串列双圆柱涡激振动数值模拟
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摘要
基于计算流体力学技术开展了低雷诺数Re=150条件下串列双圆柱单自由度涡激振动的数值模拟研究,分析了不同间距比L/D=1.5~5.0、约化速度V_r=3~13条件下串列双圆柱结构动力响应和尾流旋涡脱落特性.结果表明间距比的变化改变下游圆柱锁定区间.对于各个间距比下的上游圆柱其动力响应和单圆柱涡激振动基本相同,而对于下游圆柱其动力响应明显与单圆柱不同.研究还发现存在一个临界约化速度V_(r,crit),当V_rV_(r,crit)时,下游圆柱振幅大于上游圆柱振幅.此外,文中还对不同间距比条件下上、下游圆柱尾流旋涡脱落形态展开了相应的研究.
In this paper,numerical simulations of vortex induced vibration for two tandem cylinders were carried out at Reynolds number Re = 150. The spacing ratio L/D( L is the center-to-center distance between the two cylinders,D is the cylinder diameter) varies from 1. 5 to 5. 0,and the variation of reduced velocities is in the range of 3 ≤V_r≤13. The effects of spacing ratio and reduced velocity on the dynamic response and vortex shedding patterns are investigated. The results show that the spacing ratio has a significant effect on the range of lock-in regon for downstream cylinder. The dynamic response of the upstream cylinder is found to be qualitatively similar to that of an isolated cylinder,while the response of downstream cylinder appears to be greatly amplified. It is also found that there exists a critical reduced velocity V_(r,crit). When V_r< V_(r,crit),the amplitude of upstream cylinder is larger than that of downstream cylinder,on the contrary,when V_r< V_(r,crit),the amplitude of downstream cylinder is larger than that of the upstream cylinder. Moreover,the vortex shedding patterns with variation of reduced velocities at different spacing ratios are investigated.
In this paper,numerical simulations of vortex induced vibration for two tandem cylinders were carried out at Reynolds number Re = 150. The spacing ratio L/D( L is the center-to-center distance between the two cylinders,D is the cylinder diameter) varies from 1. 5 to 5. 0,and the variation of reduced velocities is in the range of 3 ≤V_r≤13. The effects of spacing ratio and reduced velocity on the dynamic response and vortex shedding patterns are investigated. The results show that the spacing ratio has a significant effect on the range of lock-in regon for downstream cylinder. The dynamic response of the upstream cylinder is found to be qualitatively similar to that of an isolated cylinder,while the response of downstream cylinder appears to be greatly amplified. It is also found that there exists a critical reduced velocity V_(r,crit). When V_r< V_(r,crit),the amplitude of upstream cylinder is larger than that of downstream cylinder,on the contrary,when V_r< V_(r,crit),the amplitude of downstream cylinder is larger than that of the upstream cylinder. Moreover,the vortex shedding patterns with variation of reduced velocities at different spacing ratios are investigated.
引文
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[12]郭晓玲,唐国强,刘名名,等.低雷诺数下串联双圆柱涡激振动机理的数值研究[J].振动与冲击,2014,33(4):61-69.DOI:10.3969/j.issn.1000-3835.2014.04.013.GUO Xiaoling,TANG Guoqiang,LIU Mingming,et al.Numerical investigation on vortex-induced vibration of twin tandem circular cylinders under low Reynolds number[J].Journal of Vibration and Shock,2014,33(4):61-69.DOI:10.3969/j.issn.1000-3835.2014.04.013.(in Chinese)
[13]及春宁,陈威霖,黄继露,等.串列双圆柱流致振动的数值模拟及其耦合机制研究[J].力学学报,2014,46(6):863-870.JI Chunning,CHEN Weilin,HUANG Jilu,et al.Numerical investigation on flow-induced vibration of two cylinders in tandem arrangements and its coupling Mechanisms[J].Chinese Journal of Theoretical and Applied Mechanics,2004,46(6):863-870.(in Chinese)
[14]BAO Yan,ZHOU Dai,TU Jiahuang.Flow interference between a stationary cylinder and an elastically mounted cylinder arranged in proximity[J].Journal of Fluids and Structures,2011,27:1425-1446.DOI:10.1016/j.jflaidstructs.2011.08.008
[15]ZHAO M.Flow induced vibration of two rigidly coupled circular cylinders in tandem and side-by-side arrangements at a low Reynolds number of 150[J].Physics of Fluids,2013,25:123601.DOI:10.1063/1.4832956
[16]AHN H T,KALINDERIS Y.Strongly coupled flow/structure interactions with a geometrically conservative ALE scheme on general hybrid meshes[J].Journal of Computational Physics,2006,219:671-696.
[17]WANG Huakun,YANG Wenyu,KIM DAN Nguyen.Wake-induced vibrations of an elastically mounted cylinder located downstream of a stationary larger cylinder at low Reynolds numbers[J].Journal of Fluids and Structures,2014,50:479-496.DOI:10.1016/j.jfluidstructs.2014.07.006
[18]BAO Yan,HUANG Cheng,ZHOU Dai,et al.Twodegree-of-freedom flow-induced vibrations on Isolated and tandem cylinders with varying natural frequency ratios[J].Journal of Fluids and Structures,2012,35:50-75.DOI:10.1016/j.jfluidstructs.2012.08.002
[19]梁文洲.不同排列方式下双圆柱体双自由度涡激振动试验研究[D].哈尔滨:哈尔滨工程大学,2012.
[2]GRIFFIN O M,SKOP R A,KOOPMAN G H.The vortex-excited resonant vibrations of circular cylinders[J].Journal of Sound and Vibration,1973,31:235-249.DOI:10.1016/S0022-460X(73)80377-3.
[3]GRIFFIN O M.Vortex-excited cross flow vibrations of a single circular cylinder[J].Journal of Pressure Vessel Technology,1980,102(2):158-166.DOI:10.1115/1.3263315.
[4]GRIFFIN O M,RAMBERG S E.Some recent studies of vortex-excited shedding with application to marine tubulars and risers[J].ASME:Journal of Energy Resources Technology,1982,104(1):2-13.DOI:10.1115/1.3230377.
[5]WILLIAMSON C H K.Sinusoidal flow relative to circular cylinder[J].Journal of Fluid Mechanics,1985,155:141-174.
[6]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.DOI:10.1016/S0889-9746(88)90058-8.
[7]BORAZJANI I,SOTIROPOULOS F.Vortex-induced vibrations of two cylinders in tandem arrangement in the proximity wake interference region[J].Journal of Fluid Mechanics,2009,621:321-364.DOI:10.1017/S00221122008004850.
[8]PRASSANTH T K,MITTAL S.Vortex-induced vibration of two circular cylinders at low Reynolds number[J].Journal of Fluids and Structures,2009,25(4):731-741.DOI:10.1016/j.jfluidstructs.2008.12.002.
[9]PAPAIOANNOU G V,YUE D K P,TRIANTAFYLLOU M S,et al.On the effect of spacing on the vortexinduced vibrations of two tandem cylinders[J].Journal of Fluids and Structures,2008,24:833-854.DOI:10.1016/j.jfluidstructs.2007.11.006.
[10]CARMO B S,SHERWIN S J,BEARMAN P W,et al.Flow-induced vibration of a circular cylinder subjected to wake interference at low Reynolds number[J].Journal of Fluids and Structures,2011,27(4):503-522.DOI:10.1016/j.jfluidstructs.2011.04.003.
[11]陈文曲,任安禄,李广望.串列双圆柱绕流下游圆柱两自由度涡致振动研究[J].力学学报,2004,36(6):732-738.DOI:10.3221/j.issn.0459-1879.2004.06.013.CHEN Wenqu,REN Anlu,LI Guangwang.The Numerical study of two-degree-of-freedom vortex-induced vibration of the downstream cylinder in tandem arrangement[J].Chinese Journal of Theoretical and Applied Mechanics,2004,36(6):732-738.DOI:10.3221/j.issn.0459-1879.2004.06.013.(in Chinese)
[12]郭晓玲,唐国强,刘名名,等.低雷诺数下串联双圆柱涡激振动机理的数值研究[J].振动与冲击,2014,33(4):61-69.DOI:10.3969/j.issn.1000-3835.2014.04.013.GUO Xiaoling,TANG Guoqiang,LIU Mingming,et al.Numerical investigation on vortex-induced vibration of twin tandem circular cylinders under low Reynolds number[J].Journal of Vibration and Shock,2014,33(4):61-69.DOI:10.3969/j.issn.1000-3835.2014.04.013.(in Chinese)
[13]及春宁,陈威霖,黄继露,等.串列双圆柱流致振动的数值模拟及其耦合机制研究[J].力学学报,2014,46(6):863-870.JI Chunning,CHEN Weilin,HUANG Jilu,et al.Numerical investigation on flow-induced vibration of two cylinders in tandem arrangements and its coupling Mechanisms[J].Chinese Journal of Theoretical and Applied Mechanics,2004,46(6):863-870.(in Chinese)
[14]BAO Yan,ZHOU Dai,TU Jiahuang.Flow interference between a stationary cylinder and an elastically mounted cylinder arranged in proximity[J].Journal of Fluids and Structures,2011,27:1425-1446.DOI:10.1016/j.jflaidstructs.2011.08.008
[15]ZHAO M.Flow induced vibration of two rigidly coupled circular cylinders in tandem and side-by-side arrangements at a low Reynolds number of 150[J].Physics of Fluids,2013,25:123601.DOI:10.1063/1.4832956
[16]AHN H T,KALINDERIS Y.Strongly coupled flow/structure interactions with a geometrically conservative ALE scheme on general hybrid meshes[J].Journal of Computational Physics,2006,219:671-696.
[17]WANG Huakun,YANG Wenyu,KIM DAN Nguyen.Wake-induced vibrations of an elastically mounted cylinder located downstream of a stationary larger cylinder at low Reynolds numbers[J].Journal of Fluids and Structures,2014,50:479-496.DOI:10.1016/j.jfluidstructs.2014.07.006
[18]BAO Yan,HUANG Cheng,ZHOU Dai,et al.Twodegree-of-freedom flow-induced vibrations on Isolated and tandem cylinders with varying natural frequency ratios[J].Journal of Fluids and Structures,2012,35:50-75.DOI:10.1016/j.jfluidstructs.2012.08.002
[19]梁文洲.不同排列方式下双圆柱体双自由度涡激振动试验研究[D].哈尔滨:哈尔滨工程大学,2012.