The strato-rotational instability of channel flows

本项目的重点是旋转稳定性机制与密度分层相关机制的相互作用。然而，随着最近的揭示，瑞利稳定流可以变得不稳定，在足够大的雷诺数（Deguchi Phys. Rev. E 95 021102（R）2017），人们认为首先探索和澄清这种新的不稳定机制是有意义的，因为尚不清楚它是否与曲率或旋转内在相关。因此，我们考虑泰勒-迪恩流，采用该问题的非传统数学公式，其中可以控制剪切、曲率和旋转的影响。这个问题本身是有趣的，但也允许调查这种新机制与分层的相互作用。

This project focuses on the interaction of rotational stability mechanisms with those associated with density stratification. However, following the recent revelation that Rayleigh-stable flows can become unstable at sufficiently large Reynolds numbers (Deguchi Phys. Rev. E 95 021102(R) 2017), it was considered of interest to first explore and clarify this new instability mechanism, since it is not clear whether it is intrinsically related to curvature or rotation.We are thus considering a Taylor-Dean flow, adopting a non-traditional mathematical formulation of this problem in which the effects of shear, curvature and rotation can be controlled. The problem is of interest for its own sake, but also permits an investigation of the interaction of this new mechanism with stratification.