Linear inviscid wave propagation in a waveguide having a single boundary discontinuity: Part I: Theory

TR Number
Date
1984-02-01
Journal Title
Journal ISSN
Volume Title
Publisher
Acoustical Society of America
Abstract

An examination of wave propagation in waveguides of rectangular cross section having a single boundary discontinuity is presented. Special attention is paid to waveguides with heights that are small compared to an acoustic wavelength. It is shown that the dynamic behavior of the enclosed fluid can be parametrized by the value of a single small parameter ɛ, where ɛ is the ratio of the typical duct height H₀ to the wall wavelength L₀. The influence of planar discontinuities of zero and small but finite thickness on wave propagation is determined using the method of matched asymptotic expansions. Junction conditions, impedance across the junction, and uniformly valid composite expansions for the pressure in the duct are presented.

Description
Keywords
Acoustic waveguides, Wave propagation
Citation
Thompson, C. (1984). Linear inviscid wave propagation in a waveguide having a single boundary discontinuity: Part I: Theory. Journal of the Acoustical Society of America, 75(2), 346-355. doi: 10.1121/1.390478