Analytic Stage-Discharge Formulas for Flow in Straight Prismatic Channels |
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Authors: | Huasheng Liao Donald W. Knight |
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Affiliation: | 1Professor, State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan Univ., Chengdu, Sichuan 610065, P.R. China. E-mail: liao@msu.edu 2Professor, Dept. of Civil Engineering, The Univ. of Birmingham, Edgbaston, Birmingham B15 2TT, U.K. (corresponding author). E-mail d.w.knight@bham.ac.uk
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Abstract: | Three analytic stage-discharge formulas, suitable for hand calculation, have been derived for prismatic open channels. The three types of prismatic geometry investigated are: simple rectangular, symmetric, and asymmetric rectangular compound channels. The formulas include three key parameters that govern the local friction factor, eddy viscosity, and secondary flow. The discharge results and the corresponding analytic depth-averaged velocity and bed shear stress distributions show good agreement with the experimental data, even when constant parameter values are assumed. The influence of these three parameters on the stage-discharge relationships is explored. |
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Keywords: | Boundary shear Channel flow Mathematical models River flow Turbulent flow Velocity distribution Prisms |
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