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1 - Some Preliminaries

Published online by Cambridge University Press:  11 May 2021

Erkan Dokumacı
Erkan Dokumacı
Affiliation:
Dokuz Eylül University
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Summary

This chapter describes the basic analytic concepts and operations which are invoked throughout the book. Mathematical models of sound wave motion in ducts come from the solutions of the linearized forms of the basic fluid dynamic equations of unsteady fluid flow in frequency and wavenumber domains. The process of linearization is discussed in depth and the frequency and wavenumber transformations are defined rigorously. A quantity that is often of interest in duct acoustics is the acoustic power transmitted in a duct. Calculation of time-averaged acoustic power transmitted in ducts is described a unified manner. Finally, we describe the mathematical link with the analyses presented in the book and linear system dynamics. These topics are collected in this preliminary chapter as primer and also to avoid interruption of the continuity of discussions on the principal subjects.

Keywords

linearizationfrequency domainwavenumber domainacoustic power and intensitylinear systems
Type
Chapter
Information
Duct Acoustics
Fundamentals and Applications to Mufflers and Silencers
 , pp. 1 - 22
Publisher: Cambridge University Press
Print publication year: 2021

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References

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Dokumaci, E., On the effect of viscosity and thermal conductivity on sound power transmitted in uniform circular ducts, J. Sound Vib. 363 (2016), 560–570.CrossRefGoogle Scholar
Morfey, C.L., Acoustic energy in non-uniform flows, J. Sound Vib. 14 (1971), 159–170.CrossRefGoogle Scholar

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