CFD-based study on one- and two-point statistics of wall pressure fluctuations

Abstract

This paper presents a study on the statistics of wall pressure fluctuations with the so-called TNO-Blake model. The focus is on the statistics which have essential importance for the surface structural vibration, such as the one-point and wavenumber-frequency spectra, the coherence lengths and the convection velocity of the wall pressure field. The turbulent-boundary-layer (TBL) parameters which needed for the model are provided by RANS calculations. Calculations were carried out for zero pressure gradient flows with two velocities and an adverse pressure gradient flow, illustrating Reynolds number and pressure gradient effects. The effects on the one-point spectra, especially the contribution from different wall-normal positions across TBL, and on two-point statistics are discussed. Furthermore, the impact of different formulations for the velocity spectrum and moving axis spectrum on the wall pressure statistics is demonstrated.