Modeling of the turbulent boundary layer wall pressure fluctuation generalized for air and water

Based on Lighthill equation with compressible theory, a prediction model for the wavenumber-frequency spectrum of the turbulent boundary layer (TBL-WPF) was derived, which can remedy for the lack of generalization for air and water in the current models. In order to acquire the data of the TBL-WPF and the auto-spectrum from air and water to validate the model, tests in the aeroacoustic wind tunnel and the water tunnel were conducted, associated with test results from the literature. Moreover, the predicted results were also compared with those given by the classic Chase II model based on the compressible theory to evaluate the prediction capability of the two models. The results show that the proposed model in the paper can well predict the TBL-WPF wavenumber-frequency spectrum in the air and water, and achieves the prediction of the auto-spectrum through integration, as such it possesses generalization in different fluids. The overall prediction performance is superior to the Chase II model, indicating the proposed model can achieve good accuracy.