The Webster Equation Revisited1
نویسنده
چکیده
The problem of low-frequency sound propagation in slowly varying ducts is systematically analysed as a perturbation problem of slow variation. The Webster equation and some variants are derived, and the entrance/exit plane boundary layer is given. It is shown why a varying lined duct in general does not have a solution.
منابع مشابه
Asymptotic stability of Webster-Lokshin equation
The Webster-Lokshin equation is a partial differential equation considered in this paper. It models the sound velocity in an acoustic domain. The dynamics contains linear fractional derivatives which can admit an infinite dimensional representation of diffusive type. The boundary conditions are described by impedance condition, which can be represented by two finite dimensional systems. Under t...
متن کاملBoolean games revisited1
Game theory is a widely used formal model for studying strategical interactions between agents. Boolean games [8] are two players, zero-sum static games where players’ utility functions are binary and described by a single propositional formula, and the strategies available to a player consist of truth assignments to each of a given set of propositional variables (the variables controlled by th...
متن کاملEvaluation of psychopharmacological and neurosafety profile of Swas Kas Chintamani Ras (SKC) in Swiss-Webster mice
Objectives: Swas Kas Chintamani Ras (SKC) is an ayurvedic preparation indicated for respiratory diseases. Our study was aimed to determine the psychopharmacological and neurosafety profile of SKC. Materials and Methods: Psychopharmacological effects and neurosafety profile of this drug were determined by nine complementary test methods namely, open field, locomotor activity, hole cross, hole bo...
متن کاملCoupling between hyperbolic and diffusive systems: A port-Hamiltonian formulation
The aim of this paper is to study a conservative wave equation coupled to a diffusion equation. This coupled system naturally arises in musical acoustics when viscous and thermal effects at the wall of the duct of a wind instrument are taken into account. The resulting equation, known as Webster-Lokshin model, has variable coefficients in space, and a fractional derivative in time. This equatio...
متن کاملQuantifying the availability of clay surfaces in soils for adsorption of nitrocyanobenzene and diuron.
Coverage of clay surfaces by soil organic matter (SOM) may limitthe efficacy of the soil mineral fractions for adsorption of organic contaminants and pesticides. Two methods were scrutinized for quantitatively assessing the availability of clay surfaces in a smectitic Webster A-horizon soil for sorption of p-nitrocyanobenzene (p-NCB) and diuron. One method, described previously, involves the su...
متن کامل