Jeganathan Vignesh, Alba Kamran, Ostilla-Mónico Rodolfo
Department of Mechanical Engineering, University of Houston, Houston, TX 77004, USA.
Department of Engineering Technology, University of Houston, Houston, TX 77004, USA.
Philos Trans A Math Phys Eng Sci. 2023 Mar 20;381(2243):20220130. doi: 10.1098/rsta.2022.0130. Epub 2023 Jan 30.
Since Taylor's seminal paper, the existence of large-scale quasi-axisymmetric structures has been a matter of interest when studying Taylor-Couette flow. In this article, we probe their formation in the highly turbulent regime by conducting a series of numerical simulations at a fixed Reynolds number [Formula: see text] while varying the Coriolis parameter to analyse the flow characteristics as the structures arise and dissipate. We show how the Coriolis force induces a one-way coupling between the radial and azimuthal velocity fields inside the boundary layer, but in the bulk, there is a two-way coupling that causes competing effects. We discuss how this complicates the analogy of narrow-gap Taylor-Couette to other convective flows. We then compare these statistics with a similar shear flow without no-slip boundary layers, showing how this double coupling causes very different effects. We finish by reflecting on the possible origins of turbulent Taylor rolls. This article is part of the theme issue 'Taylor-Couette and related flows on the centennial of Taylor's seminal paper (part 1)'.
自泰勒的开创性论文发表以来，在研究泰勒-库埃特流时，大规模准轴对称结构的存在一直备受关注。在本文中，我们通过在固定雷诺数[公式：见正文]下进行一系列数值模拟，同时改变科里奥利参数，来探究它们在高湍流状态下的形成过程，以便在这些结构出现和消散时分析流动特性。我们展示了科里奥利力如何在边界层内的径向和方位速度场之间诱导单向耦合，但在主体区域，存在双向耦合，会产生相互竞争的效应。我们讨论了这如何使窄间隙泰勒-库埃特流与其他对流流动的类比变得复杂。然后，我们将这些统计数据与没有无滑移边界层的类似剪切流进行比较，展示这种双重耦合如何产生非常不同的效果。最后，我们思考了湍流泰勒涡旋可能的起源。本文是主题为“泰勒开创性论文发表一百周年之际的泰勒-库埃特流及相关流动（第1部分）”的一部分。
