Abstract In the present work, turbulent flow in the annulus of a counter-rotating Taylor-Couette (CRTC) system is studied using large-eddy simulation. The numerical methodology employed is validated, for both the mean and second-order statistics, with the direct numerical simulation (DNS) data available in the literature, for a range of Reynolds numbers from 500 to 4000. Thereafter, turbulent flow occurring in this system at Reynolds numbers of 8000 and 16000 are studied, and the results obtained are analyzed using mean and second-order statistics, vortical structures, velocity vector plots and power energy spectra. Further, the spatio-temporal variation of azimuthal velocity, extracted near the inner cylinder, shows the existence of herringbone like patterns similar to that observed in the previous studies. The effect of eccentricity of the inner cylinder with respect to the outer cylinder is studied, on the turbulent flow in the CRTC system, for two different eccentricity ratios of 0.2 and 0.5 and for two different Reynolds numbers of 1500 and 4000. The results of the eccentric CRTC are analyzed using contours of pressure, mean and second-order statistics, velocity vectors, vortical structures, and turbulence anisotropy maps. It is observed from the eccentric CRTC simulations that the smaller-gap region seems to contain higher amplitude fluctuations and more vortical structures when compared with the larger-gap region. The mean turbulent kinetic energy contours do not change qualitatively with the Reynolds number, however, quantitatively a higher turbulent kinetic energy is observed in the higher Reynolds number case of 4000.

中文翻译：

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反向旋转 Taylor-Couette 流的大涡模拟：角速度和偏心率的影响

摘要 在目前的工作中，使用大涡模拟研究了逆向旋转 Taylor-Couette (CRTC) 系统的环空中的湍流。使用文献中可用的直接数值模拟 (DNS) 数据对平均和二阶统计数据采用的数值方法进行了验证，雷诺数范围从 500 到 4000。此后，该系统中发生湍流研究了雷诺数为 8000 和 16000 的情况，并使用均值和二阶统计量、涡流结构、速度矢量图和功率能谱分析了所得结果。此外，在内圆柱附近提取的方位角速度的时空变化表明存在类似于先前研究中观察到的人字形图案。研究了内圆柱相对于外圆柱的偏心对 CRTC 系统中湍流的影响，两种不同的偏心比为 0.2 和 0.5，两种不同的雷诺数为 1500 和 4000。使用压力等值线、平均和二阶统计量、速度矢量、涡流结构和湍流各向异性图分析偏心 CRTC。从偏心 CRTC 模拟中观察到，与较大间隙区域相比，较小间隙区域似乎包含更高的幅度波动和更多的涡旋结构。平均湍流动能等高线不随雷诺数发生质的变化，但是，在雷诺数较高的 4000 情况下，在数量上观察到更高的湍动能。