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The propagation of sound in relaxing gases in tubes at low frequencies

Published online by Cambridge University Press:  28 March 2006

D. H. Smith  and
H. J. Wintle
D. H. Smith
Affiliation:
Physics Department, Woolwich Polytechnic, London, S.E. 18
H. J. Wintle
Affiliation:
Physics Department, Woolwich Polytechnic, London, S.E. 18 Present address: Physics Branch, Royal Military College of Science, Shrivenham, Swindon, Wilts.
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Abstract

The frequency dependence of the velocity and attenuation of sound waves in a gas which undergoes vibrational relaxation have been investigated theoretically. At low audible frequencies the attenuations due to viscosity, thermal conduction and relaxationin the gas, add linearly, while the velocity is the relaxation velocity diminished by the Helmholtz-Kirchhoff factor. The relations have been confirmed experimentally, and the free gas velocities of sound at zero frequency, one atmosphere pressure and 30 °C, found for carbon dioxide, air and oxygen, are 270·57 ± 0·04 m sec−1, 349·18 ± 0·02 m sec−1 and 331·33 ± 0·03 m sec−1, respectively. The corresponding specific heats are Cp/R = 4·537 ± 0·008 for carbon dioxide and Cp/R = 3·547 ± 0·003 for oxygen.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 9 , Issue 1 , September 1960 , pp. 29 - 38
Copyright
© 1960 Cambridge University Press

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