Abstract

A previously derived high-frequency solution to Lilley's equation is used to study the far-field characteristics of the sound generated by a turbulent flow within a semi-infinite duct of nonaxisymmetric cross section. The source term is simplified by assuming the turbulence to be axisymmetric about the mean flow direction, and a relatively simple formula for the far-field azimuthal and polar sound field variation is obtained. The numerical computations involve the calculation of ray trajectories, and a parallel computer code has been developed for this purpose. It is expected that the code will be able to produce azimuthal directivity patterns in a few minutes on a large parallel computer system. The method has been applied to a rectangular duct, and numerical results for the azimuthal and polar variation of the sound field were computed on a cluster of workstations for a number of duct aspect ratios, wall impedances values, and source locations

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