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DNS of vortex-induced vibrations of a yawed flexible cylinder near a plane boundary

  • Zhang, Zhimeng (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)
  • Received : 2019.11.04
  • Accepted : 2020.03.01
  • Published : 2020.05.25
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Abstract

Vortex-induced vibrations of a yawed flexible cylinder near a plane boundary are numerically investigated at a Reynolds number Ren= 500 based on normal component of freestream velocity. Free to oscillate in the in-line and cross-flow directions, the cylinder with an aspect ratio of 25 is pinned-pinned at both ends at a fixed wall-cylinder gap ratio G/D = 0.8, where D is the cylinder diameter. The cylinder yaw angle (α) is varied from 0° to 60° with an increment of 15°. The main focus is given on the influence of α on structural vibrations, flow patterns, hydrodynamic forces, and IP (Independence Principle) validity. The vortex shedding pattern, contingent on α, is parallel at α=0°, negatively-yawed at α ≤ 15° and positively-yawed at α ≥ 30°. In the negatively- and positively-yawed vortex shedding patterns, the inclination direction of the spanwise vortex rows is in the opposite and same directions of α, respectively. Both in-line and cross-flow vibration amplitudes are symmetric to the midspan, regardless of α. The RMS lift coefficient CL,rms exhibits asymmetry along the span when α ≠ 0°, maximum CL,rms occurring on the lower and upper halves of the cylinder for negatively- and positively-yawed vortex shedding patterns, respectively. The IP is well followed in predicting the vibration amplitudes and drag forces for α ≤ 45° while invalid in predicting lift forces for α ≥ 30°. The vortex-shedding frequency and the vibration frequency are well predicted for α = 0° - 60° examined.

Keywords

Acknowledgement

This work was financially supported by the National Natural Science Foundation of China (Grants No. 51579175, 51779172 and 51979186), the Science Fund for Creative Research Groups of the National Natural Science Foundation of China (Grant No. 51621092). The National Key Research and Development Program of China (Grant No. 2017YFC1404200). The work was carried out at National Supercomputer Center in Tianjin, and the calculations were performed in Tianhe 3 prototype.

References

  1. Alam, M.M. and Zhou, Y. (2007). "The turbulent wake of an inclined cylinder with water running", J. Flu. Mech., 589, 261-303. https://doi.org/10.1017/S0022112007007720.
  2. Bai, H.L. and Alam, M.M. (2018), "Dependence of square cylinder wake on Reynolds Number", Phys. Flu., 30, 015102. https://doi.org/10.1063/1.4996945.
  3. Bearman, P.W. and Zdravkovich, M.M. (1978), "Flow around a circular cylinder near a plane boundary", J. Flu. Mech., 89(1), 33-47. https://doi.org/10.1017/S002211207800244X.
  4. Bourguet, R. and Triantafyllou, M.S. (2014), "Vortex-induced vibrations of a flexible cylinder at large inclination angle", Philos. T. R. Soc. A. Math. Phys. Eng. Sci., 373(2033), 20140108-20140108. https://doi.org/10.1098/rsta.2014.0108.
  5. Bourguet, Remi, Em Karniadakis, G. and Triantafyllou, M.S. (2015), "On the validity of the independence principle applied to the vortex-induced vibrations of a flexible cylinder inclined at $60^{\circ}$", J. Flu. Struct., 53, 58-69. https://doi.org/10.1016/j.jfluidstructs.2014.09.005
  6. Chen, W., Ji, C., Xu, D. and Srinil, N. (2019a), "Wake patterns of freely vibrating side-by-side circular cylinders in laminar flows", J. Flu. Struct., 89, 82-95. https://doi.org/10.1016/j.jfluidstructs.2019.02.013
  7. Chen, W., Ji, C., Xu, D. and Williams, J. (2019b), "Two-degree-of-freedom vortex-induced vibrations of a circular cylinder in the vicinity of a stationary wall", J. Flu. Struct., 91, 102728. https://doi.org/10.1016/j.jfluidstructs.2019.102728
  8. Derakhshandeh, J.F. and Alam, M.M. (2018), "Flow structures around a rectangular cylinder in the vicinity of a wall", Wind Struct., 26(5), 293-304. https://doi.org/10.12989/WAS.2018.26.5.293
  9. Derakhshandeh, J.F. and Alam, M.M. (2019a), "A numerical study of heat transfer enhancement by a rectangular cylinder placed parallel to heated wall", J. Heat Transfer, 141, 071901. https://doi.org/10.1115/1.4043212
  10. Derakhshandeh, J.F. and Alam, M.M. (2019b), "A review of bluff body wakes", Ocean Eng., 182(15), 475-488. https://doi.org/10.1016/j.oceaneng.2019.04.093.
  11. Franzini, G.R., GoncAlves, R.T., Meneghini, J.R. and Fujarra, A. L.C. (2013), "One and two degrees-of-freedom vortex-induced vibration experiments with yawed cylinders", J. Flu. Struct., 42, 401-420. https://doi.org/10.1016/j.jfluidstructs.2013.07.006.
  12. Han, Q., Ma, Y., Xu, W., Lu, Y. and Cheng, A. (2017), "Dynamic characteristics of an inclined flexible cylinder undergoing vortex-induced vibrations", J. Sound Vib., 394, 306-320. https://doi.org/10.1016/j.jsv.2017.01.034.
  13. He, G.S., Wang, J.J., Pan, C., Feng, L.H., Gao, Q. and Rinoshika, A. (2017), "Vortex dynamics for flow over a circular cylinder in proximity to a wall", J. Flu. Mech., 812, 698-720. https://doi.org/10.1016/j.jfluidstructs.2013.07.006.
  14. Hsieh, S.C., Low, Y.M. and Chiew, Y.M. (2016), "Flow characteristics around a circular cylinder subjected to vortex-induced vibration near a plane boundary", J. Flu. Struct., 65, 257-277. https://doi.org/10.1016/j.jfluidstructs.2016.06.007.
  15. Jeong, J.J.J. and Hussain, F. (1995), "On the identification of a vortex", J. Flu. Mech., 332(1), 339-363. https://doi.org/10.1017/S0022112095000462.
  16. Ji, C., Cui, Y., Xu, D., Yang, X. and Srinil, N. (2019b), "Vortex-induced vibrations of dual-step cylinders with different diameter ratios in laminar flows", Phys. Fluids, 31, 073602. https://doi.org/10.1063/1.5097730.
  17. 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.
  18. Ji, C., Zhang, Z., Xu, D. and Srinil, N. (2019a), "Three-dimensional direct numerical simulations of flows past an inclined cylinder near a plane boundary", Proceedings of the 38th International Conference on Ocean, Offshore and Arctic Engineering (OMAE2019), Glasgow, Scotland. June.
  19. Jiang, H. and Cheng, L. (2017), "Strouhal-Reynolds number relationship for flow past a circular cylinder", J. Flu. Mech., 832, 170-188. https://doi.org/10.1017/jfm.2017.685.
  20. Lei, C., Cheng, L. and Kavanagh, K. (1999), "Re-examination of the effect of a plane boundary on force and vortex shedding of a circular cylinder", J. Wind Eng. Ind. Aerod., 80(3), 263-286. https://doi.org/10.1016/S0167-6105(98)00204-9.
  21. Lei, C., Cheng, L., Armfield, S.W. and Kavanagh, K. (2000), "Vortex shedding suppression for flow over a circular cylinder near a plane boundary", Ocean Eng., 27(10), 1109-1127. https://doi.org/10.1016/S0029-8018(99)00033-5.
  22. Li, Z., Yao, W., Yang, K., Jaiman, R.K. and Khoo, B.C. (2016), "On the vortex-induced oscillations of a freely vibrating cylinder in the vicinity of a stationary plane wall", J. Flu. Struct., 65, 495-526. https://doi.org/10.1016/j.jfluidstructs.2016.07.001.
  23. Mansy, H., Yang, P. and Williams D.R. (1994), "Quantitative measurements of spanwise-periodic three-dimensional structures in the wake of a circular cylinder", J. Fluid Mech. 270, 277-296. https://doi.org/10.1017/S0022112094004271.
  24. Mittal, R. and Balachandar, S. (1995), "Effect of three-dimensionality on the lift and drag of nominally two-dimensional cylinders. Phys. Flu., 7(8), 1841. https://doi.org/10.1063/1.868500
  25. Peskin, C.S. (1972), "Flow patterns around heart valves: a numerical method", J. Comput. Phys., 10(2), 252-271. https://doi.org/10.1016/0021-9991(72)90065-4
  26. Ramberg, S.E. (2006), "The effects of yaw and finite length upon the vortex wakes of stationary and vibrating circular cylinders", J. Flu. Mech., 128(128), 81-107. https://doi.org/10.1017/S0022112083000397
  27. Sarkar, S. and Sarkar, S. (2010), "Vortex dynamics of a cylinder wake in proximity to a wall", J. Flu. Struct., 26(1), 19-40. https://doi.org/10.1016/j.jfluidstructs.2009.08.003
  28. Tham, D. M. Y., Gurugubelli, P.S., Li, Z. and Jaiman, R.K. (2015), "Freely vibrating circular cylinder in the vicinity of a stationary wall", J. Flu. Struct., 59, 103-128. https://doi.org/10.1016/j.jfluidstructs.2015.09.003
  29. Thapa, J., Zhao, M., Zhou, T. and Cheng, L. (2014), "Three-dimensional simulation of vortex shedding flow in the wake of a yawed circular cylinder near a plane boundary at a Reynolds number of 500", Ocean Eng., 87, 25-39. https://doi.org/10.1016/j.oceaneng.2014.05.014
  30. Wang, X.K. and Tan, S.K. (2008), "Comparison of flow patterns in the near wake of a circular cylinder and a square cylinder placed near a plane wall", Ocean Eng., 35(5-6), 458-472. https://doi.org/10.1016/j.oceaneng.2008.01.005.
  31. Wang, X.K. and Tan, S.K. (2008), "Near-wake flow characteristics of a circular cylinder close to a wall", J. Flu. Struct., 24(5), 605-627. https://doi.org/10.1016/j.jfluidstructs.2007.11.001.
  32. Wang, X.K., Hao, Z. and Tan, S.K. (2013), "Vortex-induced vibrations of a neutrally buoyant circular cylinder near a plane wall", J. Flu. Struct., 39, 188-204. https://doi.org/10.1016/j.jfluidstructs.2013.02.012.
  33. Williamson, C.H.K. (1996), "Three-dimensional wake transition", J. Flu. Mech., 328(10), 345-407. https://doi.org/10.1017/S0022112096008750.
  34. Williamson, C.H.K. (2003), "Vortex dynamics in the cylinder wake", Annu. Rev. Flu. Mech., 28(1), 477-539. https://doi.org/10.1146/annurev.fl.28.010196.002401.
  35. Williamson, C.H.K. and Roshko, A. (1990), "Measurements of base pressure in the wake of a cylinder at low Reynolds numbers", Zeitschrift fur Flugwissenschaften und Weltraumforschung, 14(1), 38-46. https://doi.org/ 10.2514/3.55610.
  36. Wu, J., Sheridan, J., Soria, J. and Welsh, M.C. (1994), "An experimental investigation of streamwise vortices in the wake of a bluff body", J. Flu. Struct., 8(7), 621-635. https://doi.org/10.1006/jfls.1994.1031.
  37. Xu, W., Ma, Y., Ji, C. and Sun, C. (2018), "Laboratory measurements of vortex-induced vibrations of a yawed flexible cylinder at different yaw angles", Ocean Eng., 154, 27-42. https://doi.org/10.1016/j.oceaneng.2018.01.113.
  38. Yoon, H.S., Lee, J.B., Seo, J.H. and Park, H.S. (2010), "Characteristics for flow and heat transfer around a circular cylinder near a moving wall in wide range of low Reynolds number", Int. J. Heat Mass Transfer, 53(23-24), 5111-5120. https://doi.org/10.1016/j.ijheatmasstransfer.2010.07.054.
  39. Younis, M.Y., Alam, M.M. and Zhou, Y. (2016), "Flow around two nonparallel tandem cylinders", Phys. Flu., 28, 125106. https://doi.org/10.1063/1.4972549.
  40. Zang, Z. and Zhou, T. (2017), "Transverse vortex-induced vibrations of a near-wall cylinder under oblique flows", J. Flu. Struct., 68, 370-389. https://doi.org/10.1016/j.jfluidstructs.2016.11.021.
  41. Zhao, M., Cheng, L. and Zhou, T. (2009), "Direct numerical simulation of three-dimensional flow past a yawed circular cylinder of infinite length", J. Flu. Struct., 25(5), 831-847. https://doi.org/10.1016/j.jfluidstructs.2009.02.004.
  42. Zhao, M., Thapa, J., Cheng, L. and Zhou, T. (2013), "Three-dimensional transition of vortex shedding flow around a circular cylinder at right and oblique attacks", Phys. Flu., 25(1), 014105. https://doi.org/10.1063/1.4788934.
  43. Zhou, T., Wang, H., Razali, S.F.M., Zhou, Y. and Cheng, L. (2010), "Three-dimensional vorticity measurements in the wake of a yawed circular cylinder", Phys. Flu., 22(1), 015108. https://doi.org/10.1063/1.3291072.