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

Published online by Cambridge University Press:  07 August 2007

Y. TSUJI ,
J. H. M. FRANSSON ,
P. H. ALFREDSSON  and
A. V. JOHANSSON
Y. TSUJI
Affiliation:
Department of Energy Engineering and Science, Nagoya University, Nagoya 464-8603, Japan
J. H. M. FRANSSON
Affiliation:
Linné Flow Centre, KTH Mechanics, SE-100 44 Stockholm, Sweden
P. H. ALFREDSSON
Affiliation:
Linné Flow Centre, KTH Mechanics, SE-100 44 Stockholm, Sweden
A. V. JOHANSSON
Affiliation:
Linné Flow Centre, KTH Mechanics, SE-100 44 Stockholm, Sweden
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Abstract

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.

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Papers
Information
Journal of Fluid Mechanics , Volume 585 , 25 August 2007 , pp. 1 - 40
Copyright
Copyright © Cambridge University Press 2007

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References

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