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Pressure spectra in turbulent free shear flows

Published online by Cambridge University Press:  20 April 2006

William K. George ,
Paul D. Beuther  and
Roger E. A. Arndt
William K. George
Affiliation:
State University of New York at Buffalo, Amherst, New York 14260
Paul D. Beuther
Affiliation:
Owens Corning Fiberglas Co. Technical Center, Granville, Ohio 43023
Roger E. A. Arndt
Affiliation:
University of Minnesota, Minneapolis, Minnesota 55414
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Abstract

Spectral models for turbulent pressure fluctuations are developed by directly Fourier transforming the integral solution to the Poisson equation for a homogeneous constantmean-shear flow. The turbulence-turbulence interaction is seen to possess the well-known k−7/3 inertial subrange and to dominate the high-wavenumber region. The turbulence–mean-shear contribution is seen to be dominant in the energy-containing range and falls off as $k^{-\frac{11}{3}}$ in the inertial subrange. The subrange constants and the mean-square pressure fluctuation are evaluated using a spectral model for the velocity. A spectral analysis of the velocity contamination of a pressure probe is also presented. Results are compared with spectral measurements with a static-pressure probe in the mixing layer of an axisymmetric jet.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 148 , November 1984 , pp. 155 - 191
Copyright
© 1984 Cambridge University Press

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