Transition to shear-driven turbulence in Couette-Taylor flow.
Transition to shear-driven turbulence in Couette-Taylor flow.
复制标题
DOI：
10.1103/physreva.46.6390
复制
发表时间：
1992-11
期刊：
影响因子：
--
通讯作者：
Daniel P. Lathrop;Jay Fineberg;H. Swinney
中科院分区：
文献类型：
--
作者：
Daniel P. Lathrop;Jay Fineberg;H. Swinney
本文对雷诺数为800 R1.23\ifmmode\times\else\texttimes\fi {}${10}^{6}$、半径比为0.7246的同心圆柱间湍流流动进行了实验研究。尽管预测的扭矩缩放作为雷诺数的幂律，高精度的扭矩测量显示没有雷诺数范围与固定的幂律。在R=1.3\ifmmode\times\else\texttimes\fi{}${10}^{4}$处，定义明确的非滞后转变的标志是扭矩的随雷诺数的变化。流动量，如轴向湍流扩散率，时间尺度与壁面剪应力的波动，和壁面剪应力的均方根波动及其时间导数都被证明是简单地与全球扭矩测量。以上的过渡，扭矩测量和观察到的时间尺度表明，这个封闭的流动系统和开放的壁有界剪切流，如管流，管道流，平板上的流动之间的密切对应关系。
Turbulent flow between concentric cylinders is studied in experiments for Reynolds numbers 800R1.23\ifmmode\times\else\texttimes\fi{}${10}^{6}$ for a system with radius ratio \ensuremath{\eta}=0.7246. Despite predictions for the torque scaling as a power law of the Reynolds number, high-precision torque measurements reveal no Reynolds-number range with a fixed power law. A well-defined nonhysteretic transition at R=1.3\ifmmode\times\else\texttimes\fi{}${10}^{4}$ is marked by a change in the Reynolds-number dependence of the torque. Flow quantities such as the axial turbulent diffusivity, the time scales asociated with the fluctuations of the wall shear stress, and the root-mean-square fluctuations of the wall shear stress and its time derivative are all shown to be simply related to the global torque measurements. Above the transition, the torque measurements and observed time scales indicate a close correspondence between this closed-flow system and open-wall--bounded-shear flows such as pipe flow, duct flow, and flow over a flat plate.