The development of turbulent boundary layers with negligible wall stress
The development of turbulent boundary layers with negligible wall stress
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壁应力可忽略不计的湍流边界层的发展
DOI：
10.1017/s0022112060000487
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发表时间：
1960
影响因子：
3.7
通讯作者：
A. Townsend
中科院分区：
文献类型：
--
作者：
A. Townsend
在最近的一篇论文中，Stratford描述了一个具有连续零壁应力的湍流边界层，并基于两个假设发展了一个描述流动的理论。一是在初始发展过程中，层外部分的流动只受原始雷诺应力的影响；二是靠近壁面的平衡层的流动由压力梯度决定，与上游条件无关。在本文中，使用了相同的假设，但更仔细地考虑了它们的局限性，从而消除了原始工作中的一些不一致之处，并形成了一个理论，该理论可以更好地描述某些实验结果。主要结果是：(i)在足够强度的逆压梯度下零壁应力的准则，（ii）零应力自保流的压力分布形式，（iii）该流的平均速度分布，（iv）零应力壁面附近流动的“平方根”速度分布常数的估计。
In a recent paper, Stratford has described a turbulent boundary layer with continuously zero wall stress and has developed a theory to describe the flow based on two assumptions. The first is that the flow in the outer part of the layer is affected only by the original Reynolds stresses during the initial development, and the second is that flow in the equilibrium layer close to the wall is determined by the pressure gradient and is independent of upstream conditions. In this paper the same assumptions are used, but more careful consideration of their limitations has led to the elimination of some inconsistencies in the original work and to a theory that gives a better description of some of the experimental results. The principal results are: (i) a criterion for zero wall stress in an adverse pressure gradient of sufficient strength, (ii) the form of the pressure distribution for a self-preserving flow with zero stress, (iii) the mean velocity distribution in this flow, (iv) an estimate of the constant in the 'square-root’ velocity distribution for flow near a wall with zero stress.