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Related papers: Acoustic impedance of a cylindrical orifice

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Background: The acoustic damping in gas turbines and aero-engines relies to a great extent on acoustic liners that consists of a cavity and a perforated face sheet. The prediction of the impedance of the liners by direct numerical…

Fluid Dynamics · Physics 2018-01-17 Kersten Schmidt , Adrien Semin , Anastasia Thöns-Zueva , Friedrich Bake

This paper describes an investigation of the acoustic properties of a rigid plate with a periodic pattern of holes, in a compressible, ideal, inviscid fluid in the absence of mean flow. Leppington and Levine (J. Fluid Mech., 1973) obtained…

Numerical Analysis · Mathematics 2015-06-18 S. Laurens , E. Piot , A. Bendali , M'B. Fares , S. Tordeux

In this paper we introduce an optical approximation into the theory of impedance calculation, one valid in the limit of high frequencies. This approximation neglects diffraction effects in the radiation process, and is conceptually…

Accelerator Physics · Physics 2008-11-26 G. Stupakov , K. L. F. Bane , I. Zagorodnov

Useful approximation formulae for radiation impedance are given for the reflection coefficients of both infinitely flanged and unflanged rigid-walled cylindrical ducts. The expressions guarantee that simple but necessary physical and…

Classical Physics · Physics 2009-10-15 Fabrice Silva , Philippe Guillemain , Jean Kergomard , Bastien Mallaroni , Andrew N. Norris

The effect of viscosity and thermal conduction on the acoustics in a shear layer above an impedance wall is investigated numerically and asymptotically by solving the compressible linearised Navier-Stokes equations. It is found that…

Fluid Dynamics · Physics 2016-12-06 Doran Khamis , Edward James Brambley

An exact solution is presented for the resistance of an orifice in a 2D membrane separating two infinitely large conductive reservoirs and obstructed by an infinitely long cylinder. The solution is obtained by constructing a curvilinear…

Biological Physics · Physics 2026-04-27 Martin Charron , Vincent Tabard-Cossa

We study the problem of resonant extraordinary transmission of electromagnetic and acoustic waves through subwavelength slits in an infinite plate, whose thickness is close to a half-multiple of the wavelength. We build on the…

Fluid Dynamics · Physics 2021-03-17 Rodolfo Brandão , Jacob R. Holley , Ory Schnitzer

The acoustic properties of a porous sheet of medium resistivity backed by a rigid plate in which are embedded a periodic set of circular inclusions is investigated. Such a structure behaves like a multi-component diffraction gratings.…

Classical Physics · Physics 2010-07-20 Jean-Philippe Groby , Olivier Dazel , Aroune Duclos , Laurens Boeckx , Walter Lauriks

This work focuses on the length correction due to radiation effect of a duct discontinuity or at the surface of a perforated plate in the linear acoustic domain and at large wavelengths. Two results are obtained from the comparison of…

Classical Physics · Physics 2018-04-26 Luc Jaouen , Fabien Chevillotte

We seek the response, in particular the spectral absorptance, of a rigidly-backed periodically-(in one horizontal~~ direction) ~inhomogeneous ~layer ~composed ~of ~alternating rigid and macroscopically-homogeneous porous portions, submitted…

Applied Physics · Physics 2018-10-05 Armand Wirgin

This paper concerns the frequency domain problem of diffraction of a plane wave incident on an infinite right-angled wedge on which impedance (absorbing) boundary conditions are imposed. It is demonstrated that the exact…

Analysis of PDEs · Mathematics 2015-06-22 David P. Hewett , Aaron Morris

This work presents an analytical formalism for the modal series expansions of the acoustic radiation force and radiation torque experienced by a fluid viscous cylindrical object of arbitrary geometrical cross-section placed near a planar…

Classical Physics · Physics 2020-07-21 F. G. Mitri

The acoustic fields and streaming in a confined fluid depend strongly on the acoustic boundary layer forming near the wall. The width of this layer is typically much smaller than the bulk length scale set by the geometry or the acoustic…

Fluid Dynamics · Physics 2018-08-29 Jacob S. Bach , Henrik Bruus

This paper considers the asymptotic limit of small aspect ratio between vertical and horizontal spatial scales for viscous isothermal compressible flows. In particular, it is observed that fast vertical acoustic waves arise and induce an…

Analysis of PDEs · Mathematics 2023-05-16 Xin Liu , Edriss S. Titi

In this work, we propose a technique to enhance the performance of circular patch antennas using an embedded system of cylindrical impedance surfaces. The technique utilizes a derived analytical model of a circular patch antenna containing…

Applied Physics · Physics 2024-10-03 Mikhail Siganov , Stanislav Glybovski , Dmitry Tatarnikov

We formulate a weakly-nonlinear exit condition for open ends of acoustic waveguides without mean flow; to our knowledge this is the first time an acoustic open end has been analysed outside the linear regime. The resulting admittance…

Fluid Dynamics · Physics 2025-12-05 Freddie Jensen , Harry Turnbull , Edward James Brambley

We propose the design of an impedance matching acoustic bend in this article. The bending structure is composed of sub-wavelength unit cells with perforated plates and side pipes, whose mass density and bulk modulus can be tuned…

Classical Physics · Physics 2017-03-08 Yuzhen Yang , Han Jia , Wenjia Lu , Zhaoyong Sun , Jun Yang

Analytical expressions for the axial and transverse acoustic radiation forces as well as the radiation torque per length are derived for a rigid elliptical cylinder placed arbitrarily in the field of in plane progressive, quasi-standing or…

Classical Physics · Physics 2020-07-21 F. G. Mitri

In this paper we simulated self- and mutual- acoustic impedances of guided modes at the aperture and estimated accuracy of the piston radiation approximation. We used the Rayleigh integral to simulate the interactions between different…

Classical Physics · Physics 2014-11-18 Kyong-Su Won , Myong-Jin Kim , Song-Jin Im

The acoustic wave-propagation without mean flow and heat flux can be described in terms of velocity and pressure by the compressible nonlinear Navier-Stokes equations, where boundary layers appear at walls due to the viscosity and a…

Analysis of PDEs · Mathematics 2017-01-10 Anastasia Thoens-Zueva , Kersten Schmidt , Adrien Semin
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