Flow Behavior Behind A Freely Suspended Cylinder in the Wake of A Stationary Cylinder
doi: 10.1007/s13344-020-0064-y
-
Abstract: The experiment of flow past a freely suspended circular cylinder in the wake of an upstream stationary cylinder was carried out in a re-circulating water channel using the Particle Image Velocimetry (PIV) technique. The upstream cylinder was fixed, while the downstream cylinder was suspended from a platform and allowed to move freely in the horizontal plane. The centre-to-centre spacing ratio between two tandem cylinders was initially kept at a constant value of 3.0. The instantaneous flow field and the orbital trajectories were analyzed to reveal the effect of the presence of the upstream cylinder and flow velocity on the dynamic response of the downstream suspended cylinder. The results showed that the upstream stationary cylinder has significant effect on modifying the flow patterns behind two tandem cylinders. Different trajectories of the downstream suspended cylinder with variation of flow velocity U were observed, such as: (1) depicting a figure-8 type motion at U = 0.27 m/s; (2) undergoing intermittent oscillations as it travels downstream at 0.3 m/s ≤ U ≤ 0.37 m/s; (3) successive moving downstream, no obvious streamwise oscillation observed at U = 0.43 m/s.
-
Key words:
- downstream suspended cylinder /
- PIV /
- camera /
- orbital response /
- flow pattern
-
Figure 2. Time history of non-dimensional transverse displacement of the downstream suspended cylinder at different U.
Figure 3. Time history of non-dimensional streamwise displacement of the downstream suspended cylinder at different U.
Figure 4. Motion trajectory of the freely suspended cylinder in the wake of a stationary one at different U.
Figure 5. Power Spectra of the x-y displacement of the downstream suspended cylinder at different U.
Figure 6. Instantaneous streamline topologies (top row) and vorticity contours (bottom row) behind the downstream suspended cylinder at U =0.27 m/s.
Figure 10. Instantaneous streamline topologies (top row) and vorticity contours (bottom row) behind the freely suspended cylinder at U =0.43 m/s.
Figure 7. Instantaneous streamline topologies (top row) and vorticity contours (bottom row) behind the freely suspended cylinder at U =0.3 m/s.
Figure 8. Instantaneous streamline topologies (top row) and vorticity contours (bottom row) behind the freely suspended cylinder at U =0.33 m/s.
Figure 9. Instantaneous streamline topologies (top row) and vorticity contours (bottom row) behind the freely suspended cylinder at U =0.37 m/s.
-
[1] Assi, G.R.S., Meneghini, J.R., Aranha, J.A.P., Bearman, P.W. and Casaprima, E., 2006. Experimental investigation of flow-induced vibration interference between two circular cylinders, Journal of Fluids and Structures, 22(6–7), 819–827. [2] Bao, Y., Huang, C., Zhou, D., Tu, J.H. and Han, Z.L., 2012. Two-degree-of-freedom flow-induced vibrations on isolated and tandem cylinders with varying natural frequency ratios, Journal of Fluids and Structures, 35, 50–75. doi: 10.1016/j.jfluidstructs.2012.08.002 [3] Borazjani, I. and Sotiropoulos, F., 2009. Vortex-induced vibrations of two cylinders in tandem arrangement in the proximity-wake interference region, Journal of Fluid Mechanics, 621, 321–364. doi: 10.1017/S0022112008004850 [4] Brika, D. and Laneville, A., 1999. The flow interaction between a stationary cylinder and a downstream flexible cylinder, Journal of Fluids and Structures, 13(5), 579–606. doi: 10.1006/jfls.1999.0220 [5] Carmo, B.S. and Meneghini, J.R., 2006. Numerical investigation of the flow around two circular cylinders in tandem, Journal of Fluids and Structures, 22(6–7), 979–988. [6] Carmo, B.S., Sherwin, S.J., Bearman, P.W. and Willden, R.H.J., 2011. Flow-induced vibration of a circular cylinder subjected to wake interference at low Reynolds number, Journal of Fluids and Structures, 27(4), 503–522. doi: 10.1016/j.jfluidstructs.2011.04.003 [7] Gao, Y.Y., Sun, Z.L., Tan, D.S., Yu, D.Y. and Tan, S.K., 2014. Wake flow behaviour behind a smaller cylinder oscillating in the wake of an upstream stationary cylinder, Fluid Dynamics Research, 46(2), 025505. doi: 10.1088/0169-5983/46/2/025505 [8] Gao, Y.Y., Tan, D.S., Zhang, B.Z. and Tan, S.K., 2015. Experimental study on orbital response and flow behavior behind a freely suspended cylinder, Ocean Engineering, 108, 439–448. doi: 10.1016/j.oceaneng.2015.08.027 [9] Huera-Huarte, F.J. and Gharib, M., 2011. Vortex- and wake-induced vibrations of a tandem arrangement of two flexible circular cylinders with far wake interference, Journal of Fluids and Structures, 27(5–6), 824–828. [10] Kim, S., Alam, M.M., Sakamoto, H. and Zhou, Y., 2009. Flow-induced vibrations of two circular cylinders in tandem arrangement. Part 1: characteristics of vibration, Journal of Wind Engineering and Industrial Aerodynamics, 97(5–6), 304–311. [11] Lam, K. and Zou, L., 2010. Three-dimensional numerical simulations of cross-flow around four cylinders in an in-line square configuration, Journal of Fluids and Structures, 26(3), 482–502. doi: 10.1016/j.jfluidstructs.2010.01.001 [12] Lau, Y.L., So, R.M.C. and Leung, R.C.K., 2004. Flow-induced vibration of elastic slender structures in a cylinder wake, Journal of Fluids and Structures, 19(8), 1061–1083. doi: 10.1016/j.jfluidstructs.2004.06.007 [13] Mahir, N. and Rockwell, D., 1996. Vortex formation from a forced system of two cylinders. Part I: tandem arrangement, Journal of Fluids and Structures, 10(5), 473–489. doi: 10.1006/jfls.1996.0032 [14] Norberg, C., 2003. Fluctuating lift on a circular cylinder: review and new measurements, Journal of Fluids and Structures, 17(1), 57–96. doi: 10.1016/S0889-9746(02)00099-3 [15] Papaioannou, G.V., Yue, D.K.P., Triantafyllou, M.S. and Karniadakis, G.E., 2008. On the effect of spacing on the vortex-induced vibrations of two tandem cylinders, Journal of Fluids and Structures, 24(6), 833–854. doi: 10.1016/j.jfluidstructs.2007.11.006 [16] Prasanth, T.K. and Mittal, S., 2009. Flow-induced oscillation of two circular cylinders in tandem arrangement at low Re, Journal of Fluids and Structures, 25(6), 1029–1048. doi: 10.1016/j.jfluidstructs.2009.04.001 [17] Price, S.J., Païdoussis, M.P. and Krishnamoorthy, S., 2007. Cross-flow past a pair of nearly in-line cylinders with the upstream cylinder subjected to a transverse harmonic oscillation, Journal of Fluids and Structures, 23(1), 39–57. doi: 10.1016/j.jfluidstructs.2006.07.006 [18] Slaouti, A. and Gerrard, J.H., 1981. An experimental investigation of the end effects on the wake of a circular cylinder towed through water at low Reynolds numbers, Journal of Fluid Mechanics, 112, 297–314. doi: 10.1017/S0022112081000414 [19] Sumner, D., 2010. Two circular cylinders in cross-flow: A review, Journal of Fluids and Structures, 26(6), 849–899. doi: 10.1016/j.jfluidstructs.2010.07.001 [20] Wang, X.K., Gong, K., Liu, H., Zhang, J.X. and Tan, S.K., 2013. Flow around four cylinders arranged in a square configuration, Journal of Fluids and Structures, 43, 179–199. doi: 10.1016/j.jfluidstructs.2013.08.011 [21] West, G.S. and Apelt, C.J., 1993. Measurements of fluctuating pressures and forces on a circular cylinder in the Reynolds number range 104 to 2.5×105, Journal of Fluids and Structures, 7(3), 227–244. doi: 10.1006/jfls.1993.1014 [22] Xu, S.J., Zhou, Y. and Tu, J.Y., 2008. Two–dimensionality of a cantilevered-cylinder wake in the presence of an oscillating upstream cylinder, Journal of Fluids and Structures, 24(4), 467–480. doi: 10.1016/j.jfluidstructs.2007.10.006 [23] Yang, X.F. and Zheng, Z.C., 2010. Nonlinear spacing and frequency effects of an oscillating cylinder in the wake of a stationary cylinder, Physics of Fluids, 22(4), 043601. doi: 10.1063/1.3372169 [24] Zdravkovich, M.M., 1985. Flow induced oscillations of two interfering circular cylinders, Journal of Sound Vibration, 101(4), 511–521. -
下载:
点击查看大图
图(11)
计量
- 文章访问数: 224
- HTML全文浏览量: 101
- PDF下载量: 0
- 被引次数: 0
京公网安备 11010502036328号 京ICP备17033152号