Convection and correlation of coherent structure in turbulent boundary layer using tomographic particle image velocimetry

doi:10.1088/1674-1056/23/10/104703

›› 2014, Vol. 23 ›› Issue (10): 104703-104703.doi: 10.1088/1674-1056/23/10/104703

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Convection and correlation of coherent structure in turbulent boundary layer using tomographic particle image velocimetry

王维^a, 管新蕾^a, 姜楠^{a b c}

a Department of Mechanics, Tianjin University, Tianjin 300072, China;
b Tianjin Key Laboratory of Modern Engineering Mechanics, Tianjin 300072, China;
c The State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China

收稿日期:2013-11-25 修回日期:2014-04-01 出版日期:2014-10-15 发布日期:2014-10-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11332006 and 11272233) and the National Key Basic Research and Development Program of China (Grant No. 2012CB720101).

Convection and correlation of coherent structure in turbulent boundary layer using tomographic particle image velocimetry

Wang Wei (王维)^a, Guan Xin-Lei (管新蕾)^a, Jiang Nan (姜楠)^{a b c}

a Department of Mechanics, Tianjin University, Tianjin 300072, China;
b Tianjin Key Laboratory of Modern Engineering Mechanics, Tianjin 300072, China;
c The State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China

Received:2013-11-25 Revised:2014-04-01 Online:2014-10-15 Published:2014-10-15
Contact: Jiang Nan E-mail:nanj@tju.edu.cn
About author:47.27.De; 47.27.nb; 47.27.eb; 47.27.ed
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11332006 and 11272233) and the National Key Basic Research and Development Program of China (Grant No. 2012CB720101).

摘要/Abstract

摘要： The present experimental work focuses on a new model for space-time correlation and the scale-dependencies of convection velocity and sweep velocity in turbulent boundary layer over a flat wall. A turbulent boundary layer flow at Re_θ=2460 is measured by tomographic particle image velocimetry (tomographic PIV). It is demonstrated that arch, cane, and hairpin vortices are dominant in the logarithmic layer. Hairpins and hairpin packets are responsible for the elongated low-momentum zones observed in the instantaneous flow field. The conditionally-averaged coherent structures systemically illustrate the key roles of hairpin vortice in the turbulence dynamic events, such as ejection and sweep events and energy transport. The space-time correlations of instantaneous streamwise fluctuation velocity are calculated and confirm the new elliptic model for the space-time correlation instead of Taylor hypothesis. The convection velocities derived from the space-time correlation and conditionally-averaged method both suggest the scaling with the local mean velocity in the logarithmic layer. Convection velocity result based on Fourier decomposition (FD) shows stronger scale-dependency in the spanwise direction than in streamwise direction. Compared with FD, the proper orthogonal decomposition (POD) has a distinct distribution of convection velocity for the large-and small-scales which are separated in light of their contributions of turbulent kinetic energy.

关键词: turbulent boundary layer, tomographic particle image velocimetry, space-time correlation, elliptic model

Abstract: The present experimental work focuses on a new model for space-time correlation and the scale-dependencies of convection velocity and sweep velocity in turbulent boundary layer over a flat wall. A turbulent boundary layer flow at Re_θ=2460 is measured by tomographic particle image velocimetry (tomographic PIV). It is demonstrated that arch, cane, and hairpin vortices are dominant in the logarithmic layer. Hairpins and hairpin packets are responsible for the elongated low-momentum zones observed in the instantaneous flow field. The conditionally-averaged coherent structures systemically illustrate the key roles of hairpin vortice in the turbulence dynamic events, such as ejection and sweep events and energy transport. The space-time correlations of instantaneous streamwise fluctuation velocity are calculated and confirm the new elliptic model for the space-time correlation instead of Taylor hypothesis. The convection velocities derived from the space-time correlation and conditionally-averaged method both suggest the scaling with the local mean velocity in the logarithmic layer. Convection velocity result based on Fourier decomposition (FD) shows stronger scale-dependency in the spanwise direction than in streamwise direction. Compared with FD, the proper orthogonal decomposition (POD) has a distinct distribution of convection velocity for the large-and small-scales which are separated in light of their contributions of turbulent kinetic energy.

Key words: turbulent boundary layer, tomographic particle image velocimetry, space-time correlation, elliptic model

中图分类号: (Coherent structures)

47.27.De

47.27.nb (Boundary layer turbulence ?) 47.27.eb (Statistical theories and models) 47.27.ed (Dynamical systems approaches)

王维, 管新蕾, 姜楠. Convection and correlation of coherent structure in turbulent boundary layer using tomographic particle image velocimetry[J]. , 2014, 23(10): 104703-104703.

Wang Wei (王维), Guan Xin-Lei (管新蕾), Jiang Nan (姜楠). Convection and correlation of coherent structure in turbulent boundary layer using tomographic particle image velocimetry[J]. Chin. Phys. B, 2014, 23(10): 104703-104703.

参考文献 0


[1]	Zhou T L, Song Z, Song X P, Bian L and Liu Q L 2010 Chin. Phys. B 19 127808

[2]	Jiang T M, Yu X, Xu X H, Zhou D C, Yu H L, Yang P H and Qiu J B 2014 Chin. Phys. B 23 028505

[3]	Li P L, Wang Y S, Zhao S L, Zhang F J and Xu Z 2012 Chin. Phys. B 21 127804

[44]	Goldschmidt V W, Young M F and Ott E S 1981 J. Fluid Mech. 105 327 doi: 10.1017/S0022112081003236

[4]	Nersisyan H, Won H I and Won C W 2011 Chem. Commun. 47 11897 doi: 10.1039/c1cc15427c

[45]	Pan C, Wang J J and Zhang C 2009 Sci. China Ser. G: Phys. Mech. Astron. 52 248 doi: 10.1007/s11433-009-0033-1

[5]	Zhang Q T, Zhang L, Han P D, Chen Y, Yang H and Wang L X 2011 Prog. Chem. 23 1108

[46]	Berkooz G, Holmes P and Lumley J L 1993 Ann. Rev. Fluid Mech. 25 539 doi: 10.1146/annurev.fl.25.010193.002543

[6]	Neeraj S, Kijima N and Cheetham J A K 2004 Solid State Commun. 131 65 doi: 10.1016/j.ssc.2004.03.050

[47]	Chatterjee A 2000 Current Science 78 808

[48]	He J and Fu S 2003 Acta Mech. Sin. 35 385

[7]	Zhang Q, Guo C, Shi C and Lü S Z 2000 J. Alloys Compd. 309 10 doi: 10.1016/S0925-8388(00)01051-3

[49]	Pan C, Wang H and Wang J J 2013 Measurement Science and Technology 24 055305 doi: 10.1088/0957-0233/24/5/055305

[8]	Bierlein J D and Sleight A W 1975 Solid State Commun. 16 69 doi: 10.1016/0038-1098(75)90791-7

[9]	Manolikas C and Amelinckx S 1980 Phys. Status Solidi A 60 167 doi: 10.1002/pssa.2210600120

[50]	Sirovich L, Kirby M and Winter M 1990 Phys. Fluids A: Fluid Dynamics 2 127 doi: 10.1063/1.857815

[10]	David W I F 1983 J. Phys. C: Solid State Phys. 16 5093 doi: 10.1088/0022-3719/16/26/006

[51]	Prabhu R D, Collis S S and Chang Y 2001 Phys. Fluids 13 520 doi: 10.1063/1.1333038

[11]	Ren L, Jin L, Wang J B, Yang F, Qiu M Q and Yu Y 2009 Nanotechnology 20 15603 doi: 10.1088/0957-4484/20/1/015603

[52]	Liu Z, Adrian R J and Hanratty T J 2001 J. Fluid Mech. 448 53

[12]	Hirota K, Komatsu G, Yamashita M, Takemura H and Yamaguchi O 1992 Mater. Res. Bull. 27 823 doi: 10.1016/0025-5408(92)90177-2

[53]	Lu L J and Smith C R 1991 Exp. Fluids 11 247

[54]	Elsinga G E 2008 "Tomographic Particle Image Velocimetry"(Ph. D. Thesis) (Delft: Technology University of Delft)

[55]	Shi X G 1994 Turbulence (Tianjin: Tianjin University Press) pp. 50-52 (in Chinese)

Convection and correlation of coherent structure in turbulent boundary layer using tomographic particle image velocimetry

Convection and correlation of coherent structure in turbulent boundary layer using tomographic particle image velocimetry

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 0

相关文章 7

Metrics

本文评价

推荐阅读 0

[1]	Jin-Hao Zhang(张津浩), Biao-Hui Li(李彪辉), Yu-Fei Wang(王宇飞), and Nan Jiang(姜楠). Effects of single synthetic jet on turbulent boundary layer[J]. 中国物理B, 2022, 31(7): 74702-074702.
[2]	Biao-Hui Li(李彪辉), Kang-Jun Wang(王康俊), Yu-Fei Wang(王宇飞), and Nan Jiang(姜楠). Experimental investigation on drag reduction in a turbulent boundary layer with a submerged synthetic jet[J]. 中国物理B, 2022, 31(2): 24702-024702.
[3]	白建侠, 姜楠, 郑小波, 唐湛琪, 王康俊, 崔晓通. Active control of wall-bounded turbulence for drag reduction with piezoelectric oscillators[J]. 中国物理B, 2018, 27(7): 74701-074701.
[4]	李山, 姜楠, 杨绍琼, 黄永祥, 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)[J]. 中国物理B, 2018, 27(10): 104701-104701.
[5]	郑小波, 姜楠, 张浩. Predetermined control of turbulent boundary layer with a piezoelectric oscillator[J]. 中国物理B, 2016, 25(1): 14703-014703.
[6]	高穹, 易仕和, 姜宗福. Universal form of the power spectrum of the aero-optical aberration caused by the supersonic turbulent boundary layer[J]. , 2014, 23(10): 104201-104201.
[7]	高穹, 易仕和, 姜宗福, 何霖, 谢文科. Temporal evolution of optical path difference of a supersonic turbulent boundary layer[J]. Chin. Phys. B, 2013, 22(1): 14202-014202.