An analytical model for lateral depth-averaged velocity distributions along a meander in curved compound channels

Abstract

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Method for assessing discharge in meandering compound channels

“…Therefore, the conveyance capability at the middle cross-section is weaker than that at the apex. In addition, Liu et al (2014a) and Shiono and Muto (1998) have observed that the flow directions in the main channel and floodplain are the same at the apex section (CS1) and different at the middle cross-section (CS4). In summary, the flow pattern is uniform at the apex section, where the flow directions in the main channel and on the floodplain are the same.…”

“…At the apex section, the component of floodplain flow (V fp ) can be ignored because the angle between the streamwise direction and the flow direction is nearly 0° (Liu et al, 2014a). Therefore, the velocity parameter is…”

“…Therefore, f i is determined when the channel bed condition and the flow depth are given. Liu et al (2014a) used Equation 12 to predict f i in the meandering compound channel, and obtained accurate lateral distributions of depth-averaged velocity along a meander, thus demonstrating the predictive validity of Equation 12 for f i .…”

“…Method for assessing discharge in meandering compound channels Liu, Shan, Liu and Yang According to the generation mechanism of secondary flows in the meandering channel (Liu et al, 2014a), in the main channel the secondary currents consist of the original secondary current cell (V o ) enhanced by the centrifugal force (F c ) and the component of floodplain flow (V fp ). Liu et al (2014a) suggested …”

“…In addition, several two-dimensional (2D) and three-dimensional (3D) numerical models offer high-accuracy modelling performance in the curved channel (Guo et al, 2008;Jing et al, 2009;Morvan et al, 2002;Shao et al, 2003;Zarrati et al, 2005). Also, certain 2D analytical methods that model the lateral distribution of depth-averaged velocity at the apex section have been presented (Ervine et al, 2000;Huai et al, 2009;McGahey and Samuels, 2003) and, recently, a 2D analytical method capable of predicting lateral velocity profiles along a meander was proposed (Liu et al, 2014a). These models indicate that modelling work in a meandering channel is difficult because additional factors must be considered (Ervine et al, 1993).…”