Scattering matrices in non-uniformly lined ducts

被引：0
作者：
Ahmet Demir
机构：
[1] Karabuk University,Faculty of Engineering
来源：
Zeitschrift für angewandte Mathematik und Physik | 2017年 / 68卷
关键词：
Fourier transform; Wiener–Hopf; Muffler; Absorbent lining; Scattering matrix; 42B10; 45E10; 30D05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Sudden area expansion and sudden area contraction in an infinitely long duct with discontinuous locally reacting lining are defined by respective mixed boundary value problems. In the absence of a sudden area change, a separate problem with an infinite duct having bifid lining on its wall is described. Introducing Fourier transform along the duct axis boundary value problems is solved by the well-known Wiener–Hopf technique, and then, corresponding scattering matrices are constructed. To show the proper use of scattering matrices in the case of several discontinuities and also validation and comparison purposes, transmitted field in a duct with an inserted expansion chamber whose walls are treated by acoustically absorbent material is derived by the help of the relevant scattering matrices. A perfect agreement is observed when the transmitted fields are compared numerically with a similar work exists in the literature.
引用
收藏
相关论文
共 24 条
[1]  
Pace J(1964)Generalized scattering matrix analysis of waveguide discontinuity problems Quasi-Optics XIV 177-197
[2]  
Mittra R(1981)The propagation of sound in cylindrical ducts with mean flow and bulk-reacting lining, III—step discontinuities IMA J. Appl. Math. 27 105-131
[3]  
Nilsson B(1981)The propagation of sound in cylindrical ducts with mean flow and bulk-reacting lining, IV—several interacting discontinuities IMA J. Appl. Math. 27 263-289
[4]  
Brander O(1996)A study of wave propagation in varying cross-section waveguides by modal decomposition, part I: theory and validation J. Acoust. Soc. Am. 100 2034-2048
[5]  
Nilsson B(1980)Acoustic transmission matrix of a variable area duct or nozzle carrying a compressible subsonic flow J. Acoust. Soc. Am. 69 1577-1586
[6]  
Brander O(1983)A time averaging transient testing method for acoustic property of piping systems and mufflers with flow J. Acoust. Soc. Am. 73 867-876
[7]  
Pagneux V(1995)A modified segmentation approach for analyzing plane wave propagation in non-uniform ducts with mean flow J. Sound Vib. 182 697-707
[8]  
Amir N(2006)Acoustic scattering by an axially-segmented turbofan inlet duct J. Sound Vib. 294 780-806
[9]  
Kergomard J(2013)On sound generation in cylindrical flow ducts with non-uniform wall impedance Int. J. Aeroacoust. 12 309-347
[10]  
Miles JH(2003)Transmission of sound waves in a cylindrical duct with an acoustically lined muffler IJES 41 2411-2427
123