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The attenuation of the higher modes of acoustic waves in a rectangular tube

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Kirchhoff's theoretical treatment of plane wave propagation in a cylindrical tube, allowing for the finite viscosity and thermal conductivity of the gaseous medium, has been applied to the higher order modes of waves between a pair of parallel infinite planes; the more general case of the rectangular tube requires a boundary layer approach. The attenuation of (1,0) waves has been accurately measured in the 2.4…3.0 kc/s region using a new probe microphone technique to explore a system of standing waves in a rectangular tube. Under suitable experimental conditions the observed and theoretical values of attenuation constant are in agreement within 2%.

In contrast with the plane wave case, the ratio of viscous to thermal conduction losses for higher order mode waves is not constant but depends on the frequency and geometrical configuration of the waves. It is suggested, therefore, that measurements of the absorption of such waves may provide a new method of determining both the shear viscosity and thermal conductivity coefficients of gases.
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Document Type: Research Article

Publication date: January 1, 1953

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  • 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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