Abstract
© American Institute of Aeronautics and Astronautics Inc, AIAA. All rights reserved.This study considers the asymptotic and numerical Green’s function in a lined duct with realistic mean flow. The realistic mean flow will have both shear and swirling components. We will show that the high frequency asymptotic Green’s function we derive is a very good approximation for all mean flows, provided the (non-dimensionalised) frequency ω is sufficiently large. Generally we will require ω ≿ 15 to be a good approximation to the numerical Green’s function. In calculating the Green’s function asymptotically, we derived dispersion relations for the asymptotic eigenmodes, although they have to be solved numerically. Once we have accurately modelled the Green’s function there are a number of applications, such as beamforming.
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