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

Published online by Cambridge University Press:  11 February 2010

G. E. ELSINGA ,
R. J. ADRIAN ,
B. W. VAN OUDHEUSDEN  and
F. SCARANO
G. E. ELSINGA*
Affiliation:
Department of Aerospace Engineering, Delft University of Technology, 2629HS Delft, The Netherlands
R. J. ADRIAN
Affiliation:
Department of Mechanical and Aerospace Engineering, Arizona State University, Tempe, AZ85287, USA
B. W. VAN OUDHEUSDEN
Affiliation:
Department of Aerospace Engineering, Delft University of Technology, 2629HS Delft, The Netherlands
F. SCARANO
Affiliation:
Department of Aerospace Engineering, Delft University of Technology, 2629HS Delft, The Netherlands
*
†Present address: Laboratory for Aero and Hydrodynamics, Delft University of Technology, 2628CA Delft, The Netherlands. Email address for correspondence: [email protected]
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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.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 644 , 10 February 2010 , pp. 35 - 60
Copyright
Copyright © Cambridge University Press 2010

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