Turbulent pressure spectra

Similarity laws for the pressure spectrum in turbulent flows are developed. Comparable to the -5/3 power law for the velocity spectrum in the inertial subrange there is a -7/3 power law relationship for the pressure spectrum. Although the law wave number spectrum scales with relatively easily measured flow field properties, further measurements, especially of the turbulent dissipation are necessary to quantify the Holomogorov constant which appears in the high wave number relationship. Presently the estimates for this quantity vary between 2.25 and 5.6. Measurements of the pressure spectra in the mixing layer of an axisymmetric jet confirm the predicted scaling laws at high and low wavenumber.