Acoustic Waves in a Two-Dimensional Duct Carrying Shear Flow

Abstract

The present paper is concerned with the propagation of sound generated by distributed harmonic line sources in a two-dimensional duct with sheared mean flow. A Green’s function to the convected wave equation is constructed by the use of the derivative expansion method with respect to the small deviation of the shear flow velocity from the uniform one. As application of the presented Green’s function, the sound field is evaluated for typical sound sources in some simple shear flows.