The strato-rotational instability of channel flows

河道流的平转不稳定性

• 批准号: 21K03878
• 负责人: Wall Darren
• 金额: $ 2.66万
• 依托单位: Kyushu University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2021
• 资助国家: 日本
• 起止时间: 2021-04-01 至 2024-03-31
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-21K03878/
• 关键词: Taylor-Dean flow; stratorotational; stratified flow; rotation; channel flow

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.

该项目重点研究旋转稳定机制与密度分层相关机制的相互作用。然而，最近发现瑞利稳定流在足够大的雷诺数下可能变得不稳定 (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，因为目前尚不清楚它是否与曲率或旋转有内在联系。因此，我们正在考虑泰勒-迪恩流，采用该问题的非传统数学公式，其中剪切、曲率和旋转的影响是可以控制的。这个问题本身就很有趣，但也允许研究这种新机制与分层的相互作用。