Abstract
We experimentally investigate the interference effects of a pair of adjacent rods on the aerodynamic characteristics and wake flow patterns of a circular cylinder. The diameter of the rods \(d=0.1D\), where D is the diameter of the main cylinder. The parameters of the small rods include configuration angles \(\alpha\) and gap ratios G/D, where G is the gap distance to the main cylinder. The Reynolds number Re is 32000 within the subcritical range. The flow measurements include surface pressure measurements and particle image velocimetry (PIV) visualizations. Pressure measurement results demonstrate that the rods can change the surface pressure distributions so as to alter the aerodynamic forces acting on the main cylinder. The fluctuating lift coefficient can be reduced by up to 80 % than the baseline case when the rods are placed on the rear side of the cylinder and with a large gap ratio, i.e., \(\alpha ={150}^{\circ }\) and \(G/D=0.7\). The mean drag coefficient can be decreased by up to 57 % when the rods are placed upstream of the cylinder with a relatively small gap ratio (\(\alpha ={30}^{\circ }\) and \(G/D=0.1\)). However, such aerodynamic effects become worse with certain rod configurations. PIV-visualized flow reveals that the rods can also affect the vortex shedding process, boundary-layer interaction and shear layers. Moreover, the distributions of the time-averaged velocity, streamline, turbulence kinetic energy and Reynolds stresses can also be modified in certain test cases.
Graphical abstract
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References
Alonzo-Garcia A, Cuevas-Martinez J, Gutiérrez-Torres CC, Jiménez-Bernal JA, Martinez-Delgadillo SA, Medina-Pérez R (2021) The control of unsteady forces and wake generated in circular and square cylinder at laminar periodic regime by using different rod geometries. Ocean Eng 233:109121. https://doi.org/10.1016/j.oceaneng.2021.109121
Bearman PW (2011) Circular cylinder wakes and vortex-induced vibrations. J Fluids Struct 27(5–6):648–658. https://doi.org/10.1016/j.jfluidstructs.2011.03.021
Brunton SL, Kutz JN (2019) Data-driven science and engineering: Machine learning, dynamical systems, and control. Cambridge University Press, Cambridge
Chen Wen-Li, Li Hui, Hui Hu (2014) An experimental study on a suction flow control method to reduce the unsteadiness of the wind loads acting on a circular cylinder. Exp Fluids 55(4):1707. https://doi.org/10.1007/s00348-014-1707-7
Choi Haecheon, Jeon Woo-Pyung, Kim Jinsung (2008) Control of flow over a bluff body. Ann Rev Fluids Mech 40(1):113–139. https://doi.org/10.1146/annurev.fluid.39.050905.110149
Donglai Gao Xu, Chang Tayir Tursuntohti, Haiyang Yu, Chen Wen-Li (2022) Modification of subcritical cylinder flow with an upstream rod. Phys Fluids 34(1):015107. https://doi.org/10.1063/5.0075167
Fan Dixia, Baiheng Wu, Bachina Divya, Triantafyllou Michael S (2019) Vortex-induced vibration of a piggyback pipeline half buried in the seabed. J Sound Vib 449:182–195. https://doi.org/10.1016/j.jsv.2019.02.038
Feng Li-Hao, Wang Jin-Jun, Pan Chong (2011) Proper orthogonal decomposition analysis of vortex dynamics of a circular cylinder under synthetic jet control. Phys Fluids 23(1):014106. https://doi.org/10.1063/1.3540679
Gao Dong-Lai, Chen Wen-Li, Li Hui, Hui Hu (2017) Flow around a circular cylinder with slit. Exp Therm Fluid Sci 82:287–301. https://doi.org/10.1016/j.expthermflusci.2016.11.025
Gao Dong-Lai, Chen Wen-Li, Li Hui, Hui Hu (2017) Flow around a slotted circular cylinder at various angles of attack. Exp Fluids 58(10):132. https://doi.org/10.1007/s00348-017-2417-8
Gao Donglai, Huang Yewei, Chen Wen-Li, Chen Guanbin, Li Hui (2019) Control of circular cylinder flow via bilateral splitter plates. Phys Fluids 31(5):057105. https://doi.org/10.1063/1.5097309
Gao D, Chen G, Chen W, Huang Y, Li H (2019) Active control of circular cylinder flow with windward suction and leeward blowing. Exp Fluids. https://doi.org/10.1007/s00348-018-2676-z
Haiyang Yu, Chen Wen-Li, Huang Yewei, Meng Hao, Gao Donglai (2021) Dynamic wake of a square cylinder controlled with steady jet positioned at the rear stagnation point. Ocean Eng 233:109157. https://doi.org/10.1016/j.oceaneng.2021.109157
Holmes P, Lumley JL, Berkooz G, Rowley CW (2012) Turbulence coherent structures, dynamical systems and symmetry. Cambridge University Press, Cambridge
Huang Yongming, He Xuhui, Zou Yunfeng, Gao Donglai (2021) Pressure distribution, aerodynamic forces and wake-vortex evolution of a sectional cable model controlled with steady windward-and-leeward jets. J Vis 24(6):1155–1172. https://doi.org/10.1007/s12650-021-00767-x
Jiang Yi, Mao Mei-Liang, Deng Xiao-Gang, Liu Hua-Yong (2015) Numerical investigation on body-wake flow interaction over rod-airfoil configuration. J Fluid Mech 779:1–35. https://doi.org/10.1017/jfm.2015.419
Jiménez-González JI, Huera-Huarte FJ (2018) Vortex-induced vibrations of a circular cylinder with a pair of control rods of varying size. J Sound Vib 431:163–176. https://doi.org/10.1016/j.jsv.2018.06.002
Jun Yi, Li QS (2015) Wind tunnel and full-scale study of wind effects on a super-tall building. J Fluids Struct 58:236–253. https://doi.org/10.1016/j.jfluidstructs.2015.08.005
Keefe Roger T (1962) Investigation of the fluctuating forces acting on a stationary circular cylinder in a subsonic stream and of the associated sound field. J Acoust Soc Am 34(11):1711–1714. https://doi.org/10.1121/1.1909102
Kim W-J, Perkins NC (2002) Two-dimensional vortex-induced vibration of cable suspensions. J Fluids Struct 16(2):229–245. https://doi.org/10.1006/jfls.2001.0418
Meyer KE, Pedersen JM, Özcan O (2007) A turbulent jet in crossflow analysed with proper orthogonal decomposition. J Fluid Mech 583:199–227. https://doi.org/10.1017/s0022112007006143
Moeller MJ, Leehey P (1984) Unsteady forces on a cylinder in cross flow at subcritical Reynolds numbers. In: Paidoussis MP, Griffin OM, Sevik M (eds), ASME symposium on flow-induced vibrations, ASME, p 57–71
Morkovin MV (1964) Flow around circular cylinders: a kaleidoscope of challenging fluid phenomena. In: Proceeding ASME symposium on fully separated flow, Philadelphia, p 102–118
Munson BR, Young DF, Okiishi TH, Huebsch WW (2009) Fundamentals of fluid mechanics. Wiley, New York
Norberg C (2001) Flow around a circular cylinder: aspects of fluctuating lift. J Fluids Struct 15(3):459–469. https://doi.org/10.1006/jfls.2000.0367
Païdoussis MP (2006) Real-life experiences with flow-induced vibration. J Fluids Struct 22(6–7):741–755. https://doi.org/10.1016/j.jfluidstructs.2006.04.002
Revell James D, Prydz Roland A, Hays Anthony P (1978) Experimental study of aerodynamic noise vs drag relationships for circular cylinders. AIAA J 16(9):889–897. https://doi.org/10.2514/3.60982
Schlichting H, Gersten K (2017) Boundary-layer theory. Springer, Berlin, Heidelberg
Szepessy S, Bearman PW (1992) Aspect ratio and end plate effects on vortex shedding from a circular cylinder. J Fluid Mech 234:191–217. https://doi.org/10.1017/s0022112092000752
Trim AD, Braaten H, Lie H, Tognarelli MA (2005) Experimental investigation of vortex-induced vibration of long marine risers. J Fluids Struct 21(3):335–361. https://doi.org/10.1016/j.jfluidstructs.2005.07.014
van Oudheusden BW, Scarano F, van Hinsberg NP, Watt DW (2005) Phase-resolved characterization of vortex shedding in the near wake of a square-section cylinder at incidence. Exp Fluids 39(1):86–98. https://doi.org/10.1007/s00348-005-0985-5
Wang JJ, Zhang PF, Lu SF, Wu K (2006) Drag reduction of a circular cylinder using an upstream rod. Flow Turbul Combust 76(1):83–101. https://doi.org/10.1007/s10494-005-9008-0
Wieselsberger C (1922) New data on the laws of fluid resistance. Technical report NACA-TN-84, NACA
Xia Chao, Wei Zheng, Yuan Haidong, Li Qiliang, Yang Zhigang (2018) POD analysis of the wake behind a circular cylinder coated with porous media. J Vis 21(6):965–985. https://doi.org/10.1007/s12650-018-0511-5
Xiang Yang, Qin Suyang, Huang Wentao, Wang Fuxin, Liu Hong (2017) Trajectory modes and wake patterns of freely falling plates. J Vis 21(3):433–441. https://doi.org/10.1007/s12650-017-0469-8
Yang Wenhan, Huang Yewei, Gao Donglai, Chen Wenli (2021) Ludwig Prandtl’s envisage: elimination of von Kármán vortex street with boundary-layer suction. J Vis 24(2):237–250. https://doi.org/10.1007/s12650-020-00708-0
Zdravkovich MM (1994) Flow around circular cylinders, volume I: fundamentals. Oxford Science Publication, Oxford
Zhou Xiao, Wang JinJun, Ye Hu (2019) Experimental investigation on the flow around a circular cylinder with upstream splitter plate. J Vis 22(4):683–695. https://doi.org/10.1007/s12650-019-00560-x
Zhu Hongjun, Liu Wenli (2020) Flow control and vibration response of a circular cylinder attached with a wavy plate. Ocean Eng 212:107537. https://doi.org/10.1016/j.oceaneng.2020.107537
Acknowledgements
The experimental study was financed by the National Natural Science Foundation of China (52278494, 52008140 and U2106222).
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Yu, H., Gao, D., Chen, WL. et al. Effects of a pair of adjacent rods on circular cylinder flow. J Vis 26, 1037–1053 (2023). https://doi.org/10.1007/s12650-023-00919-1
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DOI: https://doi.org/10.1007/s12650-023-00919-1