Cambridge Journals Online

Pressure spectra in turbulent free shear flows

William K.  George a1, Paul D.  Beuther a2 and Roger E. A.  Arndt a3 a1 State University of New York at Buffalo, Amherst, New York 14260 a2 Owens Corning Fiberglas Co. Technical Center, Granville, Ohio 43023 a3 University of Minnesota, Minneapolis, Minnesota 55414

Article author query george wk     beuther pd     arndt re

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.