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Acoustic Propagation in Flaring, Axisymmetric Horns: II. Numerical Results, WKB Theory, and Viscothermal Effects

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This report presents the WKB approximation for the curvilinear horn (CH) equation, numerical comparisons of horn theories, and a model of viscothermal effects for acoustic wave propagation in axisymmetrical horns. The WKB solution is presented for the hyperbolic horn. The numerical comparisons for a hyperbolic horn profile show that the CH equations are more accurate than the plane-wave horn equation or previous spherical-wave horn equations. The CH equation using spherical coordinates has only small errors compared to the CH equation using oblate spheroidal coordinates. A variational derivation of viscothermal losses is constructed based upon the concept of wall admittance using orthogonal coordinates. The important case of the spherical-wave horn equation is considered as a special case using the first-order WKB theory. Differences from existing theory are observed near the apex of the cone.
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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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