Analytical Approximations Related to the Kirchhoff Theory of Acoustic Wave Propagation in Long Cylindrical Tubes
Author: Rathnam, K.
Source: Acta Acustica united with Acustica, Volume 97, Number 3, May/June 2011 , pp. 519-524(6)
Publisher: S. Hirzel Verlag
Abstract:A theoretical study is made of the Kirchhoff theory of acoustic wave propagation in long cylindrical tubes with the objective of deriving analytical expressions for the propagation constant by employing an expansion scheme. The only assumption made is that the Stokes layer thickness v/ω is much smaller than the wave length a/ω and this provides the expansion parameter. Analytical expressions are obtained for the propagation constant without necessity of solving the algebraic and transcendental equations. Explicit results are obtained for the wide tube case and the numerical values are compared with the computed values reported in literature.
Document Type: Research article
Publication date: 2011-05-01
- Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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