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References (30)
-
A. Offord (1938)
Introduction to the Theory of Fourier IntegralsNature, 141
-
J. Lawrie (2007)
A brief historical perspective of the Wiener–Hopf techniqueJournal of Engineering Mathematics, 59
-
J. Lam (1989)
Surface‐wave reflection and refraction at an impedance discontinuityJournal of Applied Physics, 66
-
D. Jones (1972)
Aerodynamic Sound Due to a Source Near a Half-PlaneIma Journal of Applied Mathematics, 9
-
P. Cannell (1976)
Acoustic edge scattering by a heavily loaded elastic half-planeProceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 350
-
M. Afzal, R. Nawaz, M. Ayub, A. Wahab (2014)
Acoustic Scattering in Flexible Waveguide Involving Step DiscontinuityPLoS ONE, 9
-
S. Asghar, T. Hayat (2005)
DIFFRACTION OF A SPHERICAL ACOUSTIC WAVE NEAR AN ABSORBING FINITEPLANE -
R. Mittra, S. Lee (1971)
Analytical techniques in the theory of guided waves -
R. Nawaz, A. Wahab, A. Rasheed (2014)
An intermediate range solution to a diffraction problem with impedance conditionsJournal of Modern Optics, 61
-
R. Nawaz, A. Naeem, M. Ayub, A. Javaid (2014)
Point source diffraction by a slit in a moving fluidWaves in Random and Complex Media, 24
-
S. Rienstra (1979)
Sound diffraction at a trailing edgeJournal of Fluid Mechanics, 108
-
A. Rawlins (1976)
7.—Acoustic Diffraction by an Absorbing Semi-Infinite Plane in a Moving Fluid, IIProceedings of the Royal Society of Edinburgh: Section A Mathematics, 75
-
AD Rawlins (1975)
Acoustic diffraction by an absorbing semi-infinite plane in a moving fluid IIProc. R. Soc. Edinb. ser A, 75
-
M. Howe (1986)
Attenuation of sound due to vortex shedding from a splitter plate in a mean flow ductJournal of Sound and Vibration, 105
-
A. Beck (1964)
The Theory of ElectromagnetismElectronics and Power, 10
-
A. Demir, A. Büyükaksoy (2005)
Wiener–Hopf approach for predicting the transmission loss of a circular silencer with a locally reacting liningInternational Journal of Engineering Science, 43
-
G. Latta, B. Noble (1960)
Methods Based on the Wiener-Hopf Technique.American Mathematical Monthly, 67
-
M. Ayub, M. Tiwana, A. Mann (2009)
Propagation of sound in a duct with mean flowCommunications in Nonlinear Science and Numerical Simulation, 14
-
D. Jones (1952)
A SIMPLIFYING TECHNIQUE IN THE SOLUTION OF A CLASS OF DIFFRACTION PROBLEMSQuarterly Journal of Mathematics, 3
-
R. Balasubramanyam (1984)
Aerodynamic Sound due to a Point Source near a Half-planeIma Journal of Applied Mathematics, 33
-
DS Jones (1972)
Aerodynamic sound due to a source near a half-planeJ. Inst. Math. Appl., 9
-
M. Ayub, M. Tiwana, A. Mann (2010)
Influence of acoustic dominant mode propagation in a trifurcated lined duct with different impedancesPhysica Scripta, 81
-
Mahmood-ul-Hassan, A. Rawlins (1999)
Sound radiation in a planar trifurcated lined ductWave Motion, 29
-
S. Asghar, B. Ahmad, M. Ayub (1991)
Point-Source Diffraction by an Absorbing Half-PlaneIma Journal of Applied Mathematics, 46
-
P. Cannell (1975)
Edge scattering of aerodynamic sound by a lightly loaded elastic half-planeProceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 347
-
M. Ayub, A. Naeem, R. Nawaz (2010)
Diffraction of an impulsive line source with wakePhysica Scripta, 82
-
J. Kaplunov, D. Markushevich (1993)
Plane vibrations and radiation of an elastic layer lying on a liquid half-spaceWave Motion, 17
-
M. Quinn, M. Howe (1986)
Absorption of sound at a slot in a splitter plate in a mean-flow ductJournal of Fluid Mechanics, 168
-
D. Scott, R. Churchill, J. Brown (1985)
Complex Variables and ApplicationsThe Mathematical Gazette, 69
-
M. Ayub, M. Tiwana, A. Mann (2011)
Wiener-Hopf analysis of an acoustic plane wave in a trifurcated waveguideArchive of Applied Mechanics, 81
- Publisher
- Springer Journals
- Copyright
- Copyright © 2016 by Springer International Publishing
- Subject
- Mathematics; Analysis; Mathematical Methods in Physics
- ISSN
- 1664-2368
- eISSN
- 1664-235X
- DOI
- 10.1007/s13324-016-0154-4
- Publisher site
- See Article on Publisher Site
Abstract
This article examines sound radiation from a hard semi-infinite duct placed symmetrically inside an acoustically lined duct. We introduce a wake on right handed region of the duct configuration to analyze sound radiation process for the trailing edge situation. The integral transforms together with Wiener–Hopf techniques render the solution of underlying problem. However expressions for field intensity involve infinite sums/products that enable solution using truncation approach. The sound radiation analysis is then observed graphically while using different choice of some pertinent parameters. It is worth mentioning that results of leading edge situation can be recovered as a limiting case.
Journal
Analysis and Mathematical Physics – Springer Journals
Published: Nov 12, 2016