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Aeroacoustics of Low Mach Number Flows by William Devenport, Stewart Glegg

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3

Linear acoustics

Abstract

In this chapter we will review the basic concepts of linear acoustics. We will start by deriving the acoustic wave equation for small linear perturbations in a stationary fluid and then discuss the general characteristics of sound propagation, the sound radiation from volume displacement and dipole sources, the far field approximation, and acoustic scattering. We will also introduce the concept of Green's functions and solutions to the wave equation in both the time and the frequency domains. Finally the concept of Fourier transforms and their application in acoustics will be discussed.

Keywords

Linear acoustics; Far field approximation; Monopole sources; Dipole sources; Green's functions; Fourier transforms

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