Reynolds number effect on aerodynamic characteristics of a rotating circular cylinder
MA Wenyong1,2,3, LIU Jianhan1, ZHANG Xiaobin1, LI Yuxue1
1.School of Civil Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043, China;
2.Innovation Center for Wind Engineering and Wind Energy Technology of Hebei Province, Shijiazhuang 050043, China;
3.State Key Lab of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang 050043, China
Abstract:The asymmetric flow field around a rotating cylinder produce a lateral force (lift) on the cylinder, which can be widely applied in navigation and wind energy utilization. By measuring the aerodynamic force of a rotating cylinder at different rotating speeds and wind speeds, the aerodynamic characteristics on the rotating cylinder and the wake in different Reynolds number ranges are discussed in the present study. The results show that the Reynolds number significantly influences the aerodynamic force on the rotating cylinder. The mechanism of the formation of the lift on the rotating cylinder in the subcritical Reynolds number range is attributed to the Magnus effect, in which the lift points to the side of the tangential speed of the rotating cylinder as same as the wind speed. The lift increases with the increase of the speed ratio. In the critical Reynolds number range, the rotation of the cylinder forms a reattachment on the side which the tangential speed is opposite to the wind speed. The reattachment induces a separation bubble and creates lift pointing to this side. Moreover, the Reynolds number effect is influenced by the rotating speed. As the rotating speed increases, the Reynolds number at the drag crisis decreases. The flow reattaches at larger Reynolds number range at higher rotating speed.
马文勇1,2,3,刘剑寒1,张晓斌1,李玉学1. 旋转圆柱气动特性的雷诺数效应研究[J]. 振动与冲击, 2022, 41(7): 46-52.
MA Wenyong1,2,3, LIU Jianhan1, ZHANG Xiaobin1, LI Yuxue1. Reynolds number effect on aerodynamic characteristics of a rotating circular cylinder. JOURNAL OF VIBRATION AND SHOCK, 2022, 41(7): 46-52.
[1] Hastings R B. THE FLETTNER "ROTOR SHIP."[J]. Journal of the American Society for Naval Engineers, 2010, 37(1):156-159.
[2] Fiesser L. UniKat-Flensburg. Flettner-Rotor als alternativer Schiffsantrieb [J]. Physik in Unserer Zt, 2010, 40(5):256-259.
[3] Crimi P. Performance assessment of a flettner wind turbine [J]. Journal of Energy, 1980, 4(6):281−283.
[4] Zdravkovich M M. Flow around circular cylinder, Vol. 1, Fundamentals [M]. New York: Oxford University Press, 1997: 19−198.
[5] Magnus G. On the deflection of a projectile [J]. Poggendorffs Annalen der Physik und Chemie, 1853, 88(1): 804−810.
[6] Pezzotti S , Mora V N , A. Sanz Andrés, et al. Experimental study of the Magnus effect in cylindrical bodies with 4, 6, 8 and 10 sides [J]. Journal of Wind Engineering and Industrial Aerodynamics, 2020, 197:104065.
[7] Swanson W M. The magnus effect: A summary of investigations to date [J]. Journal of Basic Engineering, 1961, 83(3): 461−470.
[8] Takayama S, Aoki K. Flow characteristics around a rotating grooved circular cylinder with grooved of different depths [J]. Journal of Visualization, 2005, 8(4): 295−303.
[9] Badalamenti C. On the application of rotating cylinders to micro air vehicles [D]. London: City University, 2010.
[10] Bordogna G, Muggiasca S, Giappino S, et al. Experiments on a flettner rotor at critical and supercritical Reynolds numbers [J]. Journal of Wind Engineering & Industrial Aerodynamics, 2019, 188: 19−29.
[11] Yazdi M J E, Rad A S, Khoshnevis A B. Features of the flow over a rotating circular cylinder at different spin ratios and Reynolds numbers: Experimental and numerical study [J]. European Physical Journal Plus, 2019, 134(5): 189.
[12] Krahn E. Negative magnus force [J]. Journal of the Aeronautical Sciences, 1956, 23: 377−378.
[13] Zhiwei Zheng, Juanmian Lei, Xiaosheng Wu. Numerical Simulation of the Negative Magnus Effect of a Two-Dimensional Spinning Circular Cylinder [J]. Flow, Turbulence and Combustion,2017,98(1): 109-130.
[14] Cooper K R, Mercker E, Wiedemann J. Improved blockage correction for bluff bodies in closed and open wind tunnels[C]//Procceedings of the10th International Conference on Wind Engineering. Copenhagen: A A Balkema Publishers, 1999: 1627-1634
[15] Beitel A, Heng H, Sumner D. The effect of aspect ratio on the aerodynamic forces and bending moment for a surface-mounted finite-height cylinder [J]. Journal of Wind Engineering and Industrial Aerodynamics, 2019, 186: 204-213
[16] Ma W , Liu Q , Macdonald J H G , et al. The effect of surface roughness on aerodynamic forces and vibrations for a circular cylinder in the critical Reynolds number range [J]. Journal of Wind Engineering and Industrial Aerodynamics, 2019, 187: 61-72.
[17] NIKITAS N, MACDONALD J H G. Aerodynamic forcing characteristics of dry cable galloping at critical Reynolds numbers [J]. European Journal of Mechanics Fluids, 2015, 49, 243-249.
[18] 刘庆宽, 张峰, 马文勇, 等. 斜拉索雷诺数效应与风致振动的试验研究. 振动与冲击, 2011, 30(12):114-119.
Liu qingkuan, Zhang Feng, Ma Wenyong, Wang Yi. Experimental study on Reynolds number effect and wind induced vibration of stay cables [J]. Journal of Vibration and Shock, 2011, 30 (12): 114-119.
[19] 沈国辉, 姚剑锋, 郭勇, 等.直径30 cm圆柱的气动力参数和绕流特性研究. 振动与冲击, 2020, 39(06): 22-28.
Shen Guohui, Yao Jianfeng, Guo Yong, et al. Aerodynamic parameters and flow characteristics of a 30 cm diameter cylinder. Journal of Vibration and Shock, 2020,39 (06): 22-28.
[20] ESDU 80025. Mean forces, pressures and flow field velocities for circular cylindrical structures: Single cylinder with two-dimensional flow [R]. London, UK: Engineering Sciences Data Unit, 1980.
[21] Bordogna G, Muggiasca S, Giappino S, et al. Windtunnel experiments on a large-scale flettner rotor: INVENTO 2018 [C]// Proceedings of the XV Conference of the Italian Association for Wind Engineering. Naples: Ricciardelli F, Avossa A M, 2019: 110−123.
[22] Jan O. Pralits, Flavio Giannetti, Luca Brandt. Three-dimensional instability of the flow around a rotating circular cylinder [J]. Journal of Fluid Mechanics, 2013,730: 5-18.
[23] Wei Chen, Chang-Kyu Rheem. Experimental investigation of rotating cylinders in flow [J]. Journal of Marine Science and Technology, 2019,24(1): 111-122.
[24] 陈威霖, 及春宁, 许栋. 不同控制角下附加圆柱对圆柱涡激振动影响. 力学学报, 2019,51(02): 432-440.
Chen Weilin, Ji Chunning, Xu Dong. Effects of the added cylinders with different control angles on the vortex-induced vibrations of a circular cylinder [J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(02): 432-440.
[25] 杜晓庆, 邱涛, 赵燕. 低雷诺数串列双方柱流致振动质量比效应的数值研究. 力学学报, 2019, 51(06): 1740-1751.
Du Xiaoqing, Qiu Tao, Zhao Yan. Numerical investigation of mass ratio effect on flow-induced vibration of two tandem square cylinders at low Reynolds number [J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(06): 1740-1751.
[26] 刘俊, 高福平. 近壁面柱体涡激振动的迟滞效应. 力学学报, 2019, 51(06): 1630-1640.
Liu Jun, Gao Fuping. Hysteresis in vortex-induced vibrations of a near-wall cylinder [J]. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(06): 1630-1640.
[27] Wei Chen, Chang-Kyu Rheem, Yongshui Lin, et al. Experimental investigation of the whirl and generated forces of rotating cylinders in still water and in flow [J]. International Journal of Naval Architecture and Ocean Engineering, 2020,12: 531-540.
[28] Wei Wang, Yuwei Wang, Dagang Zhao, et al. Numerical and Experimental Analysis of the Hydrodynamic Performance of a Three-Dimensional Finite-Length Rotating Cylinder [J]. Journal of Marine Science and Application,2020,19(8): 388-397.
[29] 李聪洲, 张新曙, 胡晓峰, 等. 高雷诺数下多柱绕流特性研究. 力学学报, 2018, 50(02): 233-243.
Li Congzhou, Zhang Xinshu, Hu Xiaofeng, et al. The study of flow past multiple cylinders at high Reynolds numbers [J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(02): 233-243.
[30] Lele A , Rao K V S . Net power generated by flettner rotor for different values of wind speed and ship speed [C]// 2017 International Conference on Circuit, Power and Computing Technologies (ICCPCT). IEEE, 2017.
[31] Traut M , Gilbert P , Walsh C , et al. Propulsive power contribution of a kite and a Flettner rotor on selected shipping routes [J]. Applied Energy, 2014, 113: 362-372.
[32] Copuroglu, Hasan, Islam, et al. Analysis of Flettner Rotor ships in beam waves [J]. Ocean Engineering, 2018, 150: 352-362.