Speaker
Description
Two families of analytical models for wall-pressure fluctuation spectra in zero-pressure-gradient turbulent boundary layers are reexamined. On the one hand, the formulations by Lysak (Journal of Fluids Engineering 128, 216–222, 2006) and Grasso et al. (Journal of Fluid Mechanics 877, 1007–1062, 2019), among others, are developed in the wavenumber–frequency domain. On the other hand, the approach of Peltier & Hambric (Journal of Fluids and Structures 23, 920–937, 2007) directly models space–time velocity correlations. First, the equivalence of these two families is formally demonstrated under identical assumptions, namely local isotropy and frozen turbulence. An extension is then proposed to account for variations of the mean velocity shear in the wall-normal direction, which improves agreement between the predicted pressure spectra and available experimental data. Model inputs (mean flow, turbulence intensity, one-dimensional turbulence spectrum, among others) are validated against experimental measurements whenever possible to ensure model robustness. Finally, from these analytical models, the relative contributions of different regions within a turbulent boundary layer to the wall-pressure fluctuation spectrum are discussed as a function of frequency.