Experimental study of the turbulent-boundary-layer wall pressure fluctuation wavenumber-frequency spectrum models using linear array

Wavenumber-frequency spectrum modeling of wall pressure fluctuation has been the focus of the flow-induced noise in turbulent boundary layers. This study first summarized 11 models in the last six decades, classified into four groups, i.e., Corcos-type, incompressible, compressible, and others. The performance of these models, further classified into Corocos-type and non-Corcos-type, was then examined by comparing their prediction with the experimental measurement using a linear array in an aeroacoustic wind tunnel. Results show that the linear array can measure the streamwise wavenumber-frequency spectrum correctly and, therefore, can be used to evaluate the accuracy of prediction models. The Corcos-type models have to be chosen based on the interested frequencies, wavenumbers, and the formula's complexity. The non-Corcos-type models can directly predict the wavenumber-frequency spectrum without the self-spectrum input, an advantage over the Corcos-type. Specifically, Chase-I model has the best ovserall performance; Chase-II can predict the acoustic-affected area.