论文标题

宽间隙球形枪口流中螺旋状态的热对流极限

A thermal convection limit of spiral state in wide-gap spherical Couette flow

论文作者

Itano, Tomoaki, Goto, Fumitoshi, Yoshikawa, Kazuki, Sugihara-Seki, Masako

论文摘要

流量结构的对称性通常由它们的机械不稳定性和几何形状规定。例如,在这里,我们介绍了旋转3倍螺旋状态的同质,该螺旋状态在球形轴向流向杂种系统具有热分层效果的情况下是可靠的。尚未确认旋转波状态平稳地连接到热分层系统。通过延续,在纯球形的球形流动流量的最危险模式为$ M = 4 $的球形谐波被$ L = 4 $和$ M = 3 $取代,纯粹是热对流系统。对于仅在热效应下以极限获得的状态,详细讨论了外球体和子午循环的扭矩的剩余量。

The symmetries of flow structures are often prescribed by their mechanical instability and geometry. Here, as an example, we present the homotopy of the rotating 3-fold spiral state that is robust in a spherical Couette flow towards the hybrid system with a thermal stratification effect. It has not yet been confirmed that the rotating wave state smoothly connects to the thermal stratification system. Through continuation, the most dangerous mode at a purely spherical Couette flow of $m=4$ modes of spherical harmonics is replaced by $l=4$ and $m=3$ in a purely thermal convective system. For the state obtained at the limit under only the thermal effect, the residual quantities of both the torque to the outer sphere and meridional circulation are discussed in detail.

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