ANOMALOUS MODES IN THE TAYLOR EXPERIMENT
ANOMALOUS MODES IN THE TAYLOR EXPERIMENT
复制标题
DOI：
10.1098/rspa.1981.0122
复制
发表时间：
1981-01-01
期刊：
影响因子：
--
通讯作者：
MULLIN, T
中科院分区：
文献类型：
--
作者：
BENJAMIN, TB;MULLIN, T
实验研究和理论评价，扩大了以前的观察多个稳定的流动在泰勒装置中的流体填充的环空是比较短的。实验的目的是系统地探索该装置中的所有异常模式，即仅在足够高的雷诺数R下存在的稳定流动，并且总是与由R从小值逐渐增加而产生的主流不同。反常模在高R下建立后，如果R逐渐减小，最终总是会崩溃。与实验解释有关的理论材料在§2中进行了回顾，其中数学细节在很大程度上被推迟，但证明了几个新的结论。特别是，揭示了一些奇怪的事实，包括偶数的泰勒细胞的异常模式的稳定性的限制，以及有关的流量，包括一个单一的细胞的属性。在§ 3中对装置进行了描述，其中包括自早期实验以来所引入的几项改进，新的实验结果在§ 4中报道。它们包括由2到7个泰勒胞组成的反常模式的稳定性曲线（临界R对环的纵横比）（§ 4.1），对所有这些模式的崩溃路线的观察（§ 4.3），以及对单胞模式表现出的各种现象的测量（§ 4.5）。这里首次记录的这些现象和其他现象被认为是与理论计划书雅阁的。
An experimental investigation and a theoretical appraisal are presented which enlarge upon previous observations of multiple steady flows in a Taylor apparatus where the fluid-filled annulus is comparatively short. The aim of the experiments was a systematic exploration of all anomalous modes in this apparatus, namely those stable flows that exist only at sufficiently high Reynolds numberRand are always distinct from the primary flow developed by gradually increasingRfrom small values. Having been established at highR, an anomalous mode will always collapse eventually ifRis then gradually reduced. The theoretical material bearing on the interpretation of the experiments is reviewed in §2, where mathematical details are largely deferred but several new conclusions are demonstrated. In particular, some curious facts are revealed about the limits of stability for anomalous modes comprising even numbers of Taylor cells, and about the properties of flows comprising a single cell only. Following a description of the apparatus in § 3, which includes an account of several improvements that have been introduced since the earlier experiments, the new experimental results are reported in § 4. They include stability curves (criticalRagainst aspect ratio of annulus) for anomalous modes consisting of from two to seven Taylor cells (§ 4.1), observations on collapse routes for all these modes (§ 4.3), and measurements of various phenomena exhibited by the single-cell mode (§ 4.5). These and other phenomena recorded here for the first time are seen to accord with the theoretical prospectus.