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  • Journal of Fluid Mechanics, Volume 644
  • February 2010, pp. 35-60

Three-dimensional vortex organization in a high-Reynolds-number supersonic turbulent boundary layer

  • G. E. ELSINGA (a1), R. J. ADRIAN (a2), B. W. VAN OUDHEUSDEN (a1) and F. SCARANO (a1)
  • DOI: http://dx.doi.org/10.1017/S0022112009992047
  • Published online: 11 February 2010
Abstract

Tomographic particle image velocimetry was used to quantitatively visualize the three-dimensional coherent structures in a supersonic (Mach 2) turbulent boundary layer in the region between y/δ = 0.15 and 0.89. The Reynolds number based on momentum thickness Reθ = 34000. The instantaneous velocity fields give evidence of hairpin vortices aligned in the streamwise direction forming very long zones of low-speed fluid, consistent with Tomkins & Adrian (J. Fluid Mech., vol. 490, 2003, p. 37). The observed hairpin structure is also a statistically relevant structure as is shown by the conditional average flow field associated to spanwise swirling motion. Spatial low-pass filtering of the velocity field reveals streamwise vortices and signatures of large-scale hairpins (height > 0.5δ), which are weaker than the smaller scale hairpins in the unfiltered velocity field. The large-scale hairpin structures in the instantaneous velocity fields are observed to be aligned in the streamwise direction and spanwise organized along diagonal lines. Additionally the autocorrelation function of the wall-normal swirling motion representing the large-scale hairpin structure returns positive correlation peaks in the streamwise direction (at 1.5δ distance from the DC peak) and along the 45° diagonals, which also suggest a periodic arrangement in those directions. This is evidence for the existence of a spanwise–streamwise organization of the coherent structures in a fully turbulent boundary layer.

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Corresponding author
Present address: Laboratory for Aero and Hydrodynamics, Delft University of Technology, 2628CA Delft, The Netherlands. Email address for correspondence: g.e.elsinga@tudelft.nl
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R. J. Adrian 1996 Stochastic estimation of the structure of turbulent fields. In Eddy Structure Identification (ed. J. P. Bonnet ), pp. 145195. Springer-Verlag.

R. J. Adrian 2007 Hairpin vortex organization in wall turbulence. Phys. Fluids 19, 041301.


B. J. Balakumar & R. J. Adrian 2007 Large- and very large-scale motions in channel and boundary-layer flows. Phil. Trans. R. Soc. A 365, 665681.

R. F. Blackwelder & L. S. G. Kovasznay 1972 Time scales and correlations in a turbulent boundary layer. Phys. Fluids 15, 1545.




G. E. Elsinga , F. Scarano , B. Wieneke & Oudheusden, B. W. van 2006 bTomographic particle image velocimetry. Exp. Fluids 41, 933947.

R. E. Falco 1977 Coherent motions in the outer region of turbulent boundary layers. Phys. Fluids 20, S124S132.




S. Garg & G. S. Settles 1998 Measurements of a supersonic turbulent boundary layer by focusing schlieren deflectometry. Exp. Fluids 25, 254264.




R. A. Humble , F. Scarano & Oudheusden, B. W. van 2007 Particle image velocimetry measurements of shock wave/turbulent boundary layer interaction. Exp. Fluids 43, 173183.


K. C. Kim & R. J. Adrian 1999 Very large-scale motion in the outer layer. Phys. Fluids 11, 417422.


M. P. Martin 2007 Direct numerical simulation of hypersonic turbulent boundary layers. Part 1. Initialization and comparison with experiments. J. Fluid Mech. 570, 347364.

C. D. Meinhart & R. J. Adrian 1995 On the existence of uniform momentum zones in a turbulent boundary layer. Phys. Fluids 7, 694696.



S. K. Robinson 1991 Coherent motions in the turbulent boundary layer. Annu. Rev. Fluid Mech. 23, 601639.

A. Savitzky & M. J. E. Golay 1964 Smoothing and differentiation of data by simplified least squares procedures. Anal. Chem. 36, 16271639.

F. Scarano & M. L. Riethmuller 2000 Advances in iterative multigrid PIV image processing. Exp. Fluids 29, 5160.

A. Schröder , R. Geisler , G. E. Elsinga , F. Scarano & U. Dierksheide 2007 Investigation of a turbulent spot and a tripped turbulent boundary layer using time-resolved tomographic PIV. Exp. Fluids 44, 305316.

A. J. Smits , K. Hayakawa & K. C. Muck 1983 Constant temperature hot-wire anemometry practice in supersonic flows; Part 1. The normal wire. Exp. Fluids 1, 8392.

M. W. Smith & A. J. Smits 1995 Visualization of the structure of supersonic turbulent boundary layers. Exp. Fluids 18, 288302.


E. F. Spina , A. J. Smits & S. K. Robinson 1994 The physics of supersonic boundary layers. Annu. Rev. Fluid Mech. 26, 287319.



B. Wieneke 2008 Volume self-calibration for 3D particle image velocimetry. Exp. Fluids 45, 549556.


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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
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