Abstract
The influence of nonlinear effects in the propagation of jet noise is typically characterized by examining the change in the power spectral density (PSD) of the noise as a function of propagation distance. The rate of change of the PSD is an indicator of the importance of nonlinearity. Morfey and Howell [AIAA J. 19, 986–992 (1981)] introduced an analysis technique that has the potential to extract this information from a measurement at a single location. They develop an ensemble-averaged Burgers equation that relates the rate of change of the PSD with distance to the quantity Qp2p, which is the imaginary part of the cross-spectral density of the pressure and the square of the pressure. Despite its potential applicability to jet noise analysis, the physical significance and utility of Qp2p have not been thoroughly studied. This work examines Qp2p for the one-dimensional propagation of plane waves in a shock tube. The use of such a simple, controlled environment allows for a better understanding of the significance of Qp2p. [Work supported by the National Science Foundation, the Office of Naval Research, and the Strategic Environmental Research and Development Program.]
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