The strato-rotational instability of channel flows

该项目侧重于旋转稳定机制与密度分层相关机制的相互作用。然而，根据最近的发现，瑞利稳定流在足够大的雷诺数下会变得不稳定（Deguchi物理学）。Rev. E 95 021102(R) 2017)，由于尚不清楚它是否与曲率或旋转内在相关，因此首先探索和澄清这种新的不稳定性机制被认为是有兴趣的。因此，我们正在考虑泰勒-迪安流，采用一种非传统的数学公式来解决这个问题，其中剪切、曲率和旋转的影响是可以控制的。这个问题本身就令人感兴趣，但也允许对这种新机制与分层的相互作用进行调查。

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.