Pressure statistics and their scaling in high-Reynolds-number turbulent boundary layers

Pressure fluctuations are an important ingredient in turbulence, e.g. in the pressure strain terms which redistribute turbulence among the different fluctuating velocity components. The variation of the pressure fluctuations inside a turbulent boundary layer has hitherto been out of reach of experim...

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Bibliographic Details
Published in:Journal of fluid mechanics 2007-08, Vol.585, p.1-40
Main Authors: TSUJI, Y., FRANSSON, J. H. M., ALFREDSSON, P. H., JOHANSSON, A. V.
Format: Article
Language:English
Subjects:
Boundary layer
Boundary layer and shear turbulence
Boundary layers
channel flow
coherent structures
direct numerical-simulation
Exact sciences and technology
Fluctuations
Fluid dynamics
Fluids
Fundamental areas of phenomenology (including applications)
High-reynolds-number turbulence
locally isotropic turbulence
Mechanics
overlap region
Physics
pipe-flow
Pressure
Reynolds number
shear-flow
small scales
Statistics
Turbulent flows, convection, and heat transfer
vortical structures
wall-pressure
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Summary:Pressure fluctuations are an important ingredient in turbulence, e.g. in the pressure strain terms which redistribute turbulence among the different fluctuating velocity components. The variation of the pressure fluctuations inside a turbulent boundary layer has hitherto been out of reach of experimental determination. The mechanisms of non-local pressure-related coupling between the different regions of the boundary layer have therefore remained poorly understood. One reason for this is the difficulty inherent in measuring the fluctuating pressure. We have developed a new technique to measure pressure fluctuations. In the present study, both mean and fluctuating pressure, wall pressure, and streamwise velocity have been measured simultaneously in turbulent boundary layers up to Reynolds numbers based on the momentum thickness Rθ ≃ 20000. Results on mean and fluctuation distributions, spectra, Reynolds number dependence, and correlation functions are reported. Also, an attempt is made to test, for the first time, the existence of Kolmogorov's -7/3 power-law scaling of the pressure spectrum in the limit of high Reynolds numbers in a turbulent boundary layer.
ISSN:0022-1120
1469-7645
1469-7645
DOI:10.1017/S0022112007006076