Abstract
The geometry of the pores in ordinary porous materials is not simple, and a direct calculation of the viscous and thermal interaction between the air and these materials is generally impossible to perform. Useful information can be obtained from the simple case of porous materials with cylindrical pores. In this chapter, a simple modelling of sound propagation in cylindrical tubes of various cross-sectional shapes is worked out, and this modelling is used to predict the acoustical properties of porous materials with cylindrical pores and to define important concepts like tortuosity.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Kirchhoff, G., “Uber der Einfluss der Wärmeleitung in einem Gase auf die Schallbewegung. Annalen der Physik and Chemie, 134 (1868) 177–93.
Zwikker, C. & Kosten, C. W., Sound Absorbing Materials. Elsevier, New York, 1949.
Tijdeman, H., On the propagation of sound waves in cylindrical tubes. J. Sound Vib., 39 (1975) 1–33.
Kergomard, J., Champ interne et champ externe des instruments à vent. Thèse Université de Paris VI, 1981.
Stinson, M. R., The propagation of plane sound waves in narrow and wide circular tubes, and generalization to uniform tubes of arbitrary cross-sectional shape. J. Acoust. Soc. Amer., 89 (1991) 550–8.
Gray, D. E.(coordinating ed.), American Institute of Physics Handbook. McGraw—Hill, New York, 1957.
Craggs, A. & Hildebrandt, J. G., Effective densities and resistivities for acoustic propagation in narrow tubes. J. Sound Vib., 92 (1984) 321–31.
Craggs, A. & Hildebrandt, J. G., The normal incidence absorption coefficient of a matrix of narrow tubes with constant cross-section. J. Sound Vib., 105 (1986) 101–7.
Hubner, K. H., The Finite Element Method for Engineers. WileyInterscience, New York, 1974.
Zienkiewicz, O. C., The Finite Element Method in Engineering Science. McGraw—Hill, London, 1971.
Biot, M. A., Theory of propagation of elastic waves in a fluid-saturated porous solid. II. Higher frequency range. J. Acoust. Soc. Amer.,28 (1956) 179–91.
Champoux, Y., Etude experimentale du comportement acoustique des materiaux poreux à structure rigide. PhD thesis, Carleton University, Canada, 1991.
Carman, P. C., Flow of Gases Through Porous Media. Butterworths, London, 1956.
Biot, M. A., Theory of propagation of elastic waves in a fluid-saturated porous solid. I. Low frequency range. J. Acoust. Soc. Amer.,28 (1956) 168–78.
Brown, R. J. S., Connection between formation factor for electrical resistivity and fluid—solid coupling factor in Biot’s equations for acoustic waves in fluid-filled porous media. Geophysics,45 (1980) 1269–75.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1993 Elsevier Science Publishers Ltd
About this chapter
Cite this chapter
Allard, J.F. (1993). Sound Propagation in Cylindrical Tubes and Porous Materials Having Cylindrical Pores. In: Propagation of Sound in Porous Media. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1866-8_4
Download citation
DOI: https://doi.org/10.1007/978-94-011-1866-8_4
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-85166-887-8
Online ISBN: 978-94-011-1866-8
eBook Packages: Springer Book Archive