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The Influence of Dimensional and Dimensionless Parameters on the Dynamics of the Horseshoe Vortex Upstream of a Circular Cylinder

机译:尺寸参数和无量纲参数对圆柱体马蹄涡上游动力学的影响

摘要

Previous studies characterising horseshoe vortices upstream of circular cylinders in open channels have focused on changes in the Reynolds number. This study investigates the effect of the Froude number and other flow and geometrical parameters on the nature of the horseshoe vortex system that develops in front of a circular cylinder. The results show horseshoe vortex dynamics dominated by cylinder diameter, Froude number and flow depth. Instantaneous vorticity fields were classified into either two or three groups of vortex formations based on their turbulence stress magnitudes with a high dependence shown upon the Froude number and cylinder diameter. The peak stress properties of theudhorseshoe vortex system was found to be controlled within a certain threshold of Froude numbers (Fr ≤ 0.3 and Fr ≥ 1.7). It was also found that a single point under the horseshoe vortex can represent the vortices better than the whole field that encompasses the wholeudsystem. The characteristics of the horseshoe vortex formed upstream of a wall-mounted circular cylinder in an open channel were studied using two dimensional Particle Image Velocimetry. Experiments were conducted for different flow conditions and focused on Froude numbers, cylinder diameters, flow depths and bulk flow velocities. Two groups of experiments were conducted. The rest consisted of twenty five experiments with audwide range of Froude numbers, including sub-critical, critical and super-critical flow conditions.udThis group was analysed as a whole and then the lower sub-critical experiments followed by the upper sub-critical to super-critical experiments. Another set of nine sub-critical experiments were conducted focusing on the experimental design to segregate flow and geometrical parameters. Quadrant analysis was used to analyse the contribution of near-bed turbulent stresses in the region upstream of the cylinder. Applying multivariateudstatistical techniques, the relationship between geometrical parameters, flow conditions and the changes in the location and magnitude of the turbulent stresses under the horseshoe vortex were examined.udThis study, introduces the Froude number as a new governing parameter of the horseshoe vortex system, which can be important for fluvial systems with change of hydraulics regimes as mountainous rivers.
机译:以前关于明渠中圆柱体上游的马蹄形涡流特征的研究集中在雷诺数的变化上。这项研究调查了弗洛德数和其他流动参数以及几何参数对在圆柱体前方发展的马蹄涡流系统性质的影响。结果表明,马蹄涡动力学受圆柱直径,弗洛德数和流深影响。瞬时涡度场基于湍流应力大小被分为两组或三组涡流,其中高度依赖于弗洛德数和圆柱直径。发现 udhorseshoe涡流系统的峰值应力特性可以控制在一定的Froude数阈值(Fr≤0.3和Fr≥1.7)内。还发现,在马蹄涡旋下的单个点比包含整个 udsystem的整个场更好地表示涡旋。使用二维粒子图像测速技术研究了在明渠中壁挂式圆柱上游形成的马蹄涡的特性。针对不同的流动条件进行了实验,并着重于弗洛德数,圆柱直径,流动深度和整体流动速度。进行了两组实验。其余的包括25个实验,弗鲁德数范围广泛,包括次临界,临界和超临界流动条件。 ud对这一组进行了整体分析,然后进行了较低次临界实验,接着是较高次临界实验。临界至超临界实验。进行了另一组九个次临界实验,重点放在实验设计上,以分离流动和几何参数。象限分析用于分析圆柱体上游区域中近床湍流应力的贡献。应用多元统计技术,研究了几何参数,流动条件与马蹄涡下湍流应力的位置和大小变化之间的关系。 ud本研究介绍了弗洛德数作为马蹄涡的新控制​​参数。系统,这对于随着山地河流水力状况变化而对河流系统而言非常重要。

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    Al-Saffar Manar;

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  • 年度 2016
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