Spiral vortices and Taylor vortices in the annulus between rotating cylinders and the effect of an axial flow.
Spiral vortices and Taylor vortices in the annulus between rotating cylinders and the effect of an axial flow.
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旋转圆柱体之间的环空中的螺旋涡流和泰勒涡流以及轴流的影响。
DOI：
10.1103/physreve.69.056309
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发表时间：
2004
期刊：
影响因子：
--
通讯作者：
A. Pinter
中科院分区：
文献类型：
--
作者：
C. Hoffmann;M. Lücke;A. Pinter
我们提出了数值模拟的旋涡出现通过主分叉出的非结构化的圆形Couette流在泰勒-Couette系统与反向旋转以及与同向旋转的气缸。完整的，时间依赖的Navier Stokes方程求解与有限差分和Galerkin方法的组合，为一个固定的轴向周期性长度的涡图案和一个有限的系统的纵横比12刚性非旋转端的半径比η =0.5的设置。详细阐述了方位波数为M=+/-1的螺旋涡和M=0的泰勒涡在结构、动力学、对称性、分叉和稳定性方面的差异，并进行了定量比较。在轴向周期系统和固定刚性端有限系统的模拟与实验螺旋数据进行了比较。在本文的第二部分中，我们确定了雷诺数在-40 ≤ Re ≤ 40范围内的外加轴向通流如何改变M=-1，0和1涡结构的上述性质。除其他事项外，我们调查时，左手或右手的螺旋或环面封闭的旋涡是首选。
We present numerical simulations of vortices that appear via primary bifurcations out of the unstructured circular Couette flow in the Taylor-Couette system with counter rotating as well as with corotating cylinders. The full, time dependent Navier Stokes equations are solved with a combination of a finite difference and a Galerkin method for a fixed axial periodicity length of the vortex patterns and for a finite system of aspect ratio 12 with rigid nonrotating ends in a setup with radius ratio eta=0.5. Differences in structure, dynamics, symmetry properties, bifurcation, and stability behavior between spiral vortices with azimuthal wave numbers M=+/-1 and M=0 Taylor vortices are elucidated and compared in quantitative detail. Simulations in axially periodic systems and in finite systems with stationary rigid ends are compared with experimental spiral data. In a second part of the paper we determine how the above listed properties of the M=-1, 0, and 1 vortex structures are changed by an externally imposed axial through flow with Reynolds numbers in the range -40< or =Re< or =40. Among other things we investigate when left handed or right handed spirals or toroidally closed vortices are preferred.