EXPERIMENTAL STUDY ON QUANTITATIVE MEASUREMENT OF THREE-DIMENSIONAL STRUCTURE OF HAIRPIN VORTEX BY STEREO-PIV 1)

doi:10.6052/0459-1879-20-203

Abstract

Abstract:

Hairpin vortex is one of the most concerned paradigm in the study of turbulent coherent structures. The quantitative experimental measurement and hydrodynamic analysis of the three-dimensional hairpin vortex structures~is of great significance for further~applications in the turbulent flow control.~In this study, with an optimized arrangement of the synthetic jet device, a~series of~regular artificial hairpin vortex structures~are~produced in the laminar boundary layer, and then the three-dimensional shapes of~hairpin vortex structures are quantitatively revealed by stereoscopic particle image velocimetry (Stereo-PIV) using phase-locking technique. The three-dimensional flow field of the hairpin vortex within a complete period is obtained. The quality of the reconstructed three-dimensional hairpin vortex structure is reliable. The results are in line with the general knowledge of hairpin vortex, low/high~speed streaks and~ejection/sweeping~events. In addition, we acquire a more detailed understanding of the near-wall secondary vortex, the spanwise~vortex head and the area of strong shear in the spanwise~vorticity~concentration region, and the convergent/divergent flow related to the ejection~event. We also discuss the reconstruction of the three-dimensional flow field of hairpin vortice based on the fluctuating characteristics of two-dimensional flow field. It provides an idea for the quantitative study of wall turbulence coherent structure in the formation and evolution of the hairpin vortex structure, the fusion of adjacent vortex structures and the secondary induced vortex.

Key words: artificial hairpin vortex, synthetic jet, Stereo-PIV, quantitative measurement, coherent structure

CLC Number:

O357.5

Tian Haiping, Yi Xingrui, Zhong Shan, Jiang Nan, Zhang Shanying. EXPERIMENTAL STUDY ON QUANTITATIVE MEASUREMENT OF THREE-DIMENSIONAL STRUCTURE OF HAIRPIN VORTEX BY STEREO-PIV ¹⁾[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(6): 1666-1677.

Figures/Tables 16

Fig. 1 Layout of experimental platform

Fig. 2 Mean velocity profile of the laminar boundary layer

Fig. 3 Schematic of synthetic jet cavity structure

Fig. 4 Synthetic jet actuator

Fig. 5 Schematic diagram of 3D flow field reconstruction method

Fig. 6 Iso-surfaces of $Q$-criterion color coded with streamwise vorticity $\omega_{x} $

Fig. 7 Single hairpin vortex structure (iso-surfaces of $Q$-criterion color coded with streamwise vorticity $\omega_{x})$

Fig. 8 Spatial distribution of phase-averaged streamwise vorticity $\omega_x$ during a synthetic jet actuation cycle

Fig. 9 Spatial distribution of phase-averaged wall-normal vorticity $\omega_y$ during a synthetic jet actuation cycle

Fig. 10 Spatial distribution of phase-averaged spanwise vorticity $\omega_z$ during a synthetic jet actuation cycle

Fig. 11 Spatial distribution of phase-averaged streamwise velocity $u$ during a synthetic jet actuation cycle

Fig. 12 Spatial distribution of phase-averaged wall-normal velocity $v$ during a synthetic jet actuation cycle

Fig. 13 Spatial distribution of phase-averaged spanwise velocity $w$ during a synthetic jet actuation cycle

Fig. 14 Contour of spanwise vorticity $\omega_z $ with velocity vectors on $x-y$ plane at $z=0$ mm

Fig. 15 Contour of streamwise velocity $u'$ with velocity vectors on $y-z$ plane

Fig. 16 Contours of wall-normal velocity $v'$ with velocity vectors on $x-z$ plane

References 38

[1]	许春晓. 壁湍流相干结构和减阻控制机理. 力学进展, 2015,45(3):111-139
	( Xu Chunxiao. Coherent structures and drag-reduction mechanism in wall turbulence. Advances in Mechanics, 2015,45(3):111-139 (in Chinese))
[2]	Chen J. Two-point statistics of coherent structure in turbulent flow. Journal of Flow Control, Measurement & Visualization, 2019,07(04):153-173
[3]	Xu F, Zhong S, Zhang S. Statistical analysis of vortical structures in turbulent boundary layer over directional grooved surface pattern with spanwise heterogeneity. Physics of Fluids, 2019,31(8):085110
[4]	高天达, 孙姣, 范赢等. 基于 PIV 技术分析颗粒在湍流边界层中的行为. 力学学报, 2019,51(1):103-110
	( Gao Tianda, Sun Jiao, Fan Ying, et al. PIV experimental investigation on the behavior of particle in the turbulent boundary layer. Chinese Journal of Theoretical and Applied Mechanics, 2019,51(1):103-110 (in Chinese))
[5]	Li W, Liu H. Two-point statistics of coherent structures in turbulent flow over riblet-mounted surfaces. Acta Mechanica Sinica, 2019,35(3):457-471
[6]	Tang ZQ, Jiang N. The effect of a synthetic input on small-scale intermittent bursting events in near-wall turbulence. Physics of Fluids, 2020,32(1):015110
[7]	王帅杰, 崔晓通, 白建侠等. 减阻工况下壁面周期扰动对湍流边界层多尺度的影响. 力学学报, 2019,51(3):767-774
	( Wang Shuaijie, Cui Xiaotong, Bai Jianxia, et al. The effect of periodic perturbation on multi scales in a turbulent boundary layer flow under drag reduction. Chinese Journal of Theoretical and Applied Mechanics, 2019,51(3):767-774 (in Chinese))
[8]	Theodorsen T. Mechanism of turbulence: in Proceedings of the Second Midwestern Conference on Fluid Mechanics, Ohio State University. 1952: 1-19
[9]	Robinson SK. Coherent motions in the turbulent boundary layer. Annual Review of Fluid Mechanics, 1991,23(1):601-639
[10]	Tian HP, Jiang N, Huang YX, et al. Study on local topology model of low/high streak structures in wall-bounded turbulence by tomographic time-resolved particle image velocimetry. Appl Math Mech -Engl Ed, 2015,36(9):1121-1130
[11]	Tian HP, Zhang JX, Jiang N, et al. Effect of hierarchical structured superhydrophobic surfaces on coherent structures in turbulent channel flow. Experimental Thermal and Fluid Science, 2015,69:27-37
[12]	Adrian RJ, Meinhart CD, Tomkin CD. Vortex organization in the outer region of the turbulent boundary layer. Journal of Fluid Mechanics, 2000,422:1-54
[13]	Tomkins CD, Adrian RJ. Spanwise structure and scale growth in turbulent boundary layers. Journal of Fluid Mechanics, 2003,490:37-74
[14]	Adrian RJ. Hairpin vortex organization in wall turbulence. Phys Fluids, 2007,19:041301 DOI URL
[15]	Christensen KT, Adrian RJ. Statistical evidence of hairpin vortex packets in wall turbulence. Journal of Fluid Mechanics, 2001,431:433-443
[16]	苏健, 田海平, 姜楠. 逆向涡对超疏水壁面减阻影响的 TRPIV 实验研究. 力学学报, 2016,48(5):1033-1039
	( Su Jian, Tian Haiping, Jiang Nan. TRPIV experimental investigation of the effect of retrograde vortex on drag-reduction mechanism over superhydrophobic surfaces. Chinese Journal of Theoretical and Applied Mechanics, 2016,48(5):1033-1039 (in Chinese))
[17]	Schröder A, Geisler R, Elsinga GE, et al. Investigation of a turbulent spot and a tripped turbulent boundary layer flow using time-resolved tomographic PIV. Experiments in Fluids, 2007,44(2):305-316
[18]	Sabatino DR, Rossmann T. Tomographic PIV measurements of a regenerating hairpin vortex. Experiments in Fluids, 2015,57:6
[19]	Martins FJWA, Foucaut J M, Stanislas M, et al. Characterization of near-wall structures in the log-region of a turbulent boundary layer by means of conditional statistics of tomographic PIV data. Experimental Thermal and Fluid Science, 2019,105:191-205
[20]	Kirchner BM, Elliott GS, Dutton JC. Hairpin vortex structures in a supersonic, separated, longitudinal cylinder wake. Physics of Fluids, 2020,32(4):046103
[21]	Zheng XB, Jiang N. The spatial-temporal evolution of coherent structures in log law region of turbulent boundary layer. Acta Mechanica Sinica, 2015,31(1):16-24
[22]	Koo B, Kang YD. Control of synthetic hairpin vortices in laminar boundary layer for skin-friction reduction. Journal of Marine Science and Engineering, 2020,8:45
[23]	Acarlar MS, Smith CR. A study of hairpin vortices in a laminar boundary layer. Part 2. Hairpin vortices generated by fluid injection. Journal of Fluid Mechanics, 1987,175:43-83
[24]	Acarlar MS, Smith CR. A study of hairpin vortices in a laminar boundary layer. Part 1. Hairpin vortices generated by a hemisphere protuberance. Journal of Fluid Mechanics, 1987,175:1-41
[25]	王晋军, 丁海河. 光滑圆盘上小半球对边界层发展影响的实验研究. 实验流体力学, 2005,19(4):1-9
	( Wang Jinjun, Ding Haihe. Investigation of semi-spheres on the boundary layer development over a smooth circular plate. Journal of Experiments in Fluid Mechanics, 2005,19(4):1-9 (in Chinese))
[26]	Eshbal L, Rinsky V, David T, et al. Measurement of vortex shedding in the wake of a sphere at. Journal of Fluid Mechanics, 2019,870:290-315 DOI URL
[27]	Zhang C, Pan C, Wang JJ. Evolution of vortex structure in boundary layer transition induced by roughness elements. Experiments in Fluids, 2011,51(5):1343-1352 DOI URL
[28]	Ye Q, Schrijer FFJ, Scarano F. Geometry effect of isolated roughness on boundary layer transition investigated by tomographic PIV. International Journal of Heat and Fluid Flow, 2016,61:31-44 DOI URL
[29]	Tang Z, Wu Y, Jia Y, et al. PIV measurements of a turbulent boundary layer perturbed by a wall-mounted transverse circular cylinder element. Flow, Turbulence and Combustion, 2017,100(2):365-389 DOI URL
[30]	Agarwal A, Nolan KP, Stafford J, et al. Visualization of three-dimensional structures shed by an oscillating beam. Journal of Fluids and Structures, 2017,70:450-463 DOI URL
[31]	Zhou J, Zhong S. Coherent structures produced by the interaction between synthetic jets and a laminar boundary layer and their surface shear stress patterns. Computers & Fluids, 2010,39(8):1296-1313
[32]	Jabbal M, Zhong S. Particle image velocimetry measurements of the interaction of synthetic jets with a zero-pressure gradient laminar boundary layer. Physics of Fluids, 2010,22(6):063603 DOI URL
[33]	Klotz L, Gumowski K, Wesfreid JE. Experiments on a jet in a crossflow in the low-velocity-ratio regime. Journal of Fluid Mechanics, 2019,863:386-406 DOI URL
[34]	Wen X, Tang H. Effect of phase difference on the interaction of hairpin vortices induced by in-line twin synthetic jets. Journal of Visualization, 2015,19(1):79-87 DOI URL
[35]	Wen X, Tang H, Duan F. Interaction of in-line twin synthetic jets with a separated flow. Physics of Fluids, 2016,28(4):209-216
[36]	Wen X, Tang H, Liu Y. Interaction of twin synthetic jets in attached and separated boundary layers: Effects of yaw angle and phase difference. Journal of Visualization, 2018,21(6):949-963 DOI URL
[37]	Chen J, Hussain F, Pei J, et al. Velocity-vorticity correlation structure in turbulent channel flow. Journal of Fluid Mechanics, 2014,742:291-307 DOI URL
[38]	Suponitsky V, Cohen J, Bar-Yoseph PZ. The generation of streaks and hairpin vortices from a localized vortex disturbance embedded in unbounded uniform shear flow. Journal of Fluid Mechanics, 2005,535:65-100

EXPERIMENTAL STUDY ON QUANTITATIVE MEASUREMENT OF THREE-DIMENSIONAL STRUCTURE OF HAIRPIN VORTEX BY STEREO-PIV ¹⁾

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[9]	Wei Zhao. Experimental studies on SL scaling law and spatial scales of coherent structures in near-wall turbulent boundary layer [J]. Chinese Journal of Theoretical and Applied Mechani, 2007, 23(1): 23-36.
[10]	Zhenyan Xia Nan Jiang Zhendong Wang Wei Shu. Effect of blowing and suction on wall turbulent coherent structures [J]. Chinese Journal of Theoretical and Applied Mechani, 2006, 38(6): 741-748.
[11]	,,. Experimental observations of inception cavitation vortices around a hydrofoils [J]. Chinese Journal of Theoretical and Applied Mechani, 2006, 38(4): 547-552.
[12]	,. An experimental investigation on coherent structures in near wall region of channel turbulent flow using DPIV [J]. Chinese Journal of Theoretical and Applied Mechani, 2006, 38(2): 236-245.
[13]	,,,. THE EXPERIMENTAL STUDY OF THE CHAOTIC PHENOMENA OF HEATED JETS [J]. Chinese Journal of Theoretical and Applied Mechani, 1999, 31(5): 603-610.
[14]	,. INTERACTIONS OF THE RIGID-RODLIKE POLYMER AND THE COHERENT STRUCTURES IN A MIXING LAYER [J]. Chinese Journal of Theoretical and Applied Mechani, 1998, 30(6): 743-747.
[15]	,,. THE THREE PART DECOMPOSITION OF TURBULENT SIGNAL [J]. Chinese Journal of Theoretical and Applied Mechani, 1997, 29(5): 519-524.