Abstract

An analytical model was developed to predict the boundary shear stress and the depth-averaged streamwise velocity in the breach. A more general expression of the depth-integrated form of the streamwise Reynolds averaged Navier-Stokes (RANS) equation was rewritten by considering the secondary flow effects. It accounts for secondary flow effects via the dimensionless secondary flow parameters k₁ and k₂. The averaged lateral shear stress, the bottom shear stress and the depth-averaged streamwise velocity of the breach was obtained. According to sensitivity analysis of parameters, it is obtained that the secondary flow parameter k₂ has a great influence on the averaged lateral shear stress, but few influences on the bottom shear stress and the depth-averaged streamwise velocity. The dimensionless streamwise velocity variation parameter c₁ has great influences on the averaged lateral shear stress, bottom shear stress and the depth-averaged streamwise velocity. Comparison of the analytical results with experimental data shows that the proposed model predicts the averaged lateral shear stress and the bottom shear stress well.

中文翻译：

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对裂口中的边界剪应力和深度平均流向速度进行建模

摘要

开发了一个分析模型来预测裂缝中的边界剪切应力和深度平均流向速度。通过考虑二次流效应，重写了流向雷诺平均 Navier-Stokes (RANS) 方程的深度积分形式的更一般表达式。它通过无量纲二次流参数k ₁和k ₂来考虑二次流效应。获得了裂口的平均横向剪应力、底部剪应力和深度平均的流向速度。根据参数敏感性分析，得到二次流参数k ₂对平均横向剪应力影响较大，对底部剪应力和深度平均流向速度影响不大。无量纲流向速度变化参数c ₁对平均横向剪应力、底部剪应力和深度平均流向速度有很大影响。分析结果与实验数据的比较表明，所提出的模型对平均横向剪应力和底部剪应力进行了很好的预测。