Low wavenumber wall pressure measurements using a rectangular membrane as a spatial filter

Investigation and Modelling of the Wall Pressure Field Beneath a Turbulent Boundary Layer at Low and Medium Frequencies

“…However, the results showed the evolution of the high-and low-pressure zones as they were convected along the surface. One should also mention the use of flexible structures such as membranes [9] or flat plates [10] behaving like filters, selecting from the wall pressure spectrum only some wave numbers corresponding to the considered modes of vibrations.…”

A Wavenumber Approach to Modelling the Response of a Randomly Excited Panel, Part I: General Theory

“…Interest in the wavevector}frequency analysis has grown with studies concerned with the design of "lters used to measure the wavevector}frequency content of a spatially distributed stationary random process, such as the wall-pressure #uctuations beneath a turbulent boundary layer, either with an array of transducers [2,3] or a planar elastic structure [4,5]. Wavenumber}frequency measurements have provided useful information about the energy content of the wall-pressure "eld in the low wavenumber domain and thus, complement the space}time correlation measurements already obtained by Corcos [6], which are completely valid only at or near the convective wavenumber.…”

On Modeling Structural Excitations by Low Speed Turbulent Boundary Layer Flows

“…We can only estimate th is spectrum using a mathematical mode l based on the re sponse of a mechanical system such as a flat plate or an arra y of pressure se nsors; both systems re spond instantaneously to the space averaged TBL force s at any instance of time. From re ported me asurements by Martin and Leehey (1977), Farabee and Ge ib (1976), and others, the Corcos's low wavenumber spectrum must be reduced in the order of 20 dB . Some modifications of the Corcos-type spectrum for predicting the low-wavenumber spectra to be more in line with the me asured data are discussed as follows.…”