Abstract
The study presents experimental results of coherent structures and their interactions in a smooth open channel flow based on measurement of instantaneous two-dimensional velocity vectors with particle image velocimetry. The sampled data were analyzed through techniques of ensemble average, vortex extraction, and proper orthogonal decomposition (POD). Redistribution of turbulent kinetic energy is observed in the near-surface region. The spanwise vortices, which are closely related to hairpin vortices, exhibit a clear dependence on Reynolds number of the flow. Hairpin vortex packets and long streamwise vortices are identified as typical large-scale and super-scale coherent structures, respectively, and their interaction is revealed by examining the relationship between the population density of spanwise vortices and the coefficient functions of the first POD mode. Interactions between large-scale and super-scale structures have been recognized to support the hypothesis of closed-loop feedback cycle.
Similar content being viewed by others
References
Adrian RJ (1991) Particle-imaging techniques for experimental fluid mechanics. Annu Rev Fluid Mech 23(1):261–304
Adrian RJ, Christensen KT, Liu ZC (2000) Analysis and interpretation of instantaneous turbulent velocity fields. Exp Fluids 29(3):275–290
Adrian RJ, Marusic I (2012) Coherent structures in flow over hydraulic engineering surfaces. J Hydraul Res 50(5):451–464
Adrian RJ, Meinhart CD, Tomkins CD (2000) Vortex organization in the outer region of the turbulent boundary layer. J Fluid Mech 422:1–54
Adrian RJ, Westerweel J (2010) Particle image velocimetry. Cambridge University Press, Cambridge
Balakumar BJ, Adrian RJ (2007) Large-and very-large-scale motions in channel and boundary-layer flows. Philos Trans Royal Soc A 365(1852):665–681
Carlier J, Stanislas M (2005) Experimental study of eddy structures in a turbulent boundary layer using particle image velocimetry. J Fluid Mech 535:143–188
Chen Q, Zhong Q, Wang X, Li D (2014) An improved swirling-strength criterion for identifying spanwise vortices in wall turbulence. J Turbul 15(2):71–87
Da Silva A, Ahmari H (2009) Size and effect on the mean flow of large-scale horizontal coherent structures in open-channel flows: an experimental study. Can J Civil Eng 36(10):1643–1655
Del Alamo JC, Jimenez J, Zandonade P, Moser RD (2004) Scaling of the energy spectra of turbulent channels. J Fluid Mech 500:135–144
Gulliver JS, Halverson MJ (1987) Measurements of large streamwise vortices in an open-channel flow. Water Resour Res 23(1):115–123
Hurther D, Lemmin U, Terray EA (2007) Turbulent transport in the outer region of rough-wall open-channel flows: the contribution of large coherent shear stress structures (LC3S). J Fluid Mech 574:465–493
Hutchins N, Marusic I (2007) Large-scale influences in near-wall turbulence. Philos Trans of the Royal Soc A 365(1852):647–664
Imamoto H, Ishigaki T. (1986). Visualization of longitudinal eddies in an open-channel flow. Paper presented at the The 4th International Symposium on Flow Visualization, Hemisphere, Washington, DC.
Jackson RG (1976) Sedimentological and fluid-dynamic implications of the turbulent bursting phenomenon in geophysical flows. J Fluid Mech 77(03):531–560
Kline SJ, Reynolds WC, Schraub FA, Runstadler PW (1967) The structure of turbulent boundary layers. J Fluid Mech 30(04):741–773
Komori S, Murakami Y, Ueda H (1989) The relationship between surface-renewal and bursting motions in an open-channel flow. J Fluid Mech 203:103–123
Komori S, Nagaosa R, Murakami Y, Chiba S, Ishii K, Kuwahara K (1993) Direct numerical-simulation of 3-dimensional open-channel flow with zero-shear gas-liquid interface. Phys Fluids A-Fluid Dynam 5(1):115–125
Kostas J, Soria J, Chong MS (2005) A comparison between snapshot POD analysis of PIV velocity and vorticity data. Exp Fluids 38(2):146–160
Liu Z, Adrian RJ, Hanratty TJ (2001) Large-scale modes of turbulent channel flow: transport and structure. J Fluid Mech 448:53–80
Marusic I, Mathis R, Hutchins N (2010) Predictive Model for Wall-Bounded Turbulent Flow. Science 329(5988):193–196
Mathis R, Hutchins N, Marusic I (2009) Large-scale amplitude modulation of the small-scale structures in turbulent boundary layers. J Fluid Mech 628:311–337
Nagaosa R (1999) Direct numerical simulation of vortex structures and turbulent scalar transfer across a free surface in a fully developed turbulence. Phys Fluids 11(6):1581–1595
Nakagawa H, Nezu I (1981) Structure of space-time correlations of bursting phenomena in an open-channel flow. J Fluid Mech 104:1–43
Nezu I (2005) Open-channel flow turbulence and its research prospect in the 21st century. J Hydraul Eng 131(4):229–246
Nezu I (1993) Turbulence in open-channel flow. AA Balkema Publishers, Rotterdam
Nezu I, Rodi W (1986) Open-channel flow measurements with a laser doppler anemometer. J Hydraul Eng-ASCE 112(5):335–355
Rodríguez JF, García MH (2008) Laboratory measurements of 3-D flow patterns and turbulence in straight open channel with rough bed. J Hydraul Res 46(4):454–465
Roussinova V, Biswas N, Balachandar R (2008) Revisiting turbulence in smooth uniform open channel flow. J Hydraul Res 46(1):36–48
Roussinova V, Shinneeb AM, Balachandar R (2010) Investigation of Fluid Structures in a Smooth Open-Channel Flow Using Proper Orthogonal Decomposition. J Hydraul Eng-ASCE 136(3):143–154
Scarano F (2002) Iterative image deformation methods in PIV. Meas Sci Technol 13(1):R1
Shinneeb A, Bugg JD, Balachandar R (2008) Analysis of coherent structures in the far-field region of an axisymmetric free jet identified using particle image velocimetry and proper orthogonal decomposition. J Fluids Eng 130(1):11202
Shvidchenko AB, Pender G (2001) Large flow structures in a turbulent open channel flow. J Hydraul Res 39(1):109–111
Sirovich L (1987) Turbulence and the dynamics of coherent structures. I-Coherent structures. Q Appl Math 45(3):561–571
Sukhodolov AN, Nikora VI, Katolikov VM (2011) Flow dynamics in alluvial channels: the legacy of Kirill V Grishanin. J Hydraul Res 49(3):285–292
Tamburrino A, Gulliver JS (1999) Large flow structures in a turbulent open channel flow. J Hydraul Res 37(3):363–380
Tamburrino A, Gulliver JS (2001) Large flow structures in a turbulent open channel flow. J Hydraul Res 39(1):109–111
Tamburrino A, Gulliver JS (2007) Free-surface visualization of streamwise vortices in a channel flow. Water Resour Res 43(W1141011):
Toh S, Itano T (2005) Interaction between a large-scale structure and near-wall structures in channel flow. J Fluid Mech 524(1):249–262
Tomkins CD, Adrian RJ (2003) Spanwise structure and scale growth in turbulent boundary layers. J Fluid Mech 490:37–74
Westerweel J, Scarano F (2005) Universal outlier detection for PIV data. Exp Fluids 39(6):1096–1100
Wu Y, Christensen KT (2006) Population trends of spanwise vortices in wall turbulence. J Fluid Mech 568:55–76
Zhong Q, Li DX, Chen QG, Wang XK (2012) Coherent structure models for open channel flows. J Tsinghua Univ 52(6):730–737 (Science and Technology)
Zhong Q, Li DX, Chen QG, Wang XK (2013) The scale and circulation characteristics of spanwise vortexes in open channel flows. J Sichuan Univ 45(S1):66–70 (Engineering Science Edition)
Zhou J, Adrian RJ, Balachandar S, Kendall TM (1999) Mechanisms for generating coherent packets of hairpin vortices in channel flow. J Fluid Mech 387:353–396
Acknowledgments
The study is financially supported by National Natural Science Foundation of China (No.51127006). The authors are grateful to Professor R.J. Adrian at Arizona State University for his valuable suggestions.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zhong, Q., Li, D., Chen, Q. et al. Coherent structures and their interactions in smooth open channel flows. Environ Fluid Mech 15, 653–672 (2015). https://doi.org/10.1007/s10652-014-9390-z
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10652-014-9390-z