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BIFURCATION CHARACTERISTICS OF FLOWS IN RECTANGULAR SUDDEN EXPANSION CHANNELS

机译:矩形突发膨胀通道流动的分岔特性

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The effect of three-dimensionality on low Reynolds number flows past a symmetric sudden expansion in a channel was investigated. The geometric expansion ratio of in the current study was 2:1 and the aspect ratio was 6:1. Both experimental velocity measurements and two- and three-dimensional simulations for the flow along the centerplane of the rectangular duct are presented for Reynolds numbers in the range of 150 to 600. Comparison of the two-dimensional simulations with the experiments revealed that the simulations fail to capture completely the total expansion effect on the flow, which couples both geometric and hy-drodynamic effects. To properly do so requires the definition of an effective expansion ratio, which is the ratio of the downstream and upstream hydraulic diameters and is therefore a function of both the expansion and aspect ratios. When the two-dimensional geometry was consistent with the effective expansion ratio, the new results agreed well with the three-dimensional simulations and the experiments. Furthermore, in the range of Reynolds numbers investigated, the laminar flow through the expansion underwent a symmetry-breaking bifurcation. The critical Reynolds number evaluated from the experiments and the simulations was compared to other values reported in the literature. Overall, side-wall proximity was found to enhance flow stability, helping to sustain laminar flow symmetry to higher Reynolds numbers in comparison to nominally two-dimensional double-expansion geometries. Lastly, and most importantly, when the logarithm of the critical Reynolds number from all these studies was plotted against the reciprocal of the effective expansion ratio, a linear trend emerged that uniquely captured the bifurcation dynamics of all symmetric double-sided planar expansions.
机译:三维性对低雷诺数的影响,研究了渠道中的对称突然扩张。目前研究的几何膨胀比为2:1,纵横比为6:1。对于矩形管道的中心平面的实验速度测量和用于沿矩形管道的速度的两维和三维模拟,用于雷诺数在150至600的范围内。二维模拟与实验的比较揭示了模拟失败为了完全捕获对流量的总膨胀效果,耦合几何和性流体效应。为了正确这样做,需要有效的膨胀比的定义,这是下游和上游液压直径的比率,因此是膨胀和纵横比的函数。当二维几何形状与有效的膨胀率一致时,新结果与三维模拟和实验相同。此外,在研究的雷诺数的范围内,通过膨胀的层流动经历了对称性分叉的分叉流动。将从实验和模拟评估的关键雷诺数与文献中报告的其他值进行比较。总体而言,发现与名义上二维双膨胀几何形状相比,有助于维持流动稳定性,帮助维持层流量对称到更高的雷诺数。最后,最重要的是,当符合所有这些研究的关键雷诺数的对数符合有效膨胀率的倒数时,出现了线性趋势,唯一捕获了所有对称双面平面扩展的分叉动力学。

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