41806104), and Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD) and Jiangsu Water Conservancy Science and Technology Project (2015024).
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Published In
Journal of Hydraulic Engineering
Volume 148 • Issue 8 • August 2022
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Jun 30, 2021
Accepted: Apr 28, 2022
Published online: Jun 7, 2022
Published in print: Aug 1, 2022
Discussion open until: Nov 7, 2022
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