Abstract
A model for the generation of sound due to unsteady vortical flow in pipes of varying cross-sectional area is described. The model is based upon Howe’s acoustic analogy and an approximate model for the vorticity field. This formulation allows the sound generation to be specified in terms of properties of the unsteady behavior of the vortical flow and the potential flow solution for the pipe that would exist in the absence of vortical inhomogeneities. The approximate model for vorticity formation and evolution is presented, and the potential flow solution is obtained from the axial duct shape. Computed estimates of the time evolution of both a jet passing through a pipe constriction and the sound this flow produces are presented and compared to experimental data. [Research supported by NSF/ARPA IRI-9314946 and ARPA DAST 63-93-C-0064.]
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