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Computation of vertically averaged velocities in irregular sections of straight channels

机译:直通道不规则截面的垂直平均速度的计算

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摘要

Two new methods for vertically averaged velocity computation are presented, validated and compared with other available formulas. The first method derives from the well-known Huthoff algorithm, which is first shown to be dependent on the way the river cross section is discretized into several subsections. The second method assumes the vertically averaged longitudinal velocity to be a function only of the friction factor and of the so-called "local hydraulic radius", computed as the ratio between the integral of the elementary areas around a given vertical and the integral of the elementary solid boundaries around the same vertical. Both integrals are weighted with a linear shape function equal to zero at a distance from the integration variable which is proportional to the water depth according to an empirical coefficient β. Both formulas are validated against (1) laboratory experimental data, (2) discharge hydrographs measured in a real site, where the friction factor is estimated from an unsteady-state analysis of water levels recorded in two different river cross sections, and (3) the 3-D solution obtained using the commercial ANSYS CFX code, computing the steady-state uniform flow in a cross section of the Alzette River.
机译:提出,验证了两种新的垂直平均速度计算方法,并将其与其他可用公式进行了比较。第一种方法源自众所周知的Huthoff算法,该算法首先显示为取决于将河流横截面离散为几个小部分的方式。第二种方法假定垂直平均纵向速度仅是摩擦系数和所谓的“局部水力半径”的函数,该系数是围绕给定垂直方向的基本区域的积分与水平方向的积分之间的比率计算得出的。基本垂直线周围的实体边界。根据经验系数β,在距积分变量一定距离处与水深成比例的距离处,使用等于零的线性形状函数对两个积分进行加权。这两个公式都针对(1)实验室实验数据,(2)在实际站点中测量的排放水线图进行了验证,其中摩擦系数是根据对两个不同河段中记录的水位的非稳态分析进行估算的,以及(3)使用商业ANSYS CFX代码获得的3-D解决方案,用于计算阿尔泽特河断面的稳态均匀流量。

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