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Anisotropic pressure correlation spectra in turbulent shear flow

Published online by Cambridge University Press:  02 February 2012

Yoshiyuki Tsuji  and
Yukio Kaneda
Yoshiyuki Tsuji*
Affiliation:
Department of Energy Engineering and Science, Graduate School of Engineering, Nagoya University, Chikusa-ku, Nagoya 464-8603, Japan
Yukio Kaneda
Affiliation:
Department of Computational Science and Engineering, Graduate School of Engineering, Nagoya University, Chikusa-ku, Nagoya 464-8603, Japan
*
†Email address for correspondence: c42406a@nucc.cc.nagoya-u.ac.jp
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Abstract

We measured the correlation spectrum of pressure fluctuations in a driving mixing layer with a Taylor-scale Reynolds number up to by a newly developed pressure probe with spatial and temporal resolutions that are sufficient to analyse inertial-subrange statistics. The influence of the mean velocity gradient tensor in the mixing layer, which is almost constant near its centreline, is studied using an idea similar to that underlying the linear response theory developed in statistical mechanics for systems at or near thermal equilibrium. If we write the spectrum as , where is the isotropic Kolmogorov spectrum in the absence of mean shear, then for small the deviation due to the shear is approximately linear and is determined by a few non-dimensional universal constants in addition to , and the mean energy dissipation rate. We also measured the pressure–velocity and velocity–velocity correlation spectra. Deviations from isotropy due to shear are shown to be approximately proportional to at large .

JFM classification

Turbulent Flows: Shear layer turbulence Turbulent Flows: Turbulent Flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 694 , 10 March 2012 , pp. 50 - 77
Copyright
Copyright © Cambridge University Press 2012

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