Abstract
This paper is concerned with the study of simplified equations governing the laminar non-stationary motion of a viscous compressible gas in a cylindrical duct of finite length. We have chosen spaces and operators leading to the formulation of a well posed Cauchy-Hadamard problem. Galerkin’s method has been used to prove the existence of the solution and to construct a sequence of approximations.
The theory has been applied to a circular cross-section duct open at one end and subjected at the other end to a sinusoidal pressure fluctuation.
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
J-L. PEUBE. Propagation des ondes dans une conduite cylindrique de section quelconque (Colloque Euromech, 23, Zurich, avril 1971).
Lord RAYLEIGH. The Theory of Sound, tome II. Dover Publications. 1896.
J-L. LIONS et E. MAGENES. Problèmes aux limites non homogènes et applications, tome I. Dunod, Paris. 1968.
C. ZWIKKER et C. KOSTEN. Sound Absorbing Materials. Amsterdam: Elsevier. 1949.
H. TIJDEMAN. On the propagation of sound waves in cylindrical tubes. Journal of Sound and Vibration 39 (1) p 1–33. 1975.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1976 Springer-Verlag
About this paper
Cite this paper
Coirier, J. (1976). On an evolution problem in linear acoustics of viscous fluids. In: Germain, P., Nayroles, B. (eds) Applications of Methods of Functional Analysis to Problems in Mechanics. Lecture Notes in Mathematics, vol 503. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088763
Download citation
DOI: https://doi.org/10.1007/BFb0088763
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07629-2
Online ISBN: 978-3-540-38165-5
eBook Packages: Springer Book Archive