منابع مشابه
Webster's Horn Equation Revisited
The problem of low-frequency sound propagation in slowly varying ducts is systematically analyzed as a perturbation problem of slow variation. Webster’s horn equation and variants in bent ducts, in ducts with nonuniform soundspeed, and in ducts with irrotational mean flow, with and without lining, are derived, and the entrance/exit plane boundary layer is given. It is shown why a varying lined ...
متن کاملOn Webster’s horn equation and some generalizations
Sound waves along a rigid axisymmetric tube with a variable cross-section are considered. The governing Helmholtz equation is solved using power-series expansions in a stretched radial coordinate, leading to a hierarchy of one-dimensional ordinary differential equations in the longitudinal direction. The lowest approximation for axisymmetric motion turns out to be Webster’s horn equation. Fourt...
متن کاملHorn Complements: Towards Horn-to-Horn Belief Revision
Horn-to-Horn belief revision asks for the revision of a Horn knowledge base such that the revised knowledge base is also Horn. Horn knowledge bases are important whenever one is concerned with efficiency—of computing inferences, of knowledge acquisition, etc. Horn-to-Horn belief revision could be of interest, in particular, as a component of any efficient system requiring large commonsense know...
متن کاملDefinability of Horn Revision from Horn Contraction
In the AGM framework [Alchourrón and Makinson, 1985], a revision function can be defined directly through constructions like systems of spheres, epistemic entrenchment, etc., or indirectly through a contraction operation via the Levi identity. A recent trend is to construct AGM style contraction and revision functions that operate under Horn logic. A direct construction of Horn revision is give...
متن کاملOn the Use of Schr odinger ' s Equation in the Analytic Determination of Horn Re ectance
The ared horn is modeled assuming that Webster's horn equation is satis ed. Any shape can be assumed for the wavefront within the horn. This paper presents a technique for solving Webster's horn equation as follows: The equation is converted to the form of the Schrodinger wave equation used for one-dimensional particle scattering. The horn characteristics can then be obtained directly in terms...
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ژورنال
عنوان ژورنال: The Journal of the Acoustical Society of America
سال: 1993
ISSN: 0001-4966
DOI: 10.1121/1.407888