Stability and turbulent transport in Taylor-Couette flow from analysis of experimental data
Stability and turbulent transport in Taylor-Couette flow from analysis of experimental data
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DOI：
10.1063/1.2008999
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发表时间：
2005-09
影响因子：
4.6
通讯作者：
B. Dubrulle;O. Dauchot;F. Daviaud;P. Longaretti;D. Richard;J. Zahn
中科院分区：
文献类型：
--
作者：
B. Dubrulle;O. Dauchot;F. Daviaud;P. Longaretti;D. Richard;J. Zahn
本文提供了一个处方的湍流粘度在旋转剪切流的使用，例如在地球物理和天体物理的背景下。该公式是对泰勒-库埃特流中向湍流转变和湍流输运的几项研究中获得的实验数据进行详细分析的结果。我们首先介绍了一组新的控制参数，动力学的基础上，而不是几何的考虑，使分析更自然地适用于旋转剪切流一般，而不仅仅是泰勒-库埃特流。然后，我们调查的过渡阈值在超临界和亚临界制度，以提取其一般依赖于控制参数。对平均剖面的检查为我们提供了一些关于平均与层流剪切比的一般性提示。然后检查的扭矩数据允许我们提出一个分解的扭矩依赖于控制参数的两个方面，一个完全由测量的情况下，外圆柱体是在休息，另一个是一个通用的功能，这里提供的实验拟合。由此得到了湍流粘性的一般表达式，并与文献中已有的公式进行了比较。最后，在所有的文件，我们讨论了额外的影响，如分层或磁场。
This paper provides a prescription for the turbulent viscosity in rotating shear flows for use e.g. in geophysical and astrophysical contexts. This prescription is the result of the detailed analysis of the experimental data obtained in several studies of the transition to turbulence and turbulent transport in Taylor-Couette flow. We first introduce a new set of control parameters, based on dynamical rather than geometrical considerations, so that the analysis applies more naturally to rotating shear flows in general and not only to Taylor-Couette flow. We then investigate the transition thresholds in the supercritical and the subcritical regime in order to extract their general dependencies on the control parameters. The inspection of the mean profiles provides us with some general hints on the mean to laminar shear ratio. Then the examination of the torque data allows us to propose a decomposition of the torque dependence on the control parameters in two terms, one completely given by measurements in the case where the outer cylinder is at rest, the other one being a universal function provided here from experimental fits. As a result, we obtain a general expression for the turbulent viscosity and compare it to existing prescription in the literature. Finally, throughout all the paper we discuss the influence of additional effects such as stratification or magnetic fields.