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...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
SAGE Publishing
2019-07-01
|
Series: | Advances in Mechanical Engineering |
Online Access: | https://doi.org/10.1177/1687814019829282 |
_version_ | 1828778008560795648 |
---|---|
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. |
first_indexed | 2024-12-11T16:33:33Z |
format | Article |
id | doaj.art-d7dfeb0760174bd8b88144dd86341b58 |
institution | Directory Open Access Journal |
issn | 1687-8140 |
language | English |
last_indexed | 2024-12-11T16:33:33Z |
publishDate | 2019-07-01 |
publisher | SAGE Publishing |
record_format | Article |
series | Advances in Mechanical Engineering |
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 |
work_keys_str_mv | AT touqeernawaz thescatteringanalysisoftrifurcatedwaveguideinvolvingstructuraldiscontinuities AT muhammadafzal thescatteringanalysisoftrifurcatedwaveguideinvolvingstructuraldiscontinuities AT rabnawaz thescatteringanalysisoftrifurcatedwaveguideinvolvingstructuraldiscontinuities AT touqeernawaz scatteringanalysisoftrifurcatedwaveguideinvolvingstructuraldiscontinuities AT muhammadafzal scatteringanalysisoftrifurcatedwaveguideinvolvingstructuraldiscontinuities AT rabnawaz scatteringanalysisoftrifurcatedwaveguideinvolvingstructuraldiscontinuities |