Characteristics of the Scalar Wavenumber-Frequency Spectrum of Wall Pressure Fluctuations in a Zero-Pressure Gradient Turbulent Boundary Layer

The study analyzes the basic properties of the scalar wavenumber-frequency spectrum of turbulent pressures, representing the total energy of the wave components of the turbulent pressure field with a given wave vector modulus. Consideration of the scalar spectrum, which has independent applied significance, makes it possible to visualize the energy distribution of turbulent pressures in a wide range of frequencies and wave numbers. Based on well-known vector wave field models, relations are proposed for estimating the relative scalar spectrum. The degree and nature of the parametric influence of the Mach and Reynolds numbers are determined.