Characterization of the hairpin vortex solution in plane Couette flow.
Characterization of the hairpin vortex solution in plane Couette flow.
复制标题
平面库埃特流中发夹涡解决方案的表征。
DOI：
10.1103/physreve.82.066308
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发表时间：
2010
期刊：
影响因子：
--
通讯作者：
T. Itano
中科院分区：
文献类型：
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作者：
S. Generalis;T. Itano
确定发夹涡旋状态 (HVS) 存在的定量证据 [T. Itano 和 S. C. Generalis，物理学家。莱特牧师。 102, 114501 (2009)] 这项工作提供了平面库埃特流 (PCF)。本文提供的证据表明，HVS 可以通过具有简单几何结构的流（即横向加热流（LHF））的同伦获得。尽管之前已经研究过 LHF 分叉的早期阶段，但我们的线性稳定性分析表明，LHF 中的根通过对称性破缺产生多个分支。这些分支连接到 PCF 流形作为稳定的非线性振幅解。此外，我们表明 HVS 具有通往瑞利-贝纳德对流的直接分叉路线。
Quantitative evidence that establishes the existence of the hairpin vortex state (HVS) [T. Itano and S. C. Generalis, Phys. Rev. Lett. 102, 114501 (2009)] in plane Couette flow (PCF) is provided in this work. The evidence presented in this paper shows that the HVS can be obtained via homotopy from a flow with a simple geometrical configuration, namely, the laterally heated flow (LHF). Although the early stages of bifurcations of LHF have been previously investigated, our linear stability analysis reveals that the root in the LHF yields multiple branches via symmetry breaking. These branches connect to the PCF manifold as steady nonlinear amplitude solutions. Moreover, we show that the HVS has a direct bifurcation route to the Rayleigh-Bénard convection.