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.
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References
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© 1976 Springer-Verlag
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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
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DOI: https://doi.org/10.1007/BFb0088763
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