An Acoustic Space-Time and the Lorentz Transformation in Aeroacoustics. Issue 7 (November 2015)

• Record Type: Journal Article
• Authors: Gregory, Alastair L; Sinayoko, Samuel; Agarwal, Anurag; Lasenby, Joan
• Is Part Of: International journal of aeroacoustics. Volume 14:Issue 7(2015)
• Page Start: 977
• Page End: 1003
• Publication Date: 2015-11
• Subjects: Aerodynamic noise -- Periodicals; Acoustical engineering -- Periodicals; Sound -- Periodicals; 629.1323
• DOI: 10.1260/1475-472X.14.7.977
• Languages: English
• ISSNs: 2048-4003

Abstract

In this paper we introduce concepts from relativity and geometric algebra to aeroacoustics. We do this using an acoustic space-time transformation within the framework of sound propagation in uniform flows. By using Geometric Algebra we are able to provide a simple geometric interpretation of the space-time transformation, and are able to give neat and lucid derivations of the free-field Green's function for the convected wave equation and the Doppler shift for a stationary observer and a source in uniform rectilinear motion in a uniform flow.