Calculations of turbulent boundary layer pressure fluctuations transmitted into a viscoelastic layer

The development of a model for calculating the turbulent boundary layer pressure fluctuations transmitted into a viscoelastic layer is presented. The transmitted flow noise received by a rectangular hydrophone embedded in the elastomer layer was calculated using the turbulent wall pressure spectrum developed by Corcos [J. Acoust. Soc. Am. 18, 353–378 (1964)]. Wave vector spectral densities of turbulent wall pressure models developed by Corcos and Chase [J. Sound Vib. 70, 29–67 (1980)] are discussed. A transfer function representing a layer of elastomer as a wave vector filter and spatial averaging over a rectangular hydrophone are also described.