Lyon Institute of Origins LabEx LIO, Université Claude BernardLyon 1, Villeurbanne, France.
Laboratoire de Mathématiques et Physique, University of Perpignan Via Domitia, Perpignan, France.
Philos Trans A Math Phys Eng Sci. 2023 May;381(2246):20220297. doi: 10.1098/rsta.2022.0297. Epub 2023 Mar 13.
Previous comparisons of experimental data with nonlinear numerical simulations of density stratified Taylor-Couette (TC) flows revealed nonlinear interactions of strato-rotational instability (SRI) modes that lead to periodic changes in the SRI spirals and their axial propagation. These pattern changes are associated with low-frequency velocity modulations that are related to the dynamics of two competing spiral wave modes propagating in opposite directions. In the present paper, a parameter study of the SRI is performed using direct numerical simulations to evaluate the influence of the Reynolds numbers, the stratification, and of the container geometry on these SRI low-frequency modulations and spiral pattern changes. The results of this parameter study show that the modulations can be considered as a secondary instability that are not observed for all SRI unstable regimes. The findings are of interest when the TC model is related to star formation processes in accretion discs. This article is part of the theme issue 'Taylor-Couette and related flows on the centennial of Taylor's seminal paper (Part 2)'.
先前对密度分层泰勒-库埃特（TC）流动的实验数据与非线性数值模拟的比较表明，层状旋转不稳定性（SRI）模式的非线性相互作用导致 SRI 螺旋及其轴向传播的周期性变化。这些模式变化与低频速度调制有关，而低频速度调制与在相反方向传播的两种竞争螺旋波模式的动力学有关。在本文中，使用直接数值模拟对 SRI 进行了参数研究，以评估雷诺数、分层和容器几何形状对这些 SRI 低频调制和螺旋模式变化的影响。该参数研究的结果表明，这些调制可以被视为二次不稳定性，而不是在所有 SRI 不稳定区域都能观察到的二次不稳定性。当 TC 模型与吸积盘中的恒星形成过程相关时，这些发现是很有意义的。本文是主题为“泰勒论文百年之际的泰勒-库埃特和相关流动（第 2 部分）”的一部分。
