Skip to main content
Log in

Numerical Simulation on Flow Past Two Side-by-Side Inclined Circular Cylinders at Low Reynolds Number

  • Technical Notes
  • Published:
China Ocean Engineering Aims and scope Submit manuscript

Abstract

A series of three-dimensional numerical simulations is carried out to investigate the effect of inclined angle on flow behavior behind two side-by-side inclined cylinders at low Reynolds number Re=100 and small spacing ratio T/D=1.5 (T is the center-to-center distance between two side-by-side cylinders, D is the diameter of cylinder). The instantaneous and time-averaged flow fields, force coefficients and Strouhal numbers are analyzed. Special attention is focused on the axial flow characteristics with variation of the inclined angle. The results show that the inclined angle has a significant effect on the gap flow behaviors behind two inclined cylinders. The vortex shedding behind two cylinders is suppressed with the increase of the inclined angle as well as the flip-flop gap flow. Moreover, the mean drag coefficient, root-mean-square lift coefficient and Strouhal numbers decrease monotonously with the increase of the inclined angle, which follows the independent principle at small inclined angles.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Afgan, I., Kahil, Y., Benhamadouche, S. and Sagaut, P., 2011. Large eddy simulation of the flow around single and two side-by-side cylinders at subcritical Reynolds numbers, Physics of Fluids, 23(7), 075101.

    Article  Google Scholar 

  • Afgan, I., Moulinec, C., Prosser, R. and Laurence, D., 2007. Large eddy simulation of turbulent flow for wall mounted cantilever cylinders of aspect ratio 6 and 10, International Journal of Heat and Fluid Flow, 28(4), 561–574.

    Article  Google Scholar 

  • Alam, M.M. and Zhou, Y., 2013. Intrinsic features of flow around two side-by-side square cylinders, Physics of Fluids, 25(8), 085106.

    Article  Google Scholar 

  • Bearman, P.W. and Wadcock, A.J., 1973. The interaction between a pair of circular cylinders normal to a stream, Journal of Fluid Mechanics, 61(3), 499–511.

    Article  Google Scholar 

  • Carini, M., Giannetti, F. and Auteri, F., 2014. On the origin of the flip-flop instability of two side-by-side cylinder wakes, Journal of Fluid Mechanics, 742, 552–576.

    Article  MathSciNet  Google Scholar 

  • Ding, D., Shu, C., Yeo, K.S., and Xu, D., 2007. Numerical simulation of flows around two circular cylinders by mesh-free least square based finite difference methods, International Journal for Numerical Methods in Fluids, 53, 305–332.

    Article  MATH  Google Scholar 

  • Franzini, G.R., Gonçalves, R.T., Meneghini, J.R. and Fujarra, A.L.C., 2014. Experimental investigation into the flow around a stationary and yawed cylinder under asymmetrical end conditions, International Journal of Offshore and Polar Engineering, 24(2), 90–97.

    Google Scholar 

  • Hayashi, T. and Kawamura, T., 1995. Non-uniformity in a flow around a yawed circular cylinder, Flow Measurement and Instrumentation, 6(1), 33–39.

    Article  Google Scholar 

  • Hoerner, S.F., 1958. Fluid-Dynamic Drag: Practical Information on Aerodynamic Drag and Hydrodynamic Resistance, Second ed., Midland Park, New York.

    Google Scholar 

  • Hogan, J.D. and Hall, J.W., 2010. The spanwise dependence of vortex-shedding from yawed circular cylinders, Journal of Pressure Vessel Technology, 132(3), 031301.

    Article  Google Scholar 

  • Hu, G., Tse, K.T., Chen, Z.S. and Kwok, K.C.S., 2017. Particle image velocimetry measurement of flow around an inclined square cylinder, Journal of Wind Engineering and Industrial Aerodynamics, 168, 134–140.

    Article  Google Scholar 

  • Hunt, J.C.R., Wray, A.A. and Moin, P., 1988. Eddies, Streams, and Convergence Zones in Turbulent Flows, Center for Turbulence Research, Stanford, pp. 193–208.

    Google Scholar 

  • Ishigai, S., Nishikawa, E., Nishimura, K. and Cho, K., 1972. Experimental study on structure of gas flow in tube banks with tube axes normal to flow: part 1, Karman vortex flow from two tubes at various spacings, Bulletin of JSME, 15(86), 949–956.

    Article  Google Scholar 

  • Kang, S.M., 2003. Characteristics of flow over two circular cylinders in a side-by-side arrangement at low Reynolds numbers, Physics of Fluids, 15(9), 2486–2498.

    Article  MATH  Google Scholar 

  • Kim, H.J. and Durbin, P.A., 1988. Investigation of the flow between a pair of circular cylinders in the flopping regime, Journal of Fluid Mechanics, 196, 431–448.

    Article  Google Scholar 

  • Lei, C., Cheng, L. and Kavanagh, K., 2001. Spanwise length effects on three-dimensional modelling of flow over a circular cylinder, Computer Methods in Applied Mechanics and Engineering, 190(22–23), 2909–2923.

    Article  MATH  Google Scholar 

  • Li, S.Y. and Gu, M., 2005. Numerical simulation for flow around perpendicular and oblique circular cylinders, Acta Aerodynamica Sinica, 23(2), 222–227. (in Chinese)

    Google Scholar 

  • Liang, H., Jiang, S.Y. and Duan, R.Q., 2015. Spanwise characteristics of flow crossing a yawed circular cylinder of finite length, Procedia Engineering, 126, 83–87.

    Article  Google Scholar 

  • Meneghini, J.R., Saltara, F., Siqueira, C.L.R. and Ferrari Jr, J.A., 2001. Numerical simulation of flow interference between two circular cylinders in tandem and side-by-side arrangements, Journal of Fluids and Structures, 15(2), 327–350.

    Article  Google Scholar 

  • Parnaudeau, P., Carlier, J., Heitz, D. and Lamballais, E., 2008. Experimental and numerical studies of the flow over a circular cylinder at Reynolds number 3900, Physics of Fluids, 20(8), 085101.

    Article  MATH  Google Scholar 

  • Shao, W.Y., Zhang, Y.P., Zhu, D.Z. and Zhang, T.Q., 2013. Drag force on a free surface-piercing yawed circular cylinder in steady flow, Journal of Fluids and Structures, 43, 145–163.

    Article  Google Scholar 

  • Shirakashi, M., Isono, M., and Wakiya, S., 1986. Structure of Karman vortex shedding from a yawed cylinder in a uniform flow, Nihon Kikai Gakkai Ronbunshu B Hen/transactions of the Japan Society of Mechanical Engineers Part B, 52(481), 3152–3158.

    Google Scholar 

  • Sumner, D., Wong, S.S.T., Price, S.J. and Païdoussis, M.P., 1999. Fluid behaviour of side-by-side circular cylinders in steady cross-flow, Journal of Fluids and Structures, 13(3), 309–338.

    Article  Google Scholar 

  • Thakur, A., Liu, X. and Marshall, J.S., 2004. Wake flow of single and multiple yawed cylinders, Journal of Fluids Engineering, 126(5), 861–870.

    Article  Google Scholar 

  • Thapa, J., Zhao, M., Cheng, L. and Zhou, T.M., 2015. Three-dimensional simulations of flow past two circular cylinders in side-by-side arrangements at right and oblique attacks, Journal of Fluids and Structures, 55, 64–83.

    Article  Google Scholar 

  • Thapa, J., Zhao, M., Zhou, T.M. 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 Engineering, 87, 25–39.

    Article  Google Scholar 

  • Tong, F.F., Cheng, L., Zhao, M., Zhou, T.M., Chen, X.B., 2014. The vortex shedding around four circular cylinders in an in-line square configuration, Physics of Fluids, 26(2), 024112.

    Article  Google Scholar 

  • Wang, Z.J. and Zhou, Y., 2005. Vortex interactions in a two side-by-side cylinder near-wake, International Journal of Heat and Fluid Flow, 26(3), 362–377.

    Article  Google Scholar 

  • Williamson, C.H.K., 1985. Evolution of a single wake behind a pair of bluff bodies, Journal of Fluid Mechanics, 159, 1–18.

    Article  Google Scholar 

  • Xu, S.J., Zhou, Y. and So, R.M.C., 2003. Reynolds number effects on the flow structure behind two side-by-side cylinders, Physics of Fluids, 15(5), 1214–1219.

    Article  MATH  Google Scholar 

  • Zdravkovich, M.M., 1977. Review of flow interference between two circular cylinders in various arrangements, Journal of Fluids Engineering, 99(4), 618–633.

    Article  Google Scholar 

  • Zhao, M., Cheng, L. and Zhou, T.M., 2009. Direct numerical simulation of three-dimensional flow past a yawed circular cylinder of infinite length, Journal of Fluids and Structures, 25(5), 831–847.

    Article  Google Scholar 

  • Zhou, C.Y., So, R.M.C., and Lam, K., 1999. Vortex-induced vibrations of an elastic circular cylinder, Journal of Fluids and Structures, 13(2), 165–189.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yang-yang Gao.

Additional information

Foundation item: This research was financially supported by Joint Key Funds of Zhejiang Provincial Natural Science Foundation of China and Powerchina Huadong Engineering Corporation Limited (Grant No. LHZ19E090004), and the National Key R&D Program of China (Grant No. 2018YFD0900901).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, C., Gao, Yy., Qu, Xc. et al. Numerical Simulation on Flow Past Two Side-by-Side Inclined Circular Cylinders at Low Reynolds Number. China Ocean Eng 33, 344–355 (2019). https://doi.org/10.1007/s13344-019-0033-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13344-019-0033-5

Key words

Navigation