EI、Scopus 收录
中文核心期刊
Duan Songchang, Zhao Xizeng, Ye Zhouteng, Wang Kaipeng. NUMERICAL STUDY OF STAGGERED ANGLE ON THE VORTEX-INDUCED VIBRATION OF TWO CYLINDERS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(2): 244-253. DOI: 10.6052/0459-1879-17-345
Citation: Duan Songchang, Zhao Xizeng, Ye Zhouteng, Wang Kaipeng. NUMERICAL STUDY OF STAGGERED ANGLE ON THE VORTEX-INDUCED VIBRATION OF TWO CYLINDERS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(2): 244-253. DOI: 10.6052/0459-1879-17-345

NUMERICAL STUDY OF STAGGERED ANGLE ON THE VORTEX-INDUCED VIBRATION OF TWO CYLINDERS

  • Received Date: October 17, 2017
  • The vortex-induced vibration of two cylinders with the effect of the stagger angle is studied numerically. A finite difference model based on an in-house code named CIP (constraint interpolation profile) is utilized. The model is built on a Cartesian coordinate system, with the Navier-Stokes equation solved by a third-order accuracy CIP method. The fluid-structure interaction is modelled by an immersed boundary method. Based on the CIP model, two-dimensional flow past two equal-sized circular cylinders placed at Reynolds number ( Re=100 ) with different stagger angle ( α=0°~90° with a 15 #x00B0; interval) is investigated. Main attention has been paid to the lift coefficient, drag coefficient, displacement response, vortex-shedding frequency and wake pattern of both cylinders. The results show that the drag coefficient and lift coefficient of both cylinders increase monotonically as the stagger angle increases when reduced velocity Ur=2.0~3.0 . For reduced velocity Ur=5.0~8.0 , with the increase of stagger angle, the drag coefficient of both cylinders changes slightly and the lift coefficient of both cylinders presents a “convex-like” trend and reaches maximum value at α=15°~30° . In the case of reduced velocity Ur=10.0~13.0 , with the increase of stagger angle, the drag coefficient of both cylinders also displays little change and the lift coefficients of both cylinders show a “concave-like” trend and reach minimum value at α=30°~45° . However, there is no obvious correspondence between the transverse oscillation amplitude and lift coefficient of cylinder as Ur=10.0~13.0 . Finally, the wake pattern of both cylinders is analyzed to explain above phenomenon. Above all, the present result could be helpful to the structure design of ocean engineering.
  • [1] Bearman PW.Vortex shedding from oscillating bluff bodies.Annual Review of Fluid Mechanics, 2012, 16(1): 195-222
    [2] Nomurt T.Finite element analysis of vortex-induced vibrations of bluff cylinder.Journal of Wind Engineering and Industrial Aerodynamics, 1993, 46: 587-594
    [3] 及春宁,花阳,许栋等.不同剪切率来流作用下柔性圆柱涡激振动数值模拟.力学学报, 2018, 50(1): 21-31
    [3] (Ji Chunning, Hua Yang, Xu Dong, et al.Numerical simulation of vortex-induced virbration of a flexible cylinder exposed to shear flow at different shear rates.Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(1): 21-31 (in Chinese))
    [4] 高云,付世晓,熊友明等.剪切来流下柔性圆柱体涡激振动响应试验研究.振动与冲击, 2016, 35(20): 142-148
    [4] (Gao Yun, Fu Shixiao, Xiong Youming, et al.Experimental study on vortex induced vibration responses of flexible cylinder in sheared current.Journal of Vibration and Shock, 2016, 35(20): 142-148 (in Chinese))
    [5] 宋磊建,付世晓,于大鹏等.剪切流下发生涡激振动的柔性立管阻力特性研究.力学学报, 2016, 48(2): 300-306
    [5] (Song Leijian, Fu Shixiao, Yu Dapeng, et al.Investigation of drag forces for flexible risers undergoing vortex-induced vibration in sheared flow.Journal of Vibration and Shock, 2016, 48(2): 300-306 (in Chinese))
    [6] Zhao M, Cheng L, An HW.Numerical investigation of vortex-induced virbration of circular cylinder in transverse direction in oscillatory flow.Ocean Engineering, 2012, 41(5): 39-52
    [7] 王俊高,付世晓,许玉旺等. 正弦振荡来流下柔性立管涡激振动发展过程.力学学报, 2014, 46(2): 173-182
    [7] (Wang Jungao, Fu Shixiao, Xu Yuwang, et al.VIV developing process of a flexible cylinder under oscillatory flow.Chinese Journal of Theoretical and Applied Mechanics, 2014,46(2): 173-182 (in Chinese))
    [8] Mittal S, Kumar V, Raghuvanshi A.Unsteady incompressible flow past two cylinders in tandem and staggered arrangements.International Journal of Numerical Methods in Fluids, 1997, 25: 1315-1344
    [9] Prasanth TK, Mittal S.Vortex-induced vibration of two circular cylinders at low Reynolds number.Journal of Fluid and Structures, 2009, 25(4): 731-741
    [10] Borazjani I, Sotiropoulos F.Vortex-induced vibrations of two cylinders in tandem arrangement in the proximity-wake interference region.Journal of Fluid Mechanics, 2009, 621: 321-364
    [11] 吴晓笛,刘华坪,陈浮. 基于浸入边界--多松弛时间格子玻尔兹曼通量求解法的流固耦合算法研究.物理学报, 2017, 66(22): 252-265
    [11] (Wu Xiaodi, Liu Huaping, Chen Fu.A method combined immersed boundary with multi-relaxation-time lattice Boltzmann flux solver for fluid-structure interaction.Acta Physica Sinica, 2017, 66(22): 252-265 (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.振动与冲击, 2014, 33(4): 60-69
    [12] (Guo Xiaoling, Tang Guoqiang, Liu Mingming, et al.Numerical investigation on vortex-induced vibration of twin tandem circular cylinders under low Reynolds number.Journal of Vibration and Shock, 2014, 33(4): 60-69 (in Chinese))
    [13] Williamson CHK.Evolution of a single wake behind a pair of bluff bodies.Journal of Fluid Mechanics, 2006, 159(159): 1-18
    [14] Chen W, Ji C, Xu W, et al.On the responses and wake patterns of two side-by-side elastically circular cylinders in uniform laminar flow.Journal of Fluids and Structure, 2015, 55: 218-236
    [15] 赵西增,付英男,张大可. 柱体绕流的CIP方法模拟.哈尔滨工程大学学报, 2016, 37(3): 297-305
    [15] (Zhao Xizeng, Fu Yingnan, Zhang Dake.Numerical simulation of flow past a cylinder using a CIP-Based model.Journal of Harbin Engineering University, 2016, 37(3): 297-305 (in Chinese))
    [16] Zhao X, Cheng D, Zhang D, et al.Numerical study of low-Reynolds-number flow past two tandem square cylinders with varying incident angles of the downstream one using a CIP-based model. Ocean Engineering, 2016, 121: 414-421
    [17] 赵西增,付英男,张大可等. 紧致插值曲线方法在流向强迫振荡圆柱绕流中的应用.力学学报, 2015, 47(3): 441-450
    [17] (Zhao Xizeng, Fu Yingnan, Zhang Dake, et al.Application of a CIP-based numerical simulation of flow past an in-line forced oscillating circular cylinder.Chinese Journal of Theoretical and Applied Mechanics, 2015, 47(3): 441-450 (in Chinese))
    [18] Yabe T, Xiao F, Utsumi T.The constrained interpolation profile method for multiphase analysis.Journal of Computational Physics, 2001, 169(2): 556-593
    [19] Peskin CS.Flow patterns around heart valves: a digital computer method for solving the equations of motion. [PhD Thesis]. New York: Albert Einstein College of Medicine, 1972
    [20] 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.Physics of Fluids, 2013, 25(12): 355-381
    [21] Meneghini JR, Saltara F, Siqueira CLR, et al.Numerical simulation of flow interference between two circular cylinders in tandem and side-by-side arrangements.Journal of Fluids and Structures, 2001, 15(2): 327-350
    [22] Zhou CY, So R, Lam K.Vortex-induced vibrations of an elastic circular cylinder.Journal of Fluids and Structures, 1999, 13(2): 165-189
    [23] Ahn HT, Kallinderis Y.Strongly coupled flow/structure interactions with a geometrically conservative ALE scheme on general hybrid meshes.Journal of Computational Physics, 2006, 219(2): 671-696
    [24] Bao Y, Zhou D, Tu J.Flow interference between a stationary cylinder and an elastically mounted cylinder arranged in proximity.Journal of Fluids and Structures, 2011, 27(8): 1425-1446
    [25] 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.力学学报, 2014, 46(6): 862-870
    [25] (Ji Chunning, Chen Weilin, Huang Jilu, et al.Numerical investigation on flow-induced vibration of two cylinders in tandem arrangements and its coupling mechanism.Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(6): 862-870 (in Chinese))
    [26] Prasanth TK, Mittal S.Vortex-induced vibration of two circular cylinders at low Reynolds number.Journal of Fluids and Structures, 2009, 25(4): 731-741
    [27] Zravkovich MM.The effects of flow interference between two circular cylinders in various arrangements.Journal of Fluids and Structures, 1987, 1: 239-261
    [28] Chen HC, Huang K, Chen CR, et al.CFD simulation of riser VIV. Final Project Report, 2006: 15-20
    [29] 杨立红. 低雷诺数下串列多圆柱流致振动的数值模拟及其机理研究. [博士论文].天津:天津大学, 2014
    [29] (Yang Lihong.Numerical investigation on flow-induced vibrations of multiple circular cylinders in tandem arrangement at low Reynolds number. [PhD Thesis]. Tianjin: Tianjin University, 2014 (in Chinese))
  • Related Articles

    [1]Zhao Yong, Ge Yixuan, Chen Xinmeng, Chen Zhenyu, Wang Lei. MULTI-DISTRIBUTION REGULARIZED LATTICE BOLTZMANN METHOD FOR CONVECTION-DIFFUSION-SYSTEM-BASED INCOMPRESSIBLE NAVIER-STOKES EQUATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2025, 57(7): 1597-1610. DOI: 10.6052/0459-1879-25-096
    [2]Cai Zhenggang, Pan Junhua, Ni Mingjiu. AN AXISYMMETRIC IMMERSED BOUNDARY METHOD BASED ON 2D MESH[J]. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(7): 1909-1920. DOI: 10.6052/0459-1879-22-110
    [3]Song Liqun, Ji Chunning, Zhang Xiaona. VORTEX-INDUCED VIBRATION AND WAKE TRACING MECHANISM OF HARBOR SEAL WHISKER: A DIRECT NUMERICAL SIMULATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 2021, 53(2): 395-412. DOI: 10.6052/0459-1879-20-268
    [4]Yang Ming, Liu Jubao, Yue Qianbei, Ding Yuqi, Wang Ming. NUMERICAL SIMULATION ON THE VORTEX-INDUCED COLLISION OF TWO SIDE-BY-SIDE CYLINDERS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(6): 1785-1796. DOI: 10.6052/0459-1879-19-224
    [5]Weilin Chen, Chunning Ji, Dong Xu. EFFECTS OF THE ADDED CYLINDERS WITH DIFFERENT CONTROL ANGLES ON THE VORTEX-INDUCED VIBRATIONS OF A CIRCULAR CYLINDER[J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(2): 432-440. DOI: 10.6052/0459-1879-18-208
    [6]Zhao Xizeng, Fu Yingnan, Zhang Dake, Cheng Du. APPLICATION OF A CIP-BASED NUMERICAL SIMULATION OF FLOW PAST AN IN-LINE FORCED OSCILLATING CIRCULAR CYLINDER[J]. Chinese Journal of Theoretical and Applied Mechanics, 2015, 47(3): 441-450. DOI: 10.6052/0459-1879-14-387
    [7]Shui Qingxiang, Wang Daguo. NUMERICAL SIMULATION FOR NAVIER-STOKES EQUATIONS BY PROJECTION/CHARACTERISTIC-BASED OPERATOR-SPLITTING FINITE ELEMENT METHOD[J]. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(3): 369-381. DOI: 10.6052/0459-1879-13-253
    [8]Chong Xie, Jing Fan. Assessment of second-order velocity-slip boundary conditions of the navier-stokes equations[J]. Chinese Journal of Theoretical and Applied Mechanics, 2007, 39(1): 1-6. DOI: 10.6052/0459-1879-2007-1-2005-577
    [9]THE BOUNDARY INTEGRAL METHOD FOR INCOMPRESSIBLE VISCOUS NAIER-STOKES EQUATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1996, 28(2): 225-232. DOI: 10.6052/0459-1879-1996-2-1995-324
    [10]THE COMPLETE BOUNDARY INTEGRAL FORMULATION FOR GENERALIZED STOKES EQUATION AND ITS APPLICATION TO THE SOLUTION OF NAVIER-STOKES EQUATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1992, 24(6): 645-652. DOI: 10.6052/0459-1879-1992-6-1995-787
  • Cited by

    Periodical cited type(2)

    1. 万云博,马戎,王年华,张来平,桂业伟. 多维迎风方法在非结构/混合网格热流计算中的应用研究. 计算力学学报. 2019(01): 35-42 .
    2. 范纪华,陈立威,王明强,章定国,杜超凡. 旋转中心刚体-FGM梁刚柔热耦合动力学特性研究. 力学学报. 2019(06): 1905-1917 . 本站查看

    Other cited types(2)

Catalog

    Article Metrics

    Article views (1367) PDF downloads (324) Cited by(4)
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return