Please wait a minute...
Chin. Phys. B, 2018, Vol. 27(10): 104701    DOI: 10.1088/1674-1056/27/10/104701
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

Coherent structures over riblets in turbulent boundary layer studied by combining time-resolved particle image velocimetry (TRPIV), proper orthogonal decomposition (POD), and finite-time Lyapunov exponent (FTLE)

Shan Li(李山)1, Nan Jiang(姜楠)1, Shaoqiong Yang(杨绍琼)1, Yongxiang Huang(黄永祥)2, Yanhua Wu(吴彦华)3
1 School of Mechanical Engineering, Tianjin University, Tianjin 300072, China;
2 Xiamen University, Xiamen 361102, China;
3 Nanyang Technological University, Singapore 639798, Republic of Singapore
Abstract  

Time-resolved particle image velocimetry (TRPIV) experiments are performed to investigate the coherent structure's performance of riblets in a turbulent boundary layer (TBL) at a friction Reynolds number of 185. To visualize the energetic large-scale coherent structures (CSs) over a smooth surface and riblets, the proper orthogonal decomposition (POD) and finite-time Lyapunov exponent (FTLE) are used to identify the CSs in the TBL. Spatial-temporal correlation is implemented to obtain the characters and transport properties of typical CSs in the FTLE fields. The results demonstrate that the generic flow structures, such as hairpin-like vortices, are also observed in the boundary layer flow over the riblets, consistent with its smooth counterpart. Low-order POD modes are more sensitive to the riblets in comparison with the high-order ones, and the wall-normal movement of the most energy-containing structures are suppressed over riblets. The spatial correlation analysis of the FTLE fields indicates that the evolution process of the hairpin vortex over riblets are inhibited. An apparent decrease of the convection velocity over riblets is noted, which is believed to reduce the ejection/sweep motions associated with high shear stress from the viscous sublayer. These reductions exhibit inhibition of momentum transfer among the structures near the wall in the TBL flows.

Keywords:  turbulent boundary layer      riblets      proper orthogonal decomposition      finite-time Lyapunov exponent  
Received:  29 April 2018      Revised:  20 June 2018      Published:  05 October 2018
PACS:  47.27.De (Coherent structures)  
  47.27.nb (Boundary layer turbulence ?)  
  47.85.lb (Drag reduction)  
  47.85.ld (Boundary layer control)  
Fund: 

Project supported by the National Natural Science Foundation of China (Grant Nos. 11332006, 11732010, 11572221, and 11502066) and the Natural Science Foundation of Tianjin City (Grant No. 18JCQNJC5100).

Corresponding Authors:  Nan Jiang, Shaoqiong Yang     E-mail:  nanj@tju.edu.cn;shaoqiongy@tju.edu.cn

Cite this article: 

Shan Li(李山), Nan Jiang(姜楠), Shaoqiong Yang(杨绍琼), Yongxiang Huang(黄永祥), Yanhua Wu(吴彦华) Coherent structures over riblets in turbulent boundary layer studied by combining time-resolved particle image velocimetry (TRPIV), proper orthogonal decomposition (POD), and finite-time Lyapunov exponent (FTLE) 2018 Chin. Phys. B 27 104701

[1] Luo Y, Yuan L, Li J and Wang J 2015 Micron 79 59
[2] Bixler G D and Bhushan B 2013 J. Colloid Interf. Sci. 393 384
[3] Tian H, Zhang J, Jiang N and Yao Z 2015 Exp. Therm. Fluid Sci. 69 27
[4] Zheng X, Jiang N and Zhang H 2016 Chin. Phys. B 25 014703
[5] Zheng X B and Jiang N 2015 Chin. Phys. B 24 064702
[6] Zou L, Bai J, Li B, Tan D, Li P and Liu C 2008 Chin. Phys. B 17 103407
[7] Yang H, Hui Z, Baochun F, Jian L, Daiwen J and Zijie Z 2017 Chin. Phys. B 26 084704
[8] Choi K 1989 J. Fluid Mech. 208 417
[9] Garcia-Mayoral R and Jimenez J 2011 Phil. Trans. R. Soc. A 369 1412
[10] Bechert D W and Bartenwerfer M 1989 J. Fluid Mech. 206 105
[11] Bechert D W, Bruse M and Hage W 2000 J. Fluid Mech. 28 403
[12] Dean B and Bhushan B 2010 Phil. Trans. R. Soc. A 368 4775
[13] Martin S and Bhushan B 2014 J. Fluid Mech. 756 5
[14] Choi K S and Orchard D M 1997 Exp. Therm. Fluid Sci. 2 109
[15] Bechert D W, Bruse M, Hage W, van der Hoeven J G T and Hoppe G 1997 J. Fluid Mech. 338 59
[16] Theodorsen T 1952 Proceedings of Second Midwestern Conference on Fluid Mech
[17] Cantwell B J 1981 Ann. Rev. Fluid Mech. 1 457
[18] Robinson S K 1991 Ann. Rev. Fluid Mech. 23 601
[19] Adrian R J, Meinhart C D and Tomkins C D 2000 J. Fluid Mech. 422 1
[20] Jodai Y and Elsinga G E 2016 J. Fluid Mech. 795 611
[21] Westerweel J, Elsinga G E and Adrian R J 2013 Ann. Rev. Fluid Mech. 409
[22] Jiang N and Zhang J 2005 Chin. Phys. Lett. 22 1968
[23] Liu J, Jiang N, Wang Z and Shu W 2005 Appl. Math. Mech. 26 495
[24] Hu H, Du P, Huang S and Wang Y 2013 Chin. Phys. B 22 074703
[25] Adrian R J 1994 Appl. Sci. Res. 53 291
[26] Tang Z Q and Jiang N 2012 Exp. Fluids 53 343
[27] Wallace J M 2016 Annu. Rev. Fluid Mech. 48 131
[28] Yang S and Jiang N 2012 Sci. Chin. Phys. Mech. Astron. 55 1863
[29] Lumley J L 1967 Atmospheric Turbulence and Radio Wave Propagation 166
[30] Haller G 2001 Phys. Fluids 13 3365
[31] Haller G 2002 Phys. Fluids 14 1851
[32] Adrian R J, Christensen K T and Liu Z C 2000 Exp. Fluids 29 275
[33] Christensen K T and Adrian R J 2001 J. Fluid Mech. 431 433
[34] Lee S J and Lee S H 2001 Exp. Fluids 153
[35] Prasad A K, Adrian R J, Landreth C C and Offutt P W 1992 Exp. Fluids 105
[36] Adiran R J and Westerwell J 2011 Particle Image Velocimetry (Cambridge:Cambridge University Press)
[37] Choi H, Moin P and Kim J 1993 J. Fluid Mech. 255 503
[38] Spalart P R 1988 J. Fluid Mech. 187 61
[39] Fan X and Jiang N 2005 Mech. Engin. 01 28 (in Chinese)
[40] Wang J, Lan S and Chen G 2000 Fluid Dyn. Res. 27 217
[41] Cui G, Pan C, Gao Q, Li L J 2017 Chin. J. Theor. Appl. Mech. 06 1201 (in Chinese)
[42] J W M 1980 Viscous Drag Reduction 168
[43] Yang S, Li S, Tian H, Wang Q and Jiang N 2016 Acta Mech. Sin.-Prc 32 284
[44] Yang S Q 2015 "Particle Image Velocimetry Investigation of Coherent Structures in Wall-bounded Turbulent Flows and Their Passive Control by Riblets" Ph. D. Thesis (Tianjin:Tianjin University)
[45] Wang W, Guan X and Jiang N 2014 Chin. Phys. B 23 104703
[46] Chatterjee A 2000 Curr. Sci. 78 808
[47] Liu Z, Adrian R J and Hanratty T J 2001 J. Fluid Mech. 448
[48] Pan C, Wang H and Wang J 2013 Meas. Sci. Technol. 24 55305
[49] Wu Y 2014 Phys. Fluids 26 45113
[50] Zhong Q, Li D, Chen Q and Wang X 2012 Journal of Tsinghua University (Science and Technology) 6 2 (in Chinese)
[51] Shadden S C, Lekien F and Marsden J E 2005 Phys. D:Nonlinear Phenom. 212 271
[52] Green M A, Rowley C W and Haller G 2007 J. Fluid Mech. 572 111
[53] Adrian R J 2007 Phys. Fluids 19 41301
[54] Klumpp S, Meinke M and Schröder W 2010 Flow Turbul. Combust. 85 57
[55] Tomkins C D and Adrian R J 2003 J. Fluid Mech. 490 37
[56] Pan C, Wang J and Zhang C 2009 Sci. Chin. Ser. G:Phys. Mech. Astron. 52 248
[57] Zhou J, Adrian R J, Balachandar S and Kendall T M 1999 J. Fluid Mech. 387 353
[58] Goudar M V, Breugem W and Elsinga G E 2016 Phys. Fluids 28 35111
[59] Jodai Y and Elsinga G E 2016 J. Fluid Mech. 795 611
[60] Taylor G I 1938 Proc. R. Soc. Lond. 476
[1] Influence of uniform momentum zones on frictional drag within the turbulent boundary layer
Kangjun Wang(王康俊) and Nan Jiang(姜楠). Chin. Phys. B, 2021, 30(3): 034703.
[2] Effect of high-or low-speed fluctuations on the small-scale bursting events in an active control experiment
Xiao-Tong Cui(崔晓通), Nan Jiang(姜楠), and Zhan-Qi Tang(唐湛棋). Chin. Phys. B, 2021, 30(1): 014702.
[3] Active control of wall-bounded turbulence for drag reduction with piezoelectric oscillators
Jian-Xia Bai(白建侠), Nan Jiang(姜楠), Xiao-Bo Zheng(郑小波), Zhan-Qi Tang(唐湛琪), Kang-Jun Wang(王康俊), Xiao-Tong Cui(崔晓通). Chin. Phys. B, 2018, 27(7): 074701.
[4] Predetermined control of turbulent boundary layer with a piezoelectric oscillator
Xiao-Bo Zheng(郑小波), Nan Jiang(姜楠), Hao Zhang(张浩). Chin. Phys. B, 2016, 25(1): 014703.
[5] Convection and correlation of coherent structure in turbulent boundary layer using tomographic particle image velocimetry
Wang Wei, Guan Xin-Lei, Jiang Nan. Chin. Phys. B, 2014, 23(10): 104703.
[6] Universal form of the power spectrum of the aero-optical aberration caused by the supersonic turbulent boundary layer
Gao Qiong, Yi Shi-He, Jiang Zong-Fu. Chin. Phys. B, 2014, 23(10): 104201.
[7] Temporal evolution of optical path difference of a supersonic turbulent boundary layer
Gao Qiong, Yi Shi-He, Jiang Zong-Fu, He Lin, Xie Wen-Ke. Chin. Phys. B, 2013, 22(1): 014202.
No Suggested Reading articles found!