Thermal and viscous effects on sound waves: revised classical theory

In this paper the recently developed, bi-velocity model of fluid mechanics based on the principles of linear irreversible thermodynamics (LIT) is applied to sound propagation in gases taking account of first-order thermal and viscous dissipation effects. The results are compared and contrasted with...

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Bibliographic Details
Published in:The Journal of the Acoustical Society of America 2012-11, Vol.132 (5), p.2963-2969
Main Authors: Davis, Anthony M J, Brenner, Howard
Format: Article
Language:English
Subjects:
Acoustics
Entropy
Gases
Linear Models
Motion
Pressure
Sound
Temperature
Time Factors
Viscosity
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Summary:In this paper the recently developed, bi-velocity model of fluid mechanics based on the principles of linear irreversible thermodynamics (LIT) is applied to sound propagation in gases taking account of first-order thermal and viscous dissipation effects. The results are compared and contrasted with the classical Navier-Stokes-Fourier results of Pierce for this same situation cited in his textbook. Comparisons are also made with the recent analyses of Dadzie and Reese, whose molecularly based sound propagation calculations furnish results virtually identical with the purely macroscopic LIT-based bi-velocity results below, as well as being well-supported by experimental data. Illustrative dissipative sound propagation examples involving application of the bi-velocity model to several elementary situations are also provided, showing the disjoint entropy mode and the additional, evanescent viscous mode.
ISSN:0001-4966
1520-8524
DOI:10.1121/1.4757971