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Resonance frequencies of a cavity containing a compressible viscous fluid

✍ Scribed by C. Conca; J. Planchard; M. Vanninathan

Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
717 KB
Volume
16
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

The aim of this paper is to study the resonance spectrum of a cavity containing a compressible viscous fluid. This system admits a discrete infinite sequence of eigenvalues whose real parts are negative, which is interpreted as the damping effect introduced by viscosity. Only a finite number of them have non‐zero imaginary parts and this number depends on viscosity; a simple criterion is given for their position in the complex plane. The case of a cavity containing an elastic mechanical system immersed in the fluid is also examined; from a qualitative point of view, the nature of the resonance spectrum remains unchanged.

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