Nonlinear propagation of arbitrary plane waves in ducts carrying plug flows
Abstract
An analysis is presented of the propagation of high intensity plane waves in uniform ducts carrying uniform mean flows. The method of renormalization is used to determine a uniformly valid firstorder expansion for running waves in the shock free regions. This expansion is combined with weakshock theory to describe the wave propagation in the ducts. The effects of viscosity near the duct walls (mean and acoustic boundary layers) can be accounted for by decomposing the wave over short distances into its harmonic content and correcting each component independently. The mean boundary layer distorts the waves by dispersion, while the acoustic boundary layer distorts the waves by both dispersion and attenuation.
 Publication:

American Institute of Aeronautics and Astronautics
 Pub Date:
 June 1975
 Bibcode:
 1975fpdy.conf.....K
 Keywords:

 Acoustic Ducts;
 Acoustic Propagation;
 Ducted Flow;
 Plane Waves;
 Shock Wave Propagation;
 Uniform Flow;
 Acoustic Attenuation;
 Boundary Layer Flow;
 Harmonic Analysis;
 Nonlinear Equations;
 Sound Waves;
 Wave Dispersion;
 Wave Propagation;
 Waveforms;
 Fluid Mechanics and Heat Transfer