Simple models of the characteristic functional in hydrodynamic acoustics

Simple models of the characteristic functional are considered in the context of analyzing the probabilistic characteristics of turbulent pressure fluctuations. The Gaussian model of the spatial characteristic functional of wall-pressure fluctuations is shown to be more appropriate for jet flows, while the Poisson model better describes the characteristic features (splashes) of pressure fluctuations in a turbulent boundary layer. The suggestion is made that the representation of the characteristic functional as a superposition of simple models can reduce the experimental determination of the characteristic functional and the multidimensional distribution functions to measuring only a limited number of parameters and dependences characterizing the turbulent flow under study.