THE STUDY OF FLOW PAST MULTIPLE CYLINDERS AT HIGH REYNOLDS NUMBERS

Li Congzhou; Zhang Xinshu; Hu Xiaofeng; Li Wei; You Yunxiang

doi:10.6052/0459-1879-17-346

Volume 50 Issue 2

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Li Congzhou, Zhang Xinshu, Hu Xiaofeng, Li Wei, You Yunxiang. THE STUDY OF FLOW PAST MULTIPLE CYLINDERS AT HIGH REYNOLDS NUMBERS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(2): 233-243. doi: 10.6052/0459-1879-17-346

Citation:

Li Congzhou, Zhang Xinshu, Hu Xiaofeng, Li Wei, You Yunxiang. THE STUDY OF FLOW PAST MULTIPLE CYLINDERS AT HIGH REYNOLDS NUMBERS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(2): 233-243. doi: 10.6052/0459-1879-17-346

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THE STUDY OF FLOW PAST MULTIPLE CYLINDERS AT HIGH REYNOLDS NUMBERS

doi: 10.6052/0459-1879-17-346

(State Key Laboratory of Ocean Engineering, Shanghai Jiaotong University, Shanghai 200240, China)
(Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, Shanghai 200240, China

Received Date: 2017-10-21
Publish Date: 2018-03-18

Abstract

Abstract

Flow past circular cylinders and square cylinders at high Reynolds numbers are simulated by improved delayed detached-eddy simulation (IDDES), including a circular cylinder, a square cylinder, two tandem circular cylinders and two tandem square cylinders. The mean drag coefficient, the RMS values of lift coefficient and the Strouhal number are computed for various Reynolds numbers, which show a good agreement with previous experimental and numerical simulation data. It is found that the effect of Reynolds number on the global quantities for square cylinders is not much in this range of Reynolds numbers, which is different for circular cylinders. There is no drag crisis phenomenon for flow past a square cylinder at $2.0 × 103 < Re < 1.0 × 107$ . The Strouhal number is Reynolds-independent for $Re > 2.0 × 103$ , and the Reynolds-independent is also observed for the mean drag coefficient and the RMS lift coefficient. Simulation for two tandem circular cylinders is performed at Reynolds numbers of $2.2 × 104$ and $3.0 × 106$ for five different spacing $L$ to diameter $D$ ratios: $L / D = 2.0$ , 2.5, 3.0, 3.5 and 4.0. At the critical spacing ( $L c / D)$ there is found a distinct step-like jump of mean drag coefficient and RMS lift coefficient of the subcritical Reynolds number of $2.2 × 104$ , and the mean drag coefficient of the downstream circular cylinder is negative for $L / D < L c / D$ . However, the mean drag coefficient and the RMS lift coefficient are seen to be slightly affected by spacing for $Re = 3.0 × 106$ , and the mean drag coefficient of the downstream circular cylinder is always positive. Flow past two tandem square cylinders is considered at Reynolds numbers of $1.6 × 104$ and $Re = 1.0 × 106$ . The abrupt change in mean drag coefficient and RMS lift coefficient at the critical spacing is clearly seen on both upstream and downstream square cylinders for both Reynolds numbers. When $L / D < L c / D$ , the mean drag coefficient of the downstream cylinder is negative for both Reynolds numbers.
- circular cylinders,
- square cylinders,
- IDDES,
- high Reynolds number

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