A New Turbulent Wall-Pressure Fluctuation Model for Fluid–Structure Interaction

Most fluid flows of practical applications are turbulent. In flows involving interactions with flexible structures, such as an aircraft skin, the knowledge of turbulent wall-pressure fluctuations is critical. Both measurements and direct numerical simulations of the wall-pressure fluctuations are difficult and costly. Therefore, the use of the semi-empirical turbulent wall-pressure fluctuation models is wide spread. One of the most widely used models is that due to Corcos (Resolution of Pressure in Turbulence,” J. Acoust. Soc. Am., 35(2), pp. 192–199). The biggest advantages of this model are simplicity and ease of use. However, the model has several weaknesses as well and therefore many models have been proposed to address them. In this paper, we briefly review existing models and then propose a model that remedies their weaknesses. The proposed model keeps the simplicity of the Corcos model and it is given in both space-frequency and wavenumber-frequency spaces. The new model accurately captures the convective peak and shows better agreement with experimental data at lower wavenumbers.