Numerical study on the estimation of the low-wavenumber wall pressure field using vibration data

Abstract

It is known that the low-wavenumber components of the wall pressure field beneath a turbulent boundary layer is the main cause of structural vibration in low Mach number flows. This is because the structure filters the convective ridge of the turbulent boundary layer excitation at frequencies well above the aerodynamic coincidence frequency. This work aims to explore the possibility of estimating the low-wavenumber wall pressure filed by obtaining vibration data from a structure excited by a turbulent boundary layer. To achieve this, an analytical model of a simply-supported plate under turbulent boundary layer is developed and the acceleration data obtained from the plate is used to evaluate the wall pressure field in the low-wavenumber domain. The wall pressure field is modelled using the Goody and Mellen models for auto-spectrum density and cross-spectrum density, respectively. Finally, the estimated pressure field is compared with the input turbulent boundary layer to evaluate the accuracy of the proposed method.