Influence of Downstream Channel Width on Flow Features in a T-Shaped Open-Channel Confluence

T. Jin, P. X. Ramos, E. Mignot, N. Riviere, T. De Mulder
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Abstract

Open-channel confluences are important junctions in natural and human-made channel networks. Different controls of the confluence hydrodynamics have already been studied intensively, often in schematized geometrical configurations. The T-shaped planform with branches having rectangular cross-sections of equal width is a popular geometry in lab experiments and numerical modeling. However, limited research has been conducted concerning the influence on the flow features of widening or narrowing the downstream branch in such a confluence. Therefore, four geometrical cases with a different downstream channel width were studied with large eddy simulations, while keeping the tributary-dominant discharge ratio, the width of the upstream branches, and the tailwater depth constant. The effect of increasing the downstream-to-upstream branch width ratio was analyzed with regard to the water surface shape, the stagnation zone location, the tributary inflow angles at the interface with the junction, the separation zone dimensions, the flow acceleration toward the vena contracta, the secondary flow patterns and intensity, the turbulent kinetic energy in the shear layers, the bed shear stresses and the backwater effects in the upstream branches. When comparing the numerically predicted upstream-to-downstream water depth ratios with those predicted by the single analytical model applicable to confluences with unequal channel widths, it is found that both models capture the reduction of the upstream-to-downstream water depth ratios when widening the downstream branch, but benchmark cases show that the numerical model predicts the correct relative magnitude of the water depth ratios in the main channel and the tributary channel, contrary to the analytical model.
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下游河道宽度对t形明渠汇合处水流特征的影响
明渠汇合处是自然水道网和人工水道网的重要枢纽。汇流流体力学的不同控制已经得到了深入的研究,通常是在示意图的几何构型中。具有等宽矩形截面分支的t形平台是实验室实验和数值模拟中常用的几何形式。然而,对于该合流中加宽或缩小下游分支对水流特征的影响,研究有限。因此,在保持支流优势流量比、上游支流宽度和尾水深度不变的情况下,采用大涡模拟方法研究了4种不同下游河道宽度的几何情况。从水面形状、滞止区位置、支流入流角、分离带尺寸、流向收缩静脉加速、二次流形态和强度、剪切层湍流动能、床层剪切应力和上游分支回水效应等方面分析了增加上下游分支宽度比的影响。将河道宽度不等的汇合处的上下游水深比数值预测结果与单一解析模型预测结果进行比较,发现两种模型都能捕捉到下游支流加宽时上下游水深比的减小,但基准算例表明,数值模型预测的主支流和支流的水深比相对大小是正确的。与分析模型相反。
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