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Stability and turbulent transport in Taylor-Couette flow from analysis of experimental data

机译：通过实验数据分析，泰勒-库埃特流中的稳定性和湍流传输

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This paper provides discussion and prescription about stability and transport in the Taylor-Couette experiment, a rotating shear flow with shear perpendicular to the rotation axis. Such geometry frequently occurs in geophysical or astrophysical context. The prescriptions we obtain are the result of a 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 they may be relevant to any 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 turbulent 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 determined by measurements in the case where the outer cylinder is at rest, the other one being a universal function deduced here from experimental fits. As a result, we obtain a general expression for the turbulent viscosity and compare it to existing prescriptions in the literature. Finally, throughout the paper we discuss the influence of additional effects such as stratification or magnetic fields. (c) 2005 American Institute of Physics.
机译：本文提供了有关泰勒-库埃特实验中的稳定性和传输的讨论和处方，泰勒-库埃特实验是一种剪切力垂直于旋转轴的旋转剪切流。这种几何形状经常发生在地球物理或天体物理学的背景下。我们获得的处方是对泰勒-库埃特流向湍流过渡和湍流迁移的若干研究中获得的实验数据进行详细分析的结果。首先，我们基于动态而非几何考虑，引入了一组新的控制参数，因此它们通常可能与任何旋转剪切流有关，而不仅与Taylor-Couette流有关。然后，我们研究超临界和亚临界状态下的过渡阈值，以提取它们对控制参数的一般依赖性。对平均轮廓的检查为我们提供了湍流与层流剪切比的一些一般性提示。然后，通过检查扭矩数据，我们可以从两个方面提出与控制参数有关的扭矩分解，其中一个完全由外缸静止时的测量值确定，另一个是此处推导的通用函数来自实验拟合。结果，我们获得了湍流粘度的一般表达式，并将其与文献中的现有处方进行了比较。最后，在整篇文章中，我们讨论了分层效应或磁场等附加效应的影响。 （c）2005年美国物理研究所。

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