Numerical simulation for forced oscillations of right cylinders and&nbsp; wavy cylinders under low Reynolds number

PDF(2149 KB)

Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (23) : 1-8.

Numerical simulation for forced oscillations of right cylinders and wavy cylinders under low Reynolds number

PING Huan1,ZHANG Kai1,2,ZHOU Dai1,3,4,BAO Yan1,ZHU Hongbo1,HAN Zhaolong1

Author information +

History +

Abstract

Both right cylinders and wavy ones’forced oscillations normal to incoming uniform flow under low Reynolds number (Re=150) were numerically investigated.The effects of oscillation amplitude and frequency on hydrodynamic forces exerted on these cylinders were examined.Their lock-in regions were determined and under lock-in states varying characteristics of lift force and wake were analyzed.The numerical simulation showed that although wavy cylinders can fully suppress Karman vortex street in static cases,the variation trend of their hydrodynamic forces with their oscillation frequency is similar to that of right cylinders under forced oscillation; wavy cylinders’suppressing lift and drag forces appear within lower and higher frequency regions,respectively; lift force curves have different performances under a lock-in state and a non-lock-in state; under a lock-in state,vortex modes in wake regions of right cylinders are controlled by oscillation frequency,2S and C(2S) modes are observed,while only one vortex mode is observed in wake regions of wavy cylinders.

Key words

wavy cylinder / forced oscillation / lock-in / low Reynolds number

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

PING Huan1,ZHANG Kai1,2,ZHOU Dai1,3,4,BAO Yan1,ZHU Hongbo1,HAN Zhaolong1. Numerical simulation for forced oscillations of right cylinders and wavy cylinders under low Reynolds number[J]. Journal of Vibration and Shock, 2018, 37(23): 1-8

References

[ 1 ] Bishop R E D，Hassan A Y. The lift and drag forces on a circular cylinder oscillating in a flowing fluid[C]// Proceedings of the Royal Society of London A: Mathematical，Physical and Engineering Sciences. The Royal Society，1964: 51-75.
[ 2 ] Meneghini J R，Bearman P W. Numerical simulation of high amplitude oscillatory flow about a circular cylinder[J]. Journal of Fluids and Structures，1995，9(4): 435-455.
[ 3 ] 梁亮文，万德成. 横向受迫振荡圆柱低雷诺数绕流问题数值模拟[J]. 海洋工程，2009，27(4): 46-60.
LIANG Liang-wen，WAN De-cheng. Numerical investigation of a forced oscillating cylinder in a cross flows with low Reynolds number[J]. The Ocean Engineering，2009，27(4): 46 -60.
[ 4 ] 赵静，吕林，董国海，等. 亚临界雷诺数下圆柱受迫振动的数值研究[J]. 计算力学学报，2012，(01): 74-80.
ZHAO Jing，LÜ Lin，DONG Guo-hai，et al. Two dimensional numerical simulation of forced oscillating cylinder at sub-critical Reynolds number[J]. Chinese Journal of Computational Mechanics，2009，26(5): 613-618.
[ 5 ] Ongoren A，Rockwell D. Flow structure from an oscillating cylinder Part 1. Mechanisms of phase shift and recovery in the near wake[J]. Journal of Fluid Mechanics，1988，191: 197-223.
[ 6 ] Gu W，Chyu C，Rockwell D. Timing of vortex formation from an oscillating cylinder[J]. Physics of Fluids，1994，6(11): 3677 -3682.
[ 7 ] Williamson C H K，Roshko A. Vortex formation in the wake of an oscillating cylinder[J]. Journal of Fluids and Structures，1988，2(4): 355-381.
[ 8 ] Karniadakis G E，Triantafyllou G S. Frequency selection and asymptotic states in laminar wakes[J]. Journal of Fluid Mechanics，1989，199: 441-469.
[ 9 ] Kumar S，Navrose，Mittal S. Lock-in in forced vibration of a circular cylinder[J]. Physics of Fluids，2016，28(11): 113605.
[10] Koopmann G H. The vortex wakes of vibrating cylinders at low Reynolds numbers[J]. Journal of Fluid Mechanics，1967， 28(03): 501-512.
[11] Ahmed A，Bays‐Muchmore B. Transverse flow over a wavy cylinder[J]. Physics of Fluids A: Fluid Dynamics，1992，4(9): 1959-1967.
[12] 邹琳，林玉峰. 亚临界雷诺数下波浪型圆柱绕流的数值模拟及减阻研究[J]. 水动力学研究与进展A辑，2010，25(1): 31-36.
ZOU Lin，LIN Yu-feng. Numerical simulation of turbulent flow around wavy cylinders at a subcritical Reynolds number and the investigation on drag reduction[J]. Chinese Journal of Hydrodynamics，2010，25(1): 31-36.
[13] Lam K，Lin Y F. Effects of wavelength and amplitude of a wavy cylinder in cross-flow at low Reynolds numbers[J]. Journal of Fluid Mechanics，2009，620: 195-220.
[14] Holzmann T. Mathematics，Numerics，Derivations and OpenFOAM[M]. 4th ed. Leoben: Holzmann CFD，2016.
[15] Issa R I. Solution of the implicitly discretised fluid flow equations by operator-splitting[J]. Journal of Computational Physics，1991，93(2): 388-410.
[16] Lam K，Lin Y. Large eddy simulation of flow around wavy cylinders at a subcritical Reynolds number[J]. International Journal of Heat and Fluid Flow，2008，29 (4): 1071–1088.
[17] Park J，Kwon K，Choi H. Numerical solutions of flow past a circular cylinder at Reynolds numbers up to 160[J]. Journal of Mechanical Science and Technology，1998，12(6): 1200-1205.
[18] Sharman B，Lien F S，Davidson L，et al. Numerical predictions of low Reynolds number flows over two tandem circular cylinders[J]. International Journal for Numerical Methods in Fluids，2005，47(5): 423-447.
[19] Williamson C H K. Oblique and parallel modes of vortex shedding in the wake of a circular cylinder at low Reynolds numbers[J]. Journal of Fluid Mechanics，1989，206: 579-627.
[20] Guilmineau E，Queutey P. A numerical simulation of vortex shedding from an oscillating circular cylinder[J]. Journal of Fluids and Structures，2002，16(6): 773-794.
[21] Anagnostopoulos P. Numerical study of the flow past a cylinder excited transversely to the incident stream. Part 1: Lock-in zone，hydrodynamic forces and wake geometry[J]. Journal of Fluids and Structures，2000，14(6): 819-851.
[22] Singh S P，Mittal S. Vortex-induced oscillations at low Reynolds numbers: hysteresis and vortex-shedding modes[J]. Journal of Fluids and Structures，2005，20(8): 1085-1104.