Hostname: page-component-7dd5485656-k8lnt Total loading time: 0 Render date: 2025-10-30T19:40:40.131Z Has data issue: false hasContentIssue false
  • English
  • Français

High-frequency sound waves in ideal gases with internal dissipation

Published online by Cambridge University Press:  28 March 2006

J. Dunwoody
J. Dunwoody
Affiliation:
Department of Engineering Mathematics, The Queen's University of Belfast
Get access Rights & Permissions [Opens in a new window]

Abstract

High-frequency plane sound waves in ideal gases with internal dissipation are discussed. Particular applications to dissociating diatomic gases and gases displaying vibrational relaxation are considered. A criterion in the form of an inequality is derived for the validity of the high-frequency approximation and an asymptotic analysis is developed.

Information

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 34 , Issue 4 , 23 December 1968 , pp. 769 - 782
Copyright
© 1968 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

Coleman, B. D. & Guetin, M. E. 1967a J. Chem. Phys. 47, 597–613.
Coleman, B. D. & Guetin, M. E. 1967b Phys. Fluids, 10, 1454–1458.
Courant, R. & Hilbert, D. 1962 Methods of Mathematical Physics, vol. 2. New York: Interscience.
DE GROOT, S. R. 1951 Thermodynamics of Irreversible Processes. North-Holland.
Li, T. Y. 1961 A.R.S. J. 31, 170–178.
Lick, W. 1967 Advances in Applied Mechanics, 9, 1, New York: Academic Press.
Prigogine, I. & Defay, R. 1954 Chemical Thermodynamics. London: Longmans, Green and Co.
Prigogine, I. 1963 Introduction to Thermodynamics of Irreversible Processes. New York: Interscience.
Rarity, B. S. H. 1967 J. Fluid Mech. 27, 49–58.
Serrin, J. 1959 Handbuch der Physik, Band VIII 1. Berlin: Springer-Verlag.
Varley, E. & Cumberbatch, E. 1966 J. Inst. Maths. Appl. 2, 133–143.
Whitham, G. B. 1956 J. Fluid Mech. 1, 290–318.