Frequency–Wavenumber Spectrum Model for Fluctuating Pressure in Compressible Turbulent Boundary Layer

This paper focuses on the fluctuating wall pressure in the turbulent boundary layer over a flat plate under compressible flow. Starting from the governing equation of the fluctuating pressure, a detailed derivation of the frequency–wavenumber spectrum model for the fluctuating wall pressure in the turbulent boundary layer, considering the Mach number, is presented. By conducting experimental measurements of the fluctuating wall pressure in an acoustic wind tunnel and direct numerical simulation (DNS), the data of the fluctuating wall pressure under different Reynolds numbers (ranging from [Formula: see text] to [Formula: see text]) and Mach numbers (ranging from 0.06 to 0.5) are obtained. After comparing the predictions of the established model, the Smol’yakov model, and the Chase II model with experimental and simulated results, the accuracy of the established model is validated. Simultaneously, the comparative results also demonstrate that the prediction performance of the established model surpasses the Smol’yakov model and Chase II model.