Article ID Journal Published Year Pages File Type
9640372 Journal of Sound and Vibration 2005 14 Pages PDF
Abstract
Acoustic waves in a rigid axisymmetric tube with a variable cross-section are considered. The governing Helmholtz equation is solved using Neumann series (expansions in Bessel functions of various orders) with a stretched radial coordinate, leading to a hierarchy of one-dimensional ordinary differential equations in the longitudinal direction. The lowest approximation for axisymmetric motion includes Webster's horn equation as a special case. Fourth-order differential equations are obtained at the next level of approximation. Good agreement with existing asymptotic theories for waves in slender tubes is found.
Related Topics
Physical Sciences and Engineering Engineering Civil and Structural Engineering
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