Resonance in flow past oscillating cylinder under subcritical conditions

doi:10.1007/s10483-017-2175-8

Applied Mathematics and Mechanics (English Edition) ›› 2017, Vol. 38 ›› Issue (3): 363-378.doi: https://doi.org/10.1007/s10483-017-2175-8

Resonance in flow past oscillating cylinder under subcritical conditions

Renjie JIANG¹, Pengjun ZHENG^1,2,3

1. Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, Zhejiang Province, China;
2. National Traffic Management Engineering and Technology Research Centre, Ningbo University Sub-centre, Ningbo 315211, Zhejiang Province, China;
3. Jiangsu Province Collaborative Innovation Center for Modern Urban Traffic Technologies, Nanjing 210096, China

收稿日期:2016-02-26 修回日期:2016-08-14 出版日期:2017-03-01 发布日期:2017-03-01
通讯作者: Renjie JIANG, E-mail:jiangrenjie@nbu.edu.cn E-mail:jiangrenjie@nbu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (No. 11402129) and the Zhejiang Provincial Natural Science Foundation of China (No. LY17A020002)

Resonance in flow past oscillating cylinder under subcritical conditions

Renjie JIANG¹, Pengjun ZHENG^1,2,3

1. Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, Zhejiang Province, China;
2. National Traffic Management Engineering and Technology Research Centre, Ningbo University Sub-centre, Ningbo 315211, Zhejiang Province, China;
3. Jiangsu Province Collaborative Innovation Center for Modern Urban Traffic Technologies, Nanjing 210096, China

Received:2016-02-26 Revised:2016-08-14 Online:2017-03-01 Published:2017-03-01
Contact: Renjie JIANG E-mail:jiangrenjie@nbu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (No. 11402129) and the Zhejiang Provincial Natural Science Foundation of China (No. LY17A020002)

摘要/Abstract

摘要：

Flow around an oscillating cylinder in a subcritical region are numerically studied with a lattice Boltzmann method (LBM). The effects of the Reynolds number, oscillation amplitude and frequency on the vortex wake modes and hydrodynamics forces on the cylinder surface are systematically investigated. Special attention is paid to the phenomenon of resonance induced by the cylinder oscillation. The results demonstrate that vortex shedding can be excited extensively under subcritical conditions, and the response region of vibration frequency broadens with increasing Reynolds number and oscillation amplitude. Two distinct types of vortex shedding regimes are observed. The first type of vortex shedding regime (VSR I) is excited at low frequencies close to the intrinsic frequency of flow, and the second type of vortex shedding regime (VSR II) occurs at high frequencies with the Reynolds number close to the critical value. In the VSR I, a pair of alternately rotating vortices are shed in the wake per oscillation cycle, and lock-in/synchronization occurs, while in the VSR II, two alternately rotating vortices are shed for several oscillation cycles, and the vortex shedding frequency is close to that of a stationary cylinder under the critical condition. The excitation mechanisms of the two types of vortex shedding modes are analyzed separately.

关键词: multi-variable finite element model, singular Unite element, J-integral, lattice Boltzmann method (LBM), subcritical region, resonance phenomenon, oscillating cylinder

Abstract:

Key words: multi-variable finite element model, singular Unite element, J-integral, lattice Boltzmann method (LBM), oscillating cylinder, resonance phenomenon, subcritical region

中图分类号:

O357

Renjie JIANG, Pengjun ZHENG. Resonance in flow past oscillating cylinder under subcritical conditions[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(3): 363-378.

参考文献

[1] Williamson, C. H. K. Vortex dynamics in the cylinder wake. Annual Review of Fluid Mechanics, 28, 477-539(1996)
[2] Roushan, P. and Wu, X. L. Structure-based interpretation of the Strouhal-Reynolds number relationship. Physical Review Letters, 94, 054504(2005)
[3] Williamson, C. H. K. and Govardhan, R. Vortex-induced vibrations. Annual Review of Fluid Mechanics, 36, 413-455(2004)
[4] Bishop, R. E. D. and Hassan, A. Y. The lift and drag forces on a circular cylinder oscillating in a flowing fluid. Proceedings of the Royal Society of London Series A, 277, 51-75(1964)
[5] Olinger, D. J. and Sreenivasan, K. R. Nonlinear dynamics of the wake of an oscillating cylinder. Physical Review Letters, 60, 797-800(1988)
[6] Williamson, C. H. K. and Roshko, A. Vortex formation in the wake of an oscillating cylinder. Journal of Fluids and Structures, 2, 355-381(1988)
[7] Meneghini, J. R. and Bearman, P. W. Numerical simulation of high amplitude oscillatory flow about a circular cylinder. Journal of Fluids and Structures, 9, 435-455(1995)
[8] Lu, X. Y. and Dalton, C. Calculation of the timing of vortex formation from an oscillating cylinder. Journal of Fluids and Structures, 10, 527-541(1996)
[9] Blackburn, H. M. and Henderson, R. D. A study of two-dimensional flow past an oscillating cylinder. Journal of Fluid Mechanics, 385, 255-286(1999)
[10] Guilmineau, E. and Queutey, P. A numerical simulation of vortex shedding from an oscillating circular cylinder. Journal of Fluids and Structures, 16, 773-794(2002)
[11] Buffoni, E. Vortex shedding in subcritical conditions. Physics of Fluids, 15, 814-816(2003)
[12] Chen, S. S., Yen, R. H., and Wang, A. B. Investigation of the resonant phenomenon of flow around a vibrating cylinder in a subcritical regime. Physics of Fluids, 23, 014105(2011)
[13] Dütsch, H., Durst, F., Becker, S., and Lienhart, H. Low-Reynolds-number flow around an oscillating circular cylinder at low Keulegan-Carpenter numbers. Journal of Fluid Mechanics, 360, 249-271(1998)
[14] Leontini, J. S., Lo Jacono, D., and Thompson, M. C. A numerical study of an inline oscillating cylinder in a free stream. Journal of Fluid Mechanics, 688, 551-568(2011)
[15] Mittal, S. and Singh, S. Vortex-induced vibrations at subcritical Re. Journal of Fluid Mechanics, 534, 185-194(2005)
[16] Succi, S. The Lattice Boltzmann Method for Fluid Dynamics and Beyond, Oxford University Press, Oxford (2001)
[17] Bhatnagar, P. L., Gross, E. P., and Krook, M. A model for collision processes in gases I:small amplitude processes in charged and neutral one-component systems. Physical Review, 94, 511-525(1954)
[18] Chen, H., Chen S., and Matthaeus, W. H. Recovery of the Navier-Stokes equation using a latticegas Boltzmann method. Physical Review A, 45, 5339-5342(1992)
[19] Qian, Y. H., d'Humières, D., and Lallemand, P. Lattice BGK models for Navier-Stokes equation. Europhysics Letters, 17, 479-484(1992)
[20] He, X. Y. and Luo, L. S. Lattice Boltzmann model for the incompressible Navier-Stokes equation. Journal of Statistical Physics, 88, 927-944(1997)
[21] Guo, Z., Zheng, C., and Shi, B. An extrapolation method for boundary conditions in lattice Boltzmann method. Physics of Fluids, 14, 2007-2010(2002)
[22] Lin, J., Jiang, R., Chen, Z., and Ku, X. Poiseuille flow-induced vibrations of two cylinders in tandem. Journal of Fluids and Structures, 40, 70-85(2013)
[23] Jiang, R., Lin, J., and Ku, X. Flow-induced vibrations of two tandem circular cylinders in a parallel-wall channel. Physics of Fluids, 26, 104102(2014)

Resonance in flow past oscillating cylinder under subcritical conditions

Resonance in flow past oscillating cylinder under subcritical conditions

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