Logarithmic boundary layers in strong Taylor-Couette turbulence.
Logarithmic boundary layers in strong Taylor-Couette turbulence.
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DOI：
10.1103/physrevlett.110.264501
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发表时间：
2013-06
影响因子：
8.6
通讯作者：
S. Huisman;S. Scharnowski;C. Cierpka;C. Kähler;D. Lohse;Chao Sun-
中科院分区：
文献类型：
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作者：
S. Huisman;S. Scharnowski;C. Cierpka;C. Kähler;D. Lohse;Chao Sun-
我们使用高分辨率粒子图像测速和粒子跟踪测速提供了高湍流泰勒-库埃特流（Re=2×106） （Ta=6.2×10(12)）的边界层特性的直接测量。我们发现，内、外圆柱体的平均方位速度分布可以用von Kármán对数定律u+=1/κ lny+ +B拟合。发现von Kármán常数κ依赖于驱动强度Ta，并且对于大Ta渐近接近κ≈0.40。局部方位速度的变化曲线在y+≈12附近有一个普遍的峰值，当用驱动速度（而不是摩擦速度）重新标度时，变化曲线崩溃，表现出与y+的对数依赖关系，通道和管道流动也发现了这一点。
We provide direct measurements of the boundary layer properties in highly turbulent Taylor-Couette flow up to Re=2×106) (Ta=6.2×10(12)) using high-resolution particle image velocimetry and particle tracking velocimetry. We find that the mean azimuthal velocity profile at the inner and outer cylinder can be fitted by the von Kármán log law u+=1/κ lny+ +B. The von Kármán constant κ is found to depend on the driving strength Ta and for large Ta asymptotically approaches κ≈0.40. The variance profiles of the local azimuthal velocity have a universal peak around y+≈12 and collapse when rescaled with the driving velocity (and not with the friction velocity), displaying a log dependence of y+ as also found for channel and pipe flows.