旗面周期摆动的实验研究

白夜; 贾永霞; 李存标; 朱一丁

doi:10.7498/aps.65.124701

摘要

用实验方法研究了旗面周期摆动的运动过程, 采用改进的算法优化了粒子图像测速仪测量结果, 定量获得了水洞中摆动旗面的近壁流场信息. 通过选定旗面包络上的一个拐点, 将其振幅作为特征长度重新计算了旗面运动的Strouhal数. 多组实验结果中, 新的Strouhal 数均为0.21 左右, 这与相同Reynolds数下圆柱绕流的Strouhal数结果相近.

关键词:

A flag flapping in the wind is a classical fluid-structure interaction problem that concerns the interaction of elastic bodies with ambient fluid. The fluid-flag interaction can give rise to three self-sustained oscillation states under certain conditions, i.e., stretched-straight state, periodic state, and chaotic state. This paper reports an experimental study of a cantilevered polydimethylsiloxane (PDMS) flag flapping in a uniform flow at a periodic state. A heavy flag is well designed, with metal strips imbedded in the PDMS sheet. Immersing the elastic but self-sustaining flag into the water flow, we use the time-resolved particle image velocimetry (PIV) and visualization techniques to obtain the whole flow field around the midspan of the flapping flag. A unique PIV image processing method is used to measure the near-wall flow velocities around the flap-ping elastic flag at the periodic state. The image processing technique adopts a radon transform technology to determine the moving interface in the particle images. The interface velocity distribution is subsequently calculated. Artificial particles of uniform size with the interface velocity are added into the flag region. Therefore, the whole velocity field over a flapping period is accurately obtained, giving the basic data to analyze the flag flapping. It is found that there exists an inflection point in the envelope curve of the flag flapping. Based on the analyses of the flapping states and velocity fields, a unified flapping Strouhal number (St = 2Af/U) is proposed by choosing the amplitude of the inflection point as the characteristic length, which is similar to the Strouhal number of the flow around a circular cylinder over the same range of Reynolds number.

Keywords:

作者及机构信息

1.
北京大学工学院, 湍流与复杂系统国家重点实验室, 北京 100871

通信作者: 贾永霞, yongxiajia@pku.edu.cn

基金项目: 国家自然科学基金(批准号: 109103, 010062)、国家重点基础研究发展计划(批准号:2009CB724100)、群体项目(批准号: 10921202, 11221062, 11521091)和国家杰出青年科学基金(批准号: 10921202)资助的课题.

Authors and contacts

1.
State Key Laboratory for Turbulence and Complex Systems, College of Engineering, Peking University, Beijing 100871, China

Corresponding author: Jia Yong-Xia, yongxiajia@pku.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 109103, 010062), the National Climb-B Plan, China (Grant No. 2009CB724100), the Group Project (Grant Nos. 10921202，11221062，11521091), and the National Natural Science Funds for Distinguished Young Scholar Group, China (Grant No. 10921202).

参考文献

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施引文献

[1]	Eloy C, Schouveiler L 2011 J. Non-Linear Mech. 46 568
[2]	Hellum A, Mukherjee R, Hull A 2011 J. Fluid. Struct. 27 1086
[3]	Jafferis N T, Sturm J C 2013 J. Microelectromech. S. 22 495
[4]	Akcabay D T, Young Y L 2012 Phys. Fluids 24 054106
[5]	Doar O, Michelin S 2011 J. Fluid. Struct. 27 1357
[6]	Dunnmon J, Stanton S, Mann B, Dowell E 2011 J. Fluid. Struct. 27 1182
[7]	Giacomello A, Porfiri M 2011 Proceedings of SPIE 7976 797608
[8]	Michelin S, Doar O 2013 J. Fluid Mech. 714 489
[9]	Balint T, Lucey A 2005 J. Fluid. Struct. 20 893
[10]	Huang L 1995 J. Fluid. Struct. 9 127
[11]	Howell R, Lucey A, Carpenter P, Pitman M 2009 J. Fluid. Struct. 25 544
[12]	Zhang J, Childress S, Libchaber A, Shelley M 2000 Nature 408 835
[13]	Watanabe Y, Suzuki S, Sugihara M, Sueoka Y 2002 J. Fluid. Struct. 16 529
[14]	Shelley M, Vandenberghe N, Zhang J 2005 Phys. Rev. Lett. 94 302
[15]	Abderrahmane H A, Padoussis M P, Fayed M, Ng H D 2012 J. Wind Eng. Ind. Aerod. 107108 225
[16]	Eloy C, Lagrange R, Souilliez C, Schouveiler L 2008 J. Fluid Mech. 611 97
[17]	Eloy C, Souilliez C, Schouveiler L 2007 J. Fluid. Struct. 23 904
[18]	Huang W X, Sung H J 2010 J. Fluid Mech. 653 301
[19]	Yu Z, Wang Y, Shao X 2012 J. Sound Vib. 331 4448
[20]	Eloy C, Kofman N, Schouveiler L 2012 J. Fluid Mech. 691 583
[21]	Gibbs S C, Wang I, Dowell E 2012 J. Fluid. Struct. 34 68
[22]	Tang D, Yamamoto H, Dowell E 2003 J. Fluid. Struct. 17 225
[23]	Gao T G, Qin F H, Huang W X, Sun D J 2012 Chin. Phys. Lett. 29 094702
[24]	Michelin S, Smith S L, Glover B 2008 J. Fluid Mech. 617 1
[25]	Tang L, Padoussis M 2007 J. Sound Vib. 305 97
[26]	Tang L, Padoussis M 2008 J. Sound Vib. 310 512
[27]	Gordnier R E, Visbal M R 2002 J. Fluid. Struct. 16 497
[28]	Banerjee S, Connell B S H, Yue D K P 2015 J. Fluid Mech. 783 103
[29]	Gibbs S C, Fichera S, Zanotti A, Ricci S, Dowell E H 2014 J. Fluid. Struct. 48 507
[30]	Cao H C, Shi S X, Liu Y Z 2013 J. Exp. Fluid Mech. 27 58 (in Chinese) [曹洪才, 施圣贤, 刘应征 2013 实验流体力学 27 58]
[31]	Taylor G K, Nudds R L, Thomas A L R 2003 Nature 425 707
[32]	Shelley M J, Zhang J 2011 Annu. Rev. Fluid Mech. 43 449
[33]	Connell B S H, Yue D K P 2007 J. Fluid Mech. 581 33
[34]	Zhu Y D, Yuan H J, Zhang C H, Lee C B 2013 Meas. Sci. Technol. 24 125302
[35]	Lee C B, Su Z, Zhong H J, Chen S Y, Zhou M D, Wu J Z 2013 J. Fluid Mech. 732 77
[36]	Zhong H J, Lee C B, Su Z, Chen S Y, Zhou M D, Wu J Z 2013 J. Fluid Mech. 716 228
[37]	Shelley M J, Zhang J 2011 Annu. Rev. Fluid Mech. 43 449
[38]	Rohr J J, Fish F E 2007 J. Exp. Biol. 207 1633
[39]	Virot E, Amandolese X, Hemon P 2013 J. Fluid. Struct. 43 385

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