Sound radiation in a planar trifurcated lined duct

Mahmood-ul-Hassan,; Rawlins, A. D.

doi:10.1016/s0165-2125(98)00026-2

Cited by 31 publications

(19 citation statements)

References 4 publications

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“…Obviously, the cut-on and cut-off points will change because of the change of boundary conditions on y = ±b . This graph agrees with an independent calculation, see Mahmood-ul-Hassan and Rawlins [3,4] for this problem which shows that…”

Section: )supporting

confidence: 91%

“…The exhausts of modern engines are designed to try to reduce the noise emitted as much as possible. One way of achieving this is to use novel geometrical designs, and the use of various sound absorbent materials for the exhaust system, see Rawlins [1,2], Mahmood-ul-Hassan and Rawlins [3,4]. Ducts and pipes, in which sound propagates, can be good carriers of acoustic energy and are therefore called acoustic waveguides.…”

Section: Introductionmentioning

confidence: 99%

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Wave propagation in a waveguide

Rawlins

Mahmood-ul-Hassan

2003

Z Angew Math Mech

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MSC (2000) 74J15, 78A40, 78A50We shall consider the sound radiation of a surface wave mode which propagates towards the mouth of a semi-infinite waveguide which supports surface waves. This semi-infinite waveguide is symmetrically located inside an infinite waveguide whose surface is lined with an absorbent surface. The whole system constitutes a new trifurcated waveguide boundary value problem. This model results in a scalar Wiener-Hopf problem. An exact closed form solution is obtained with the aid of the Wiener-Hopf technique. The theoretical problem solved has application in acoustics and electromagnetism.

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Section: )supporting

confidence: 91%

Section: Introductionmentioning

confidence: 99%

Wave propagation in a waveguide

Rawlins

Mahmood-ul-Hassan

2003

Z Angew Math Mech

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“…In place of the infinite square lattice, if the pair of semi-infinite defects are placed symmetrically on a square lattice waveguide, then the same formulation can be extended to what are known as trifurcated waveguides [52,53]. The additional confinement induces different structure factors in the two WH kernels.…”

Section: Discussionmentioning

confidence: 99%

Discrete scattering by a pair of parallel defects

Sharma

Maurya

2019

Phil. Trans. R. Soc. A.

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Scattering of a time-harmonic anti-plane shear wave due to either a pair of crack tips or a pair of rigid constraint tips on square lattice is considered. The two problems correspond to the so-called zero-offset case of scattering due to a pair of identical Sommerfeld screens. The peculiar structural symmetry allows the reduction of coupled equations to two scalar Wiener–Hopf equations and a total of four geometrically reduced problems on lattice half-plane. Exact solution of each problem for incidence from the bulk lattice, as well as from an associated lattice waveguide, is constructed. A suitable superposition of the four expressions is used to construct the solution of the main problem. The discrete paradigm involving the wave mode incident from the waveguide is relevant for modern applications where an investigation of mechanisms of electronic and thermal transport at nanoscale remains an interesting problem. This article is part of the theme issue ‘Modelling of dynamic phenomena and localization in structured media (part 2)’.

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“…The curiosity is to reduce the ducted fan noise emanated from aero engines, power stations and heating, ventilation, and air conditioning (HVAC) systems. Numerous investigations have been made to explore reduction of unwanted noise from di¤erent types of obstacles [1][2][3][4][5][6]. Several mathematical models and techniques exist for computing sound attenuation from di¤erent sources; see for example [7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

On mode-matching analysis of fluid-structure coupled wave scattering between two flexible waveguides

2017

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A mode-matching analysis articulates the coupled wave scattering in a 2D waveguide structure. An elastic plate is attached at the upper surface parallel to the axis of inlet/outlet ducts whereas a ‡anged junction is introduced between two ‡exible waveguides. The main intention is to see that how choice of appropriate edge conditions and the incident forcing a¤ect the scattered …eld for both structure-borne and ‡uid-borne vibrations. The graphical results illustrate to draw di¤erent physical conclusions. Through apposite numerical results, we observe the power distributions in attenuated regions with abrupt changes of height. Such con…gurations are directly relevant to the models of ‡uid/structural interactions.

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Sound radiation in a planar trifurcated lined duct

Cited by 31 publications

References 4 publications

Wave propagation in a waveguide

Wave propagation in a waveguide

Discrete scattering by a pair of parallel defects

On mode-matching analysis of fluid-structure coupled wave scattering between two flexible waveguides

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