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Chin. Phys. B, 2014, Vol. 23(10): 104703    DOI: 10.1088/1674-1056/23/10/104703

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
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 Reθ=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.
Keywords:  turbulent boundary layer      tomographic particle image velocimetry      space-time correlation      elliptic model  
Received:  25 November 2013      Revised:  01 April 2014      Accepted manuscript online: 
PACS:  47.27.De (Coherent structures)  
  47.27.nb (Boundary layer turbulence ?)  
  47.27.eb (Statistical theories and models)  
  47.27.ed (Dynamical systems approaches)  
Fund: 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).
Corresponding Authors:  Jiang Nan     E-mail:
About author:  47.27.De; 47.27.nb; 47.27.eb; 47.27.ed

Cite this article: 

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 2014 Chin. Phys. B 23 104703

[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
[4]Nersisyan H, Won H I and Won C W 2011 Chem. Commun. 47 11897
[45]Pan C, Wang J J and Zhang C 2009 Sci. China Ser. G: Phys. Mech. Astron. 52 248
[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
[6]Neeraj S, Kijima N and Cheetham J A K 2004 Solid State Commun. 131 65
[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
[49]Pan C, Wang H and Wang J J 2013 Measurement Science and Technology 24 055305
[8]Bierlein J D and Sleight A W 1975 Solid State Commun. 16 69
[9]Manolikas C and Amelinckx S 1980 Phys. Status Solidi A 60 167
[50]Sirovich L, Kirby M and Winter M 1990 Phys. Fluids A: Fluid Dynamics 2 127
[10]David W I F 1983 J. Phys. C: Solid State Phys. 16 5093
[51]Prabhu R D, Collis S S and Chang Y 2001 Phys. Fluids 13 520
[11]Ren L, Jin L, Wang J B, Yang F, Qiu M Q and Yu Y 2009 Nanotechnology 20 15603
[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
[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)
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