不同圆角率的方形断面斯特罗哈数的雷诺数效应研究

PDF(3238 KB)

振动与冲击 ›› 2023, Vol. 42 ›› Issue (11) : 223-231.

论文

杨群1, 2，于畅2，刘小兵1, 2，刘庆宽1,2

作者信息 +

Reynolds number effect of Strouhal number of square prism with different rounded corner ratios

YANG Qun1,2, YU Chang2, LIU Xiaobing1,2, LIU Qingkuan1,2

Author information +

文章历史 +

摘要

通过刚性模型测压风洞试验在均匀流场中测试了标准方形断面及圆角率为0.1、0.2、0.3和0.4的方形断面在不同风向角下、雷诺数Re=0.8×105~3.6×105范围内的表面风压。在获得气动力系数时程的基础上，通过分析升力系数功率谱在试验雷诺数范围内的变化，讨论了圆角率和风向角对斯特罗哈数雷诺数效应的影响规律。结果表明：在试验雷诺数范围内，各风向角下标准方形断面与圆角率为0.1的方形断面斯特罗哈数均基本不受雷诺数的影响；圆角率为0.2、0.3和0.4的方形断面斯特罗哈数分别在0°~2.5°、0°~7.5°和0°~12.5°的小风向角对雷诺数比较敏感，出现了大幅突升现象，圆角率越大，对雷诺数敏感的风向角范围越大。

Abstract

Wind pressure of standard square prism and square prism with four different rounded corner ratios were tested through rigid model pressure-measured wind tunnel tests in uniform wind filed. The Reynolds number Re ranges from 0.8x105 to 3.6x105. The rounded corner ratio is 0.1, 0.2, 0.3 and 0.4, respectively. On the basis of time histories of aerodynamic force coefficients, the variation of lift coefficient power spectrum in test Reynolds number range were analyzed. The influence of rounded corner ratio and wind direction on Reynolds number effect of Strouhal number were discussed. The results show that for standard square prism and square prism with rounded corner ratio 0.1, the Reynolds number effect of Strouhal number is very weak under different wind directions. For square prism with rounded corner ratio 0.2, 0.3 and 0.4, the Reynolds number effect of Strouhal number is significant under small wind directions, corresponding to 0°~2.5°, 0°~7.5° and 0°~12.5°, respectively. The Strouhal number increases dramatically under these small wind direction regions. The larger rounded corner ratio is, the larger wind direction region is.

导出引用

杨群1, 2，于畅2，刘小兵1, 2，刘庆宽1,2. 不同圆角率的方形断面斯特罗哈数的雷诺数效应研究[J]. 振动与冲击, 2023, 42(11): 223-231

YANG Qun1,2, YU Chang2, LIU Xiaobing1,2, LIU Qingkuan1,2. Reynolds number effect of Strouhal number of square prism with different rounded corner ratios[J]. Journal of Vibration and Shock, 2023, 42(11): 223-231

参考文献

[1] LUIGI C, ANDREA F, MICHELA M-B. Experimental investigation on the aerodynamic behavior of square cylinders with rounded corners[J]. Journal of Fluids and Structures, 2014, 44: 195-204.
[2] YI L, XIANG T, KONG F T, et al. Aerodynamic treatments for reduction of wind loads on high-rise buildings[J]. Journal of Wind Engineering and
Industrial Aerodynamics, 2018, 172: 107-115.
[3] 郑德乾, 刘帅永, 马文勇, 等. 倒角切角对方柱气动性能影响的大涡模拟研究[J]. 振动与冲击, 2021, 40(1): 8-14. (ZHENG Deqian, LIU Shuaiyong, MA Wenyong, et al. Large eddy simulation for effects of chamfering and corner cut on aerodynamic performance of square cylinder[J]. Journal of Vibration and Shock, 2021, 40(1): 8-14. (in Chinese))
[4] 顾明, 王新荣. 工程结构雷诺数效应的研究进展[J]. 同济大学学报(自然科学版), 2013, 41(7): 961-969. (GU Ming, WANG Xinrong. Research progress of Reynolds number effect of engineering structures[J]. Journal of Tongji University(Natural Science), 2013, 41(7): 961-969. (in Chinese))
[5] YEN S C, YANG C W. Flow patterns and vortex shedding behavior behind a square cylinder[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2011, 99(8): 868-878.
[6] HUANG R F, LIN B H. Effects of flow patterns on aerodynamic forces of a square cylinder at incidence[J]. Journal of Mechanics, 2011, 27(3): 347-355.
[7] HUANG R F, LIN B H, YEN S C. Time-averaged topological flow patterns and their influence on vortex shedding of a square cylinder in crossflow at incidence[J]. Journal of Fluids and Structures, 2010, 26(3): 406-429.
[8] 王新荣, 顾明. 角部处理的二维方柱风压分布特性的试验研究[J]. 土木工程学报, 2016, 49(7): 10-79. (WANG Xinrong, GU Ming. Experimental study on wind pressure distributions of 2-D square prisms with various corner treatments[J]. China Civil Engineering Journal, 2016, 49(7): 10-79. (in Chinese)).
[9] 刘庆宽, 邵奇, 郑云飞, 等. 雷诺数对圆柱气动力和流场影响的试验研究[J]. 实验流体力学, 2016, 30(4): 7-13. (LIU Qingkuan, SHAO Qi, ZHENG Yunfei, et al. Experimental study on Reynolds number effect on aerodynamic pressure and forces of cylinder[J]. Journal of Experiments in Fluid Mechanics, 2016, 30(4): 7-13. (in Chinese)).
[10] 马文勇, 袁欣欣, 张晓斌, 等. 圆形断面在35k~330k雷诺数范围的气动力特性研究[J]. 工程力学, 2015, 32(增刊): 348-352. (MA Wenyong, YUAN Xinxin, ZHANG Xiaobin, et al. Characteristics of aerodynamic forces on a circular cylinder at Reynolds numbers from 35k to 330k[J]. Engineering Mechanics, 2015, 32(Suppl): 348-352. (in Chinese)).
[11] ONG M C, UTNE T, HOLMEDAL L E, et al. Numerical simulation of flow around a smooth circular cylinder at very high Reynolds numbers. Marine Structures, 2009, 22: 142-153.
[12] ANATOL R. Experiments on the flow past a circular cylinder at very high Reynolds number[J]. Journal of Fluid Mechanics, 1961, 10: 345-356.
[13] GUNTER S. On the force fluctuations acting on a circular cylinder in crossflow from subcritical up to transcritical Reynolds numbers[J]. Journal of Fluid Mechanics, 1983, 133: 265-285.
[14] SAJJAD M, CHANG H S. Influence of incidence angle on the aerodynamic characteristics of square cylinders with rounded corners[J]. International journal of Numerical Methods for Heat and Fluid Flow, 2016, 26(1): 269-283.
[15] 杨群, 刘庆宽, 韩瑞, 等. 不同圆角率的方形断面气动特性的雷诺数效应[J]. 振动与冲击, 2020, 39(4): 150-156. (YANG Qun, LIU Qingkuan, HAN Rui, et al. Reynolds number effect of aerodynamic characteristics of square prism with different rounded corner ratios[J]. Journal of Vibration and Shock, 2020, 39(4): 150-156. (in Chinese))
[16] SAJJAD M, CHANG H S. Numerical study of the rounded corners effect on flow past a square cylinder[J]. International Journal of Numerical Methods for Heat and Fluid Flow, 2015, 25(4): 686-702.
[17] LUIGI C, ANDREA F, MICHELA M B. Effects of free-stream turbulence and corner shape on the galloping instability of square cylinders[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2013, 123: 274-280.
[18] YONG C, TETSURO T. Aerodynamic characteristics of a rounded-corner square cylinder in shear flow at subcritical and supercritical Reynolds numbers[J]. Journal of Fluids and Structures, 2018, 82: 473-491.
[19] YONG C, TETSURO T. Supercritical flows past a square cylinder with rounded corners[J]. Physics of Fluids, 2017, 29(8): 085110.
[20] HINSBERG N P V, SCHEWE G, JACOBS M. Experiments on the aerodynamic behaviour of square cylinders with rounded corners at Reynolds numbers up to 12 million[J]. Journal of Fluids and Structures, 2017, 74: 214-233.
[21] HINSBERG N P V, SCHEWE G, JACOBS M. Experimental investigation on the combined effects of surface roughness and corner radius for square cylinders at high Reynolds numbers up to 107 [J]. Journal of Wind Engineering and Industrial Aerodynamics, 2018, 173: 14-27.
[22] TAMURA T, MIYAGI T. The effect of turbulence on aerodynamic forces on a square cylinder with various corner shapes[J]. Journal of Wind Engineering and Industrial Aerodynamics, 1999, 83(1-3): 135-145.
[23] 郑云飞, 刘庆宽, 马文勇, 等. 端板对二维矩形风洞试验模型气动特性的影响[J]. 实验流体力学, 2017, 31(3): 38-45. (ZHENG Yunfei, LIU Qingkuan, MA Wenyong, et al. Effects of end plates on aerodynamic force of rectangular prisms in wind tunnel test[J]. Journal of Experiments in Fluid Mechanics, 2017, 31(3): 38-45. (in Chinese))
[24] LYN D A, EINAV S, RODI W, et al. A laser-Doppler velocimetry study of ensemble-averaged characteristics of the turbulent near wake of a square cylinder[J]. Journal of Fluid Mechanics, 1995, 304: 285-319.
[25] LEE B E. The effect of turbulence on the surface pressure field of a square prism[J]. Journal of Fluid Mechanics, 1975, 69(2): 263-282.
[26] LUO S, YAZDANI M G, CHEW Y T, et al. Effects of incidence and afterbody shape on flow past bluff cylinders[J]. Journal of Wind Engineering and Industrial Aerodynamics, 1994, 53(3): 375-399.
[27] MURAKAMI S, MOCHIDA A. On turbulent vortex shedding flow past 2D square cylinder predicted by CFD[J]. Journal of Wind Engineering and Industrial Aerodynamics, 1995, 54-55: 191-211.
[28] HANGAN H, KIM J. Aerodynamic slot-control for 2D square prisms[J]. Journal of Wind Engineering and Industrial Aerodynamics, 2003, 91(12-15): 1847-1857.
[29] 杜晓庆, 田新新, 马文勇, 等. 圆角化对方柱气动性能影响的流场机理[J]. 力学学报, 2018, 50(5): 1013-1023. (DU Xiaoqing, TIAN Xinxin, MA Wenyong, et al. Effects of rounded corner on aerodynamics of square cylinders and its flow mechanisms[J]. Chinese Journal of Theoretical and Applied Mechanics, 2018, 50(5): 1013-1023. (in Chinese))
[30] TAMURA T, KUWAHARA K. Numerical study of aerodynamic behavior of a square cylinder[J]. Journal of Wind Engineering and Industrial Aerodynamics, 1990, 33(1-2): 161-170.
[31] BERMAN P W. On vortex shedding from a circular cylinder in the critical Reynolds number régime[J]. Journal of Fluid Mechanics, 1969, 37(3):: 577-585.