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Acoustic Propagation in Flaring, Axisymmetric Horns: I. A New Family of Unidimensional Solutions

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A curvilinear-unidimensional-horn-with-flare equation (CH) is derived based upon the assumption that there exists a family of time-invariant equipotential surfaces normal to the profile and the axis of an axisymmetric horn. The formulation is independent of the choice of equipotential surfaces geometry, and takes into account the local changes in horn flare. Two particular choices are presented: spherical surfaces (leading to the spherical-wave horn equation, SH) and oblate ellipsoidal ones (leading to the OH equation). The particularization of SH and OH is presented for an exponential, a catenoidal and a Bessel horn. The application of this new approximated horn equation to a particular case and its comparison with the exact solution is dealt with in a parallel article.
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Document Type: Research Article

Publication date: March 1, 1999

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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