DOI QR코드

DOI QR Code

Wake dynamics of a 3D curved cylinder in oblique flows

  • Lee, Soonhyun (Department of Naval Architecture and Ocean Engineering, Inha University) ;
  • Paik, Kwang-Jun (Department of Naval Architecture and Ocean Engineering, Inha University) ;
  • Srinil, Narakorn (School of Engineering, Newcastle University)
  • Received : 2020.01.22
  • Accepted : 2020.07.14
  • Published : 2020.12.31

Abstract

Three-dimensional numerical simulations were performed to study the effects of flow direction and flow velocity on the flow regime behind a curved pipe represented by a curved circular cylinder. The cylinder is based on a previous study and consists of a quarter segment of a ring and a horizontal part at the end of the ring. The cylinder was rotated in the computational domain to examine five incident flow angles of 0-180° with 45° intervals at Reynolds numbers of 100 and 500. The detailed wake topologies represented by λ2 criterion were captured using a Large Eddy Simulation (LES). The curved cylinder leads to different flow regimes along the span, which shows the three-dimensionality of the wake field. At a Reynolds number of 100, the shedding was suppressed after flow angle of 135°, and oblique flow was observed at 90°. At a Reynolds number of 500, vortex dislocation was detected at 90° and 135°. These observations are in good agreement with the three-dimensionality of the wake field that arose due to the curved shape.

Keywords

Acknowledgement

This research was funded and conducted under the Competency Development Program for Industry Specialists of the Korean Ministry of Trade, Industry and Energy (MOTIE), operated by the Korean Institute for Advancement of Technology (KIAT) (No. N0001287, HRD program for Korea-UK Global Engineer Education Program for Offshore Plant). This research made use of the Rocket High Performance Computing service at Newcastle University.

References

  1. Aljure, D., Lehmkuhl, O., Rodriguez, I., Oliva, A., 2017. Three Dimensionality in the Wake of the Flow Around a Circular Cylinder at Reynolds Number 5000. Comput. Fluids 147. https://doi.org/10.1016/j.compfluid.2017.02.004.
  2. Anderson, K., O'Connor, M., 2012. The Evolution of Lazy-S Flexible Riser Configuration Design for Harsh Environments. https://doi.org/10.1115/OMAE2012-83404.
  3. Bearman, P.W., Takamoto, M., 1988. Vortex shedding behind rings and discs. Fluid Dynam. Res. 3, 214-218. https://doi.org/10.1016/0169-5983(88)90068-8.
  4. Blevins, R.D., 1990. Flow-induced Vibration. Van Nostrand Reinhold, New York.
  5. Bloor, M.S., 1964. The transition to turbulence in the wake of a circular cylinder. J. Fluid Mech. 19, 290-304. https://doi.org/10.1017/S0022112064000726.
  6. Gallardo, J.P., Andersson, H.I., Pettersen, B., 2014. Turbulent wake behind a curved circular cylinder. J. Fluid Mech. 742, 192-229. https://doi.org/10.1017/jfm.2013.622.
  7. Gallardo, J.P., Pettersen, B., Andersson, H.I., 2013. Effects of free-slip boundary conditions on the flow around a curved circular cylinder. Comput. Fluids 86, 389-394. https://doi.org/10.1016/j.compfluid.2013.07.023.
  8. Jeong, J., Hussain, F., 1995. On the identification of a vortex. J. Fluid Mech. 285, 69-94. https://doi.org/10.1017/S0022112095000462.
  9. Jiang, F., Pettersen, B., Andersson, H.I., Kim, J., Kim, S., 2018. Wake behind a concave curved cylinder. Phys. Rev. Fluids 3, 94804. https://doi.org/10.1103/PhysRevFluids.3.094804.
  10. Jung, J.-H., Oh, S., Nam, B.-W., Park, B., Kwon, Y.-J., Jung, D., 2019. Numerical study on flow characteristics around curved riser. J. Ocean eng. Technol. 33, 123-130. https://doi.org/10.26748/ksoe.2018.079.
  11. Lehmkuhl, O., Rodriguez, I., Borrell, R., Chiva, J., Oliva, A., 2014. Unsteady forces on a circular cylinder at critical Reynolds numbers. Phys. Fluids 26 (125110). https://doi.org/10.1063/1.4904415.
  12. Lucor, D., Karniadakis, G.E., 2003. Effects of oblique inflow in vortex-induced vibrations. Flow, turbul. Combust 71, 375-389. https://doi.org/10.1023/B.APPL.0000014929.90891.4d.
  13. Miliou, A., De Vecchi, A., Sherwin, S.J., Graham, J.M.R., 2007. Wake dynamics of external flow past a curved circular cylinder with the free stream aligned with the plane of curvature. J. Fluid Mech. 592, 89-115. https://doi.org/10.1017/S0022112007008245.
  14. Miliou, A., Sherwin, S.J., Graham, J.M.R., 2003. Fluid dynamic loading on curved riser pipes. J. Offshore Mech. Arctic Eng. 125, 176-182. https://doi.org/10.1115/1.1576817.
  15. Prasad, A., Williamson, C.H.K., 1997. The instability of the shear layer separating from a bluff body. J. Fluid Mech. 333, 375-402. https://doi.org/10.1017/S0022112096004326.
  16. Ramberg, S.E., 1983. The effects of yaw and finite length upon the vortex wakes of stationary and vibrating circular cylinders. J. Fluid Mech. 128, 81-107. https://doi.org/10.1017/S0022112083000397.
  17. Razali, S.F.M., Zhou, T., Rinoshika, A., Cheng, L., 2010. Wavelet analysis of the turbulent wake generated by an inclined circular cylinder. J. Turbul. 11, 1-14. https://doi.org/10.1080/14685248.2010.482562.
  18. Schlichting Deceased, H., Gersten, K., France, E., nationale superieure des beaux-arts, 2017. Boundary-Layer Theory.
  19. Wei, T., Smith, C.R., 1986. Secondary vortices in the wake of circular cylinders. J. Fluid Mech. 169, 513-533. https://doi.org/10.1017/S0022112086000733.
  20. Williamson, C.H.K., 1996. Vortex dynamics in the cylinder wake. Annu. Rev. Fluid Mech. 28, 477-539. https://doi.org/10.1146/annurev.fl.28.010196.002401.
  21. Williamson, J.H., 1980. Low-storage Runge-Kutta schemes. J. Comput. Phys. 35, 48-56. https://doi.org/10.1016/0021-9991(80)90033-9.
  22. Zhao, M., Cheng, L., Zhou, T., 2009. Direct numerical simulation of threedimensional flow past a yawed circular cylinder of infinite length. J. Fluid Struct. 25, 831-847. https://doi.org/10.1016/j.jfluidstructs.2009.02.004.
  23. Zhou, T., Razali, S.F.M., Zhou, Y., Chua, L.P., Cheng, L., 2009. Dependence of the wake on inclination of a stationary cylinder. Exp. Fluid 46, 1125-1138. https://doi.org/10.1007/s00348-009-0625-6.