Wavenumber-frequency analysis of turbulent wall pressure fluctuations over a wide Reynolds number range of Turbulent Pipe Flows

Measurements of the autospectra and coherence of turbulent wall pressure fluctuations were made in the circular test section of the Quiet Water Tunnel Facility at the Naval Undersea Warfare Center in Newport, Rhode Island. The pipe diameter Reynolds numbers varied from 2.09 × 10⁵ to 1.85 × 10⁶. The coherence measurements are shown to collapse well with the similarity scaling over the entire range of Reynolds numbers. Wavenumber-frequency spectra are estimated by computing the spatial Fourier transform of the measured coherence, using the model of Corcos. The results are shown to accurately represent the convective ridge portion of the wavenumber-frequency spectra where the dominant energy exists.