Analytic stage–discharge formulae for flow in straight trapezoidal open channels

Liao, Huasheng; Knight, Donald W.

doi:10.1016/j.advwatres.2007.05.002

Cited by 20 publications

(8 citation statements)

References 13 publications

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“…In analytical modelling, the parameters for secondary flow and eddy viscosity are crucial to ensure a precise representation to the compound channel flows. As proven in the calibration processes by Shiono and Knight [12], Tang and Knight [13,14,15], and Liao and Knight [3,4], those parameters significantly influenced the performance of modelling calculation, in particular at near-wall and section transitional regions. Through the calibration using the UK-FCF experimental data, this study obtains a set of calibrated secondary flow and dimensionless eddy viscosity parameters.…”

Section: Modelling Parametersmentioning

confidence: 97%

“…1, where it consists of two sections within the channel: deeper main-channel and shallower floodplain. Liao and Knight [3,4] discussed the boundary conditions produced by compound channel in which they suggested each section should possess separate constants , f and . This is because the velocity at the main-channel and floodplain is not continuous but affected from the region where the sections meet.…”

Section: Boundary Conditionsmentioning

confidence: 99%

“…The parameter was chosen to represent each section in those studies to ensure the appropriate flow representation at main-channel and floodplain. Liao and Knight [3] and [4] further investigated together with local friction factor (f) and dimensionless eddy viscosity ( ) for trapezoidal and rectangular compound channels respectively. They proved the importance of all these parameters in SKM model, in particular .…”

Section: Introductionmentioning

confidence: 99%

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Turbulent rectangular compound open channel flow study using multi-zonal approach

2018

Environ Fluid Mech

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In this paper, an improved Shiono-Knight model (SKM) has been proposed to calculate the rectangular compound open channel flows by considering a multi-zonal (MZ) approach in modelling turbulence and secondary flows across lateral flow direction. This is an effort to represent natural flows with compound shape more closely. The proposed model improves the estimation of secondary flow by original SKM model to increase the accuracy of depthaveraged velocity profile solution formed within the transitional region between different sections (i.e. between main-channel and floodplain) of compound channel. This proposed MZ model works by sectioning intermediate zones between floodplain and main-channel for running computation in order to improve the modelling accuracy. The modelling results have been validated using the experimental data by national UK Flood Channel Facility. It has been proven to work reasonably well to model secondary flows within the investigated compound channel flow cases and hence produce better representation to their flow lateral velocity profile.

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Section: Modelling Parametersmentioning

confidence: 97%

Section: Boundary Conditionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Turbulent rectangular compound open channel flow study using multi-zonal approach

2018

Environ Fluid Mech

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“…Xu et al (2004) studied the effects of friction factors and dimensionless eddy viscosity on the predicted accuracy based on laboratory experiments, and suggested some relationships for those two factors among different sub-sections. Liao and Knight (2007) developed Shiono and Knight's model and presented a hand calculation method. To improve the prediction of boundary shear stress, Knight et al (2007) divided the compound channel into several panels according to its turbulent structure, generally main channel, side slope and floodplain, with further sub-division possible if the presence of a number of secondary flow cells is expected.…”

Section: Introductionmentioning

confidence: 99%

Application of analytical solutions in trapezoidal compound channel flow

Chen

Guymer

Spence

et al. 2012

River Research & Apps

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The accuracy of predictions using an analytical model for a lateral depth varying open channel flow can be affected by the friction factor and the dimensionless eddy viscosity. In this paper, different approaches to determine these two parameters are discussed by comparing analytical results with experimental data obtained from a symmetrical trapezoidal compound open channel. To reflect different hydraulic characteristics along the wetted perimeter, the trapezoidal cross-section was divided into several sub-sections, and the friction factor in each sub-section was calculated with Manning's formula by adopting local hydraulic parameters. The wetted perimeters of main channel and side slope included the interface between panels to reflect the effects of the lateral momentum exchange. This approach is shown to be effective once the roughness coefficients and hydraulic radius in different sub-regions have been determined. The results show that the friction factor is the major parameter affecting the accuracy of the analytical solution. The effect of dimensionless eddy viscosity on the precision of predictions is much smaller, which means that for practical applications, the dimensionless eddy viscosity can be determined empirically. Inclusion of a term for secondary flows in the model can improve the prediction, especially in the transition from main channel to the floodplain. A reasonable prediction of the lateral distribution of depth mean Reynolds' stress in this region is obtained.

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“…In various fields, growth functions with an horizontal asymptote, such as Michaelis-Menten, Richards, Gompertz, Logistic, and Bridge functions, are commonly and widely used, e.g. agriculture [9,10,11,12,18], biology [1,8,19,20,31], economy [27], engineering [26], fishery [25], forestry [22,33,35], hydrology [2,3,5,6,7,13,21,32], medicine [15], and other areas of applied research [23,24,28]. These growth functions are characterized by an horizontal asymptote and a single inflection point [4].…”

Section: Introductionmentioning

confidence: 99%