Acoustic diffraction in a trifurcated waveguide with mean flow

被引：24

作者：

Ayub, M. ^{[1
]}

Tiwana, M. H. ^{[1
]}

Mann, A. B. ^{[1
]}

机构：

[1] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2010年 / 15卷 / 12期

关键词：

Sound diffraction; Integral transform; Wiener-Hopf technique; Expansion coefficients; Convective flow; Pole removal technique; PLANES;

D O I：

10.1016/j.cnsns.2010.01.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Diffraction of acoustic plane wave through a semi-infinite hard duct which is placed symmetrically inside an infinite soft/hard duct has been analyzed rigorously. Convective flow has been taken into consideration for the analysis. In this paper the applied method of solution is integral transform and Wiener-Hopf technique. The imposition of boundary conditions result in a 2 x 2 matrix Wiener-Hopf equation associated with a new canonical scattering problem which has been solved explicitly by expansion coefficient method. The graphs are plotted for sundry parameters of interest. Kernel functions are factorized. The results have applications to duct acoustics. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：3939 / 3949

页数：11

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