A thermal convection limit of spiral state in wide-gap spherical Couette flow
A thermal convection limit of spiral state in wide-gap spherical Couette flow
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DOI：
10.1063/5.0091287
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发表时间：
2022-03
影响因子：
4.6
通讯作者：
T. Itano;F. Goto;Kazuki Yoshikawa;M. Sugihara-Seki
中科院分区：
文献类型：
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作者：
T. Itano;F. Goto;Kazuki Yoshikawa;M. Sugihara-Seki
流动结构的对称性通常由其力学不稳定性和几何形状决定。在这里，作为一个例子，我们给出了旋转三重螺旋态的同伦，它在一个球形Couette流中是鲁棒的，指向具有热分层效应的混合系统。旋转波态与热分层系统的平滑连接尚未得到证实。通过延延，将纯球面Couette流的最危险模态$m=4$替换为纯热对流系统中的$l=4$和$m=3$。对于只考虑热效应的极限状态，详细讨论了外球转矩和经向环流的余量。
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.