The two-dimensional numerical simulation of the vortex induced vibrations of four cylinders in an in-line square arrangement is investigated at low Reynolds number in this paper. The mean and fluctuating aerodynamic forces, Strouhal number (St) and vortex shedding pattern in the wake for each cylinder are analyzed with the six spacing ratio L/D changing from 2.5 to 6.0. The results indicate that the mean drag force and the fluctuating lift forces and the transverse displacements of the upstream cylinders are relatively larger than the downstream cylinders, and the downstream cylinders usually undergoing serious fluctuating streamwise displacement. The dominant frequency of drag coefficient is equal to St of downstream cylinders for all spacing ratio, so the simultaneous resonance in the in-flow and cross-flow directions may occur for downstream structures of multi-body oscillating system. The streamwise oscillation of downstream cylinders which is free to move in two degrees of freedom could be as large as 0.75 diameter, and the maximum transverse amplitude of upstream cylinders may achieve 0.82 diameter, is much higher than the transverse amplitude of flow around a single cylinder at same parameter setting.
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References
Alam Md. Mahbub, Moriya M., Takai K., Sakamoto H. (2003). Fluctuating fluid forces acting on two circular cylinders in a tandem arrangement at a subcritical Reynolds number. Journal of Wind Engineering and Industrial Aerodynamics, 91, 139–154.
Farrant T., Tana M., Price W.G. (2000). A cell boundary element method applied to laminar vortex- shedding from arrays of cylinders in various arrangements. Journal of Fluids and Structures, 14, 375–402.
Farrant T., Tana M., Price W.G. (2001). A cell boundary element method applied to laminar vortex shedding from circular cylinders. Computers & Fluids, 30, 211–236.
Kang Sangmo (2003). Characteristics of flow over two circular cylinders in a side-by-side arrangement at low Reynolds numbers[J]. Physics of Fluids, 15(9), 2486–2498.
Kubo Yoshinobu, Nakahara Tomonari, Kato Kusuo (1995). Aerodynamic behavior of multiple elastic circular cylinders with vicinity arrangement. Journal of Wind Engineering and Industrial Aerodynamics, 54/55, 227–237.
Lam K., Fang X. (1995). The effect of interference of four equispaced cylinders in cross flow on pressure and force coefficient. Journal of Fluid and Structures, 9, 195–214.
Lam K., Gong W.Q., So R.M.C. (2008). Numerical simulation of cross-flow around four cylinders in an in-line square configuration. Journal of Fluids and Structures, 24, 34–57.
Lam K., Jiang G.D., Liu Y., So R.M.C. (2006). Simulation of cross-flow-induced vibration of cylinder arrays by surface vorticity method. Journal of Fluids and Structures, 22, 1113–1311.
Lam K., Li J.Y., Chana K.T., So R.M.C. (2003). Flow pattern and velocity field distribution of cross-flow around four cylinders in a square configuration at a low Reynolds number. Journal of Fluids and Structures, 17, 665–679.
Lin Tsun-kuo, Yu Ming-huei (2005). An experimental study on the cross-flow vibration of a flexible cylinder in cylinder arrays. Experimental Thermal and Fluid Science, 29, 523–536.
Meneghini J.R., Saltara F., Soqueira C.L.R., Ferrari J.A. Jr (2001). Numerical simulation of flow interference between two circular cylinders in tandem and side-by-side arrangements. Journal of Fluid and Structures, 15, 327–350.
Norberg C. (2003). Fluctuating lift on a circular cylinder: review and new measurements. Journal of Fluids and Structures, 17, 57–96.
Sarpkaya T. (2004). A critical review of the intrinsic nature of vortex-induced vibrations. Journal of Fluids and Structures, 19, 389–447.
Sayers A.T. (1988). Flow interference between four equispaced cylinders when subjected to a cross flow. Journal of Wind Engineering and Industrial Aerodynamics, 31, 9–28.
Zdravkovich M.M. (1987). The effects of interference between circular cylinders in cross flow. Journal of Fluids and Structures, 1, 235–261.
Zhou C.Y., So R.M.C., Lam K. (1999). Vortex-induced vibrations of an elastic circular cylinder. Journal of Fluid and Structures, 13, 165–189.
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Xu, F., Ou, J., Xiao, Y. (2009). Numerical Study on Vortex Induced Vibrations of Four Cylinders in an In-Line Square Configuration. In: Yuan, Y., Cui, J., Mang, H.A. (eds) Computational Structural Engineering. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2822-8_61
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DOI: https://doi.org/10.1007/978-90-481-2822-8_61
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