A geometric acoustics approach to the study of sound propagation in ducts containing sheared flows
Grimm, Denny W.
Hurst, Charles J.
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Geometric acoustics has been used to study the propagation of sound waves in a homogeneous moving medium with sheared flow bounded by the hard walls of a duct. Differential equations describing the ray trajectories and the spreading losses along each ray were developed and solved numerically for a range of centerline Mach numbers and shear boundary-layer thicknesses. Results were obtained which show the effects of upstream and downstream sound propagation on the ray paths. A method was also developed to allow the calculation of intensity loss profiles at specified downstream cross sections of the duct.