The scattering analysis of trifurcated waveguide involving structural discontinuities

The present article highlights the acoustic waves scattering in a trifurcated waveguide containing compressible fluid together with step discontinuities and change of bounding material properties. The study is important because of its applications in active noise control measures, especially used to...

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Main Authors: Touqeer Nawaz, Muhammad Afzal, Rab Nawaz
Format: Article
Language:English
Published: SAGE Publishing 2019-07-01
Series:Advances in Mechanical Engineering
Online Access:https://doi.org/10.1177/1687814019829282
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author Touqeer Nawaz
Muhammad Afzal
Rab Nawaz
author_facet Touqeer Nawaz
Muhammad Afzal
Rab Nawaz
author_sort Touqeer Nawaz
collection DOAJ
description The present article highlights the acoustic waves scattering in a trifurcated waveguide containing compressible fluid together with step discontinuities and change of bounding material properties. The study is important because of its applications in active noise control measures, especially used to control the low-frequency noise and related vibrations. The governing boundary value problem is solved by using the mode-matching technique. The solution is developed for the analysis of symmetric, uniform, and non-uniform cross-sections. The solution procedure begins by determining the expanded form of field potentials in various duct regions of the waveguide. Then, the pressures and the normal velocity modes across the waveguide regions are matched at interface. The energy flux against frequency and various duct configurations is plotted. The solution is validated altogether through the apposite analytical and numerical results.
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spelling doaj.art-d7dfeb0760174bd8b88144dd86341b582022-12-22T00:58:33ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402019-07-011110.1177/1687814019829282The scattering analysis of trifurcated waveguide involving structural discontinuitiesTouqeer Nawaz0Muhammad Afzal1Rab Nawaz2Department of Mathematics, Capital University of Science & Technology, Islamabad, PakistanDepartment of Mathematics, Capital University of Science & Technology, Islamabad, PakistanDepartment of Mathematics, COMSATS University Islamabad, Islamabad, PakistanThe present article highlights the acoustic waves scattering in a trifurcated waveguide containing compressible fluid together with step discontinuities and change of bounding material properties. The study is important because of its applications in active noise control measures, especially used to control the low-frequency noise and related vibrations. The governing boundary value problem is solved by using the mode-matching technique. The solution is developed for the analysis of symmetric, uniform, and non-uniform cross-sections. The solution procedure begins by determining the expanded form of field potentials in various duct regions of the waveguide. Then, the pressures and the normal velocity modes across the waveguide regions are matched at interface. The energy flux against frequency and various duct configurations is plotted. The solution is validated altogether through the apposite analytical and numerical results.https://doi.org/10.1177/1687814019829282
spellingShingle Touqeer Nawaz
Muhammad Afzal
Rab Nawaz
The scattering analysis of trifurcated waveguide involving structural discontinuities
Advances in Mechanical Engineering
title The scattering analysis of trifurcated waveguide involving structural discontinuities
title_full The scattering analysis of trifurcated waveguide involving structural discontinuities
title_fullStr The scattering analysis of trifurcated waveguide involving structural discontinuities
title_full_unstemmed The scattering analysis of trifurcated waveguide involving structural discontinuities
title_short The scattering analysis of trifurcated waveguide involving structural discontinuities
title_sort scattering analysis of trifurcated waveguide involving structural discontinuities
url https://doi.org/10.1177/1687814019829282
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