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An Expansion Scheme for the Kirchhoff Theory of Acoustic Damping in Long Tubes Containing Rarefied Gases

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Abstract:

An expansion scheme is employed to solve the problem of the propagation of acoustic waves in an infinite cylindrical tube. In the governing equations all the terms of the linearised Navier-Stokes equations are retained and in the boundary conditions are incorporated the corrections due to the wall temperature fluctuation and the slip and temperature jump. The only assumption made is that the Stokes layer thickness is much smaller than the wave length Λ and this provides the expansion parameter. The emphasis is laid on the calculation of attenuation coefficient and explicit results are obtained both for large and small values of the tube radius. The scheme is shown to be valid for R where is the mean free path and R is the tube radius.

Document Type: Research Article

DOI: https://doi.org/10.3813/AAA.918230

Publication date: 2009-11-01

More about this publication?
  • 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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