Analytic stage-discharge formulae for flow in straight trapezoidal open channels
Analytic stage-discharge formulae for flow in straight trapezoidal open channels
复制标题
DOI：
10.1016/j.advwatres.2007.05.002
复制
发表时间：
2007-11-01
影响因子：
4.7
通讯作者：
Knight, Donald W.
中科院分区：
文献类型：
--
作者：
Liao, Huasheng;Knight, Donald W.
基于Shiono和Knight[Shiono K，Knight DW，变水深明渠紊流]给出的二维明渠流速解析分布，推导了直梯形明渠水流的水位流量解析公式。《流体力学杂志》1991；222：617-46]。提供了一种简单的手工计算方法。在推导这些解析公式时，使用了勒让德第一、第二类不完全椭圆积分和二项级数展开式，以及基于物理基础的水力参数，如局部摩擦系数(F)、无量纲涡粘性(Lambda)和二次流(Gamma)。由该公式得到的梯级流量计算结果与实验数据吻合较好，相应的速度和边界剪应力解析分布也与实验数据吻合较好。文中还讨论了f、λ和Gamma对阶段-流量关系的影响。(C)2007爱思唯尔有限公司。保留所有权利。
Analytic stage-discharge formulae are derived for flow in straight trapezoidal channels, based on the 2D analytic velocity distribution in open channels given by Shiono and Knight [Shiono K, Knight DW, Turbulent open-channel flows with variable depth across the channel. J Fluid Mech 1991;222:617-46]. A simple hand-calculation method is provided. Legendre incomplete elliptic integrals of the first and second kinds and a binomial series expansion are used in the derivation of these analytic formulae, together with physically based hydraulic parameters, such as local friction factor (f), dimensionless eddy viscosity (lambda) and secondary flow (Gamma). The stage-discharge results obtained from the formulae are shown to be in good agreement with experimental data, as are the corresponding analytic velocity and boundary shear stress distributions. The influences f, lambda and Gamma on the stage-discharge relationship are also discussed. (C) 2007 Elsevier Ltd. All rights reserved.