Acoustic propagation in flaring, axisymmetric horns

II. Numerical results, WKB theory, and viscothermal effects

Douglas H Keefe, Ana Barjau

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

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.

Original languageEnglish (US)
Pages (from-to)285-XI
JournalAcustica
Volume85
Issue number2
StatePublished - Dec 1 1999

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acoustic propagation
Acoustics
Acoustic wave propagation
Cones
spherical waves
Equations
Wentzel-Kramer-Brillouin method
spherical coordinates
electrical impedance
Waves
Curvilinear
wave propagation
cones
apexes
plane waves
derivation

ASJC Scopus subject areas

  • Acoustics and Ultrasonics

Cite this

Acoustic propagation in flaring, axisymmetric horns : II. Numerical results, WKB theory, and viscothermal effects. / Keefe, Douglas H; Barjau, Ana.

In: Acustica, Vol. 85, No. 2, 01.12.1999, p. 285-XI.

Research output: Contribution to journalArticle

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