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Three-dimensional structure of longitudinal vortices shedding from cruciform two-cylinder systems with different geometries

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Abstract

In previous research the present authors have shown that cross flow vibrations can be induced on a cylinder by setting another cylindrical body downstream in cruciform arrangement with a certain gap s between them. These vibrations are excited by two longitudinal vortices (LVs), i.e. the trailing vortex (TV) and the necklace vortex (NV), shedding periodically near the cross of the system. In this study, LVs shedding from three cruciform systems, i.e. circular-cylinder/circular-cylinder (CC/CC), circular-cylinder/strip-plate (CC/SP) and square-cylinder/strip-plate (SC/SP) system, are observed from three directions using water tunnel and surface-die-streak technique to clarify their three-dimensional structure. The gap-to-diameter ratio s/d is set at 0.08 or 0.28 as the representative values of TV and NV, respectively. Formation of TV or NV depends on the system geometry s/d and Reynolds number Re. In the case of CC/CC, TV is formed at s/d = 0.08 and NV at s/d = 0.28 steadily when 1400 ≤ Re ≤ 2000, and they shed periodically when 3300 ≤ Re ≤ 5700. In the case of CC/SP, steady shedding of TV is observed at the both values of s/d in the lower Re range and periodic shedding is observed only for TV at s/d = 0.08 in the higher Re range, but with poorer periodicity. In the case of SC/SP, NV is formed at the both values of s/d and periodic shedding is not observed up to the highest value of Re = 5000 in this experiment.

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References

  • Bae HM, Baranyi L, Koide M, Takahashi T, Shirakashi M (2001) Suppression of Kármán vortex excitation of a circular cylinder by a second cylinder set downstream in cruciform arrangement. J Comput Appl Mech 2(2):175–188

    MATH  Google Scholar 

  • Fox TA (1992) Interference in the wake of two square-section cylinders arranged perpendicular to each other. J Wind Eng Ind Aerodyn 40(1):75–92. doi:10.1016/0167-6105(92)90522-C

    Article  Google Scholar 

  • Kato N, Koide M, Takahashi T, Shirakashi M (2012) VIVs of a Circular Cylinder with a downstream strip-plate in cruciform arrangement. J Fluids Struct 30:97–114. doi:10.1016/j.jfluidstructs.2012.02.007

    Article  Google Scholar 

  • Kawabata Y, Takahashi T, Haginoya T, Shirakashi M (2013) Interference effect of downstream strip-plate on the cross flow vibrations of a square cylinder. J Fluid Sci Technol 8(3):348–363. doi:10.1299/jfst.8.348

    Article  Google Scholar 

  • Koide M, Kato N, Yamada S, Kawabata Y, Takahashi T, Shirakashi M (2007) Influence of a cruciform arrangement downstream strip plate on crossflow vibration of a square cylinder. J Comput Appl Mech 8(2):135–148

    MATH  Google Scholar 

  • Nguyen TA, Koide M, Takahashi T, Shirakashi M (2010) Universality of longitudinal vortices shedding from cruciform two circular cylinder system in uniform flow. J Fluid Sci 5(3):603–615. doi:10.1299/jfst.5.603

    Article  Google Scholar 

  • Nguyen TA, Koide M, Yamada S, Takahashi T, Shirakashi M (2012) Influence of mass and damping ratios on VIVs of a cylinder with a downstream counterpart in cruciform arrangement. J Fluids Struct 28:40–55. doi:10.1016/j.jfluidstructs.2011.10.006

    Article  Google Scholar 

  • Shirakashi M, Mizuguchi K, Bae HM (1989) Flow-induced excitation of an elastically—supported cylinder caused by another located downstream in cruciform arrangement. J Fluids Struct 3(6):595–607. doi:10.1016/S0889-9746(89)90150-3

    Article  Google Scholar 

  • Shirakashi M, Bae HM, Sano M, Takahashi T (1994) Characteristics of periodic vortex shedding from two cylinders in cruciform arrangement. J Fluids Struct 8(3):239–256. doi:10.1006/jfls.1994.1012

    Article  Google Scholar 

  • Shirakashi M, Takahashi T, Kumagai I, Matsumoto T (2001) Vortex-induced vibration of the upstream cylinder of a two-cylinder system in cruciform arrangement. J Comput Appl Mech 2(1):103–122

    MATH  Google Scholar 

  • Takahashi T, Baranyi L, Shirakashi M (1999) Configuration and frequency of longitudinal vortices shedding from two circular cylinders in cruciform arrangement. J Vis Soc Jpn 19(75):328–336. doi:10.3154/jvs.19.75_328

    Google Scholar 

  • Zdravkovich MM (1983) Interference between two circular cylinders forming a cross. J Fluid Mech 128:231–246. doi:10.1017/S0022112083000464

    Article  Google Scholar 

Download references

Acknowledgements

The authors express gratitude to Mr. Fumihito Kitamura for his contribution in performing the wind tunnel experiments. This research was financially supported by the Malaysian Ministry of Higher Education (MoHE) under the Fundamental Research Grant Scheme (4F479) project of Universiti Teknologi Malaysia.

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Correspondence to Mizuyasu Koide.

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Koide, M., Takahashi, T., Shirakashi, M. et al. Three-dimensional structure of longitudinal vortices shedding from cruciform two-cylinder systems with different geometries. J Vis 20, 753–763 (2017). https://doi.org/10.1007/s12650-017-0419-5

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  • DOI: https://doi.org/10.1007/s12650-017-0419-5

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