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

G. E. Elsinga, Ronald Adrian, B. W. Van Oudheusden, F. Scarano

Research output: Contribution to journalArticle

106 Citations (Scopus)

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/σ = 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 > 0.5σ), 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 1.5 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.

Original languageEnglish (US)
Pages (from-to)35-60
Number of pages26
JournalJournal of Fluid Mechanics
Volume644
DOIs
StatePublished - Feb 10 2010

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supersonic boundary layers
turbulent boundary layer
high Reynolds number
Boundary layers
Vortex flow
Reynolds number
velocity distribution
vortices
swirling
horseshoe vortices
Fluids
fluids
particle image velocimetry
Autocorrelation
Velocity measurement
Mach number
autocorrelation
low speed
Flow fields
Momentum

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics

Cite this

Three-dimensional vortex organization in a high-Reynolds-number supersonic turbulent boundary layer. / Elsinga, G. E.; Adrian, Ronald; Van Oudheusden, B. W.; Scarano, F.

In: Journal of Fluid Mechanics, Vol. 644, 10.02.2010, p. 35-60.

Research output: Contribution to journalArticle

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