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Resonant frequencies of a fluid in containers with internal bodies

✍ Scribed by E. B. B. Watson; D. V. Evans

Publisher
Springer
Year
1991
Tongue
English
Weight
928 KB
Volume
25
Category
Article
ISSN
0022-0833

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✦ Synopsis

A number of problems are solved for the resonant frequencies of oscillation of a fluid in rectangular or circular containers having internal bodies such as surface or bottom-mounted vertical blocks or circular apertures in the top surface. The variation of these frequencies with the dimensions of the bodies is obtained. The method uses matched eigenfunction expansions and Galerkin expansions to derive explicit forms for the elements S,j of a 2 x 2 matrix required in the course of the solution. An approximate formula for an arbitrary-shaped body in a container which gives good agreement with the more accurate Galerkin approach is used to solve the resonant frequencies when the internal body is a submerged cylinder.

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## 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 n