Calculation of the spectra of pseudosound wall-pressure fluctuations in turbulent boundary layers

Abstract

A simple method is developed for calculating the wall-pressure spectra in turbulent boundary layers. The method is based on the modeling of the wave-number spectrum of the sources that are caused by the interaction of the turbulence-mean shear type. The sources are described in the framework of the semiempirical theory of turbulence. The calculations reveal four characteristic frequency ranges; for these ranges, the specific features of the wall-pressure spectra are determined, and the most general ways of their scaling are found. The calculated spectra and rms values of pressure fluctuations are compared with the experimental data, and a good agreement between the calculations and the experiment is observed.