DOI QR코드

DOI QR Code

Flow-induced vibrations of three circular cylinders in an equilateral triangular arrangement subjected to cross-flow

  • Chen, Weilin (State Key Laboratory of Hydraulic Engineering Simulation & Safety, Tianjin University) ;
  • Ji, Chunning (State Key Laboratory of Hydraulic Engineering Simulation & Safety, Tianjin University) ;
  • Alam, Md. Mahbub (Institute for Turbulence-Noise-Vibration Interaction and Control, Harbin Institute of Technology (Shenzhen)) ;
  • Xu, Dong (State Key Laboratory of Hydraulic Engineering Simulation & Safety, Tianjin University)
  • 투고 : 2018.09.07
  • 심사 : 2019.02.28
  • 발행 : 2019.07.25

초록

Vortex-induced vibration of three circular cylinders (each of diameter D) in an equilateral triangular arrangement is investigated using the immersed boundary method. The cylinders, with one placed upstream and the other two side-by-side downstream, are free to vibrate in the cross-flow direction. The cylinder center-to-center spacing L is adopted as L/D = 2.0. Other parameters include the Reynolds number Re = 100, mass ratio $m^*=2.0$, reduced velocity $U_r=2{\sim}15$ and damping ratio ${\zeta}=0$. Cylinder vibration responses are dependent on $U_r$ and classified into five regimes, i.e. Regime I ($U_r{\leq}3.2$), Regime II ($3.2<U_r{\leq}5.0$), Regime III ($5.0<U_r{\leq}6.4$), Regime IV ($6.4<U_r{\leq}9.2$) and Regime V ($U_r>9.2$). Different facets of vibration amplitude, hydrodynamic forces, wake patterns and displacement spectra are extracted and presented in detail for each regime.

키워드

과제정보

연구 과제 주관 기관 : National Natural Science Foundation of China

참고문헌

  1. Alam, M.M. (2014), "The aerodynamics of a cylinder submerged in the wake of another", J. Fluid. Struct., 51, 393-400. https://doi.org/10.1016/j.jfluidstructs.2014.08.003.
  2. Alam, M.M. (2016), "Lift forces induced by the phase lag between the vortex sheddings from two tandem bluff bodies", J. Fluid. Struct., 65, 217-237. https://doi.org/10.1016/j.jfluidstructs.2016.05.008.
  3. Alam, M.M. and Kim, S. (2009), "Free vibration of two identical circular cylinders in staggered arrangement", Fluid Dyn. Res., 41(3), 035507. https://doi.org/10.1088/0169-5983/41/3/035507
  4. Alam, M.M. and Meyer, J.P. (2013), "Global aerodynamic instability of twin cylinders in cross flow", J. Fluid, Struct., 41, 135-145. https://doi.org/10.1016/j.jfluidstructs.2013.03.007.
  5. Assi, G.R.S., Bearman, P.W. and Meneghini, J.R. (2010), "On the wake-induced vibration of tandem circular cylinders: the vortex interaction excitation mechanism", J. Fluid Mech., 661, 365-401. https://doi.org/10.1017/S0022112010003095.
  6. Assi, G.R.S., Bearman, P.W., Carmo, B.S., Meneghini, J.R., Sherwin, S.J. and Willden, R.H.J. (2013), "The role of wake stiffness on the wake-induced vibration of the downstream cylinder of a tandem pair", J. Fluid Mech., 718, 210-245. https://doi.org/10.1017/jfm.2012.606.
  7. Assi, G.R.S., Meneghini, J.R., Aranha, J.A.P, Bearman, P.W. and Casaprima, E. (2006), "Experimental investigation of flow-induced vibration interference between two circular cylinders", J. Fluid. Struct., 22(6-7), 819-827, https://doi.org/10.1016/j.jfluidstructs.2006.04.013.
  8. Behara, S., Ravikanth, B. and Chandra, V. (2017), "Vortex-induced vibrations of three staggered circular cylinders at low Reynolds numbers", Phys. Fluids, 29(8), 083606. https://doi.org/10.1063/1.4998417.
  9. Bhatt, R. and Alam, M.M. (2018), "Vibration of a square cylinder submerged in a wake", J. Fluid Mech., 853, 301-332. https://doi.org/10.1017/jfm.2018.573.
  10. Blevins, R.D. (1990), "Flow-Induced Vibrations," Van Nostrand Reinhold, New York.
  11. Bokaian, A. and Geoola, F. (1984a), "Wake-induced galloping of two interfering circular cylinders", J. Fluid Mech., 146, 383-415. https://doi.org/10.1017/S0022112084001920
  12. Bokaian, A. and Geoola, F. (1984b), "Proximity-induced galloping of two interfering circular cylinders", J. Fluid Mech., 146, 417-449. https://doi.org/10.1017/S0022112084001932.
  13. Brika, D. and Laneville, A. (1999), "The flow interaction between a stationary cylinder and a downstream flexible cylinder", J. Fluid. Struct., 13(5), 579-606. https://doi.org/10.1006/jfls.1999.0220.
  14. Chen, W., Ji, C., Xu, W., Liu, S. and Campbell, J. (2015a), "Response and wake patterns of two side-by-side elastically supported circular cylinders in uniform laminar cross-flow", J. Fluid. Struct., 55, 218-236. https://doi.org/10.1016/j.jfluidstructs.2015.03.002.
  15. Chen, W., Ji, C., Wang, R., Xu, D. and Campbell, J. (2015b), "Flow-induced vibrations of two side-by-side circular cylinders: Asymmetric vibration, symmetry hysteresis and near-wake patterns", Ocean Eng., 110, 244-257. https://doi.org/10.1016/j.oceaneng.2015.10.028.
  16. Chen, W., Ji, C., Williams, J., Xu, D., Yang, L. and Cui, Y. (2018), "Vortex-induced vibrations of three tandem cylinders in laminar cross-flow: Vibration response and galloping mechanism", J. Fluid. Struct., 78, 215-238. https://doi.org/10.1016/j.jfluidstructs.2017.12.017.
  17. Flemming, F. and Williamson, C.H.K. (2005), "Vortex-induced vibrations of a pivoted cylinder", J. Fluid Mech., 522, 215-252. https://doi.org/10.1017/S0022112004001831.
  18. Hover, F.S. and Triantafyllou, M.S. (2001), "Galloping response of a cylinder with upstream wake interference", J. Fluid. Struct., 15(3-4), 503-512. https://doi.org/10.1006/jfls.2000.0364.
  19. Ji, C., Xiao, Z., Wang, Y. and Wang, H. (2011), "Numerical investigation on vortex-induced vibration of an elastically mounted circular cylinder at low Reynolds number using the fictitious domain method", Int. J. Comput. Fluid D., 25(4), 207-221. https://doi.org/10.1080/10618562.2011.577034.
  20. Ji, C., Munjiza, A. and Williams, J.J.R. (2012), "A novel iterative direct-forcing immersed boundary method and its finite volume applications", J. Comput. Phys., 231(4), 1797-1821. https://doi.org/10.1016/j.jcp.2011.11.010.
  21. Ji, C., Peng, Z., Alam M.M., Chen, W. and Xu, D. (2018a), "Vortex-induced vibration of a long flexible cylinder in uniform cross-flow", Wind Struct., 26(5), 267-277. https://doi.org/10.12989/was.2018.26.5.267.
  22. Ji, C., Xu, W., Sun, H., Wang, R., Ma, C. and Bernitsas, M.M. (2018b), "Interactive flow-induced vibrations of two staggered, low mass-ratio cylinders in the TrSL3 flow regime (2.5x104 < Re < 1.2x105): smooth cylinders", J. Offshore Mech. Arct., 140(4), 041801. doi: 10.1115/1.4038936.
  23. Kang S. (2003), "Characteristics of flow over two circular cylinders in a side-by-side arrangement at low Reynolds numbers", Phys. Fluids, 15(9), 2486-2498. https://doi.org/10.1063/1.1596412.
  24. Kim, H.J. and Durbin, P.A. (1988), "Investigation of the flow between a pair of circular beams in the flopping regime", J. Fluid Mech., 196, 431-448. https://doi.org/10.1017/S0022112088002769.
  25. Kim, S., Alam M.M., Sakamoto, H. and Zhou, Y. (2009), "Flow-induced vibrations of two circular cylinders in tandem arrangement. Part1: Characteristics of vibration", J. Wind Eng. Ind. Aerod., 97(5-6), 304-311. https://doi.org/10.1016/j.jweia.2009.07.004.
  26. Kim, S., Alam, M.M. and Maiti, D.K. (2018), "Wake and suppression of flow-induced vibration of a circular cylinder", Ocean Eng., 151, 298-307. https://doi.org/10.1016/j.oceaneng.2018.01.043.
  27. Kim, S., Alam, M.M. and Russel, M. (2016), "Aerodynamics of a cylinder in the wake of a V-shaped object", Wind Struct., 23(2), 143-155. http://dx.doi.org/10.12989/was.2016.23.2.143.
  28. Kim, S. and Alam, M.M., (2015), "Characteristics and suppression of flow-induced vibrations of two side-by-side circular cylinders", J. Fluid. Struct., 54, 629-642. https://doi.org/10.1016/j.jfluidstructs.2015.01.004.
  29. King, R. and Johns, D.J. (1976), "Wake interaction experiments with two flexible circular cylinders in flowing water", J. Sound Vib., 45, 259-283. https://doi.org/10.1016/0022-460X(76)90601-5.
  30. Peskin, C.S. (1972), "Flow Patterns Around Heart Valves: a Digital Computer Method for Solving the Equations of Motion", Ph.D. Dissertation, Yeshiva University, New York.
  31. Qin, B., Alam, M.M. and Zhou, Y. (2017), "Two tandem cylinders of different diameters in crossflow: flow-induced vibration", J. Fluid Mech., 829, 621-658. https://doi.org/10.1017/jfm.2017.510
  32. Qin, B., Alam, M.M., Ji, C., Liu, Y. and Xu, S. (2018), "Flow-induced vibrations of two tandem cylinders of different natural frequencies", Ocean Eng., 155, 189-200. https://doi.org/10.1016/j.oceaneng.2018.02.048
  33. Sarpkaya, T. (2004), "A critical review of the intrinsic nature of vortex-induced vibrations", J. Fluid. Struct., 19(4), 389-447. https://doi.org/10.1016/j.jfluidstructs.2004.02.005.
  34. Williamson, C.H.K. and Govardhan, R. (2004), "Vortex-induced vibrations", Annu. Rev. Fluid Mech., 36, 413-455. https://doi.org/10.1146/annurev.fluid.36.050802.122128.
  35. Yu, K.R., Etienne, S., Scolan, Y-M., Hay, A., Fontaine, E. and Pelletier, D. (2016), "Flow-induced vibrations of in-line cylinder arrangements at low Reynolds numbers", J. Fluid. Struct., 60, 37-61. https://doi.org/10.1016/j.jfluidstructs.2015.10.005.
  36. Zdravkovich, M.M. (1977), "Review of flow interference between two circular cylinders in various arrangements", J. Fluid Eng., 99(4), 618-633. doi:10.1115/1.3448871.

피인용 문헌

  1. Wind loads and wind-resistant behaviour of large cylindrical tanks in square-arrangement group. Part 2: CFD simulation and finite element analysis vol.31, pp.6, 2019, https://doi.org/10.12989/was.2020.31.6.495
  2. Flow of casson nanofluid along permeable exponentially stretching cylinder: Variation of mass concentration profile vol.38, pp.1, 2019, https://doi.org/10.12989/scs.2021.38.1.033
  3. Effect of suction on flow of dusty fluid along exponentially stretching cylinder vol.10, pp.3, 2019, https://doi.org/10.12989/anr.2021.10.3.263