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Second Log-Wake Law from Pipe Symmetry and its Applications in Symmetric and Antisymmetric Channel Flows

机译:来自管道对称的第二个记录法及其在对称和反对称通道流中的应用

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The velocity distribution of turbulent pipe flow is often described by the Coles log-wake law that is a superposition of the law of the wall due to the wall shear stress and the law of the wake due to the free turbulence at the centerline. Yet, the log-wake law does not meet the pipe symmetry principle because it includes only the effects of the wall-induced turbulence at the invert (the log law) and the free turbulence at the pipe centerline (the wake law), it misses the effect of the wall-induced turbulence at the obvert. This research then adds an additional log term due to the pipe obvert to the Coles log-wake law and innovates a second log-wake law. The slight modification of the Coles log-wake law results in a significant change in the eddy viscosity law that leads to an accurate antisymmetric velocity distribution law (including a sine integral wake law) for turbulent Couette channel flow. These laws agree with data from pipes, symmetric channel flow, and antisymmetric channel flow. Furthermore, this research can lead to a new path to solving open channel flow, which is discussed in a separate paper.
机译:湍流管流的速度分布通常由小组对数唤醒定律描述,该定律是由于墙壁剪切应力和由于中心线的自由湍流而导致墙壁的定律叠加。然而,Log-Wake Law不符合管道对称原理,因为它仅包括墙壁引起的湍流在反转(日志法)和管道中心线(苏醒法)的自由湍流的效果,它错过了壁诱导湍流在橡木处的影响。然后,该研究由于管道橡木橡皮唤醒定律又创新,因此该研究增加了一个额外的日志项,并创新了第二个日志唤醒法。 Coles Log-Wake法的轻微修改导致涡粘度律的显着变化,导致湍流耦合通道流动的准确的反对速度分布法(包括正弦整体尾部法律)。这些法律与来自管道,对称通道流和反对称通道流的数据一致。此外,该研究可以导致求解开放通道流的新路径,该流动在单独的纸张中讨论。

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