Tertiary and Quaternary States in the Taylor-Couette System
Tertiary and Quaternary States in the Taylor-Couette System
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泰勒-库埃特体系中的第三和第四态
DOI：
10.1016/j.chaos.2018.01.033
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
F. Busse
中科院分区：
文献类型：
--
作者：
T. Akinaga;S. Generalis;F. Busse
将小间隙极限下的泰勒-库埃特问题的分析推广到三次和四次解的情形。理论结果与实验观测进行了比较。虽然在后者的小间隙近似并不总是很好地近似，理论结果和观测结果的比较产生合理的协议。在所观察到的图案中的波浪状扭曲模式的情况下解释的无滑移边界条件的存在下，在实验装置的轴向方向，这不同于在理论分析中施加的周期性条件。四分之一的解决方案分叉从第三次通过分谐波不稳定性，并与实验观测进行比较。已达成合理协议。
The analysis of the Taylor-Couette problem in the small gap limit is extended to the cases of tertiary and quaternary solutions. The theoretical results are compared with experimental observations. Although in the latter the small-gap approximation is not always well approximated, the comparison of theoretical results and observations yields reasonable agreements. The absence of the wavy twist mode in the observed patterns is explained by the presence of no-slip boundary conditions in the axial direction of the experimental apparatus, which differ from the periodic conditions imposed in the theoretical analysis. Quaternary solutions bifurcating from the tertiary ones through subharmonic instabilities are presented and compared with experimental observations. Reasonable agreement has been found.