Abstract

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.

Highlights

  • A range of interesting and challenging problems that involve the wave scattering analysis in bifurcated and trifurcated waveguide channels have been discussed by many researchers

  • The fundamental interest of the present study is to apply the hybrid matching scheme to analyze the acoustic scattering in non-uniform and/or uniform trifurcated waveguide that contains compressible fluid in its duct sections and different bounding wall conditions

  • We have discussed the acoustic scattering in a trifurcated waveguide involving structural discontinuity at interface

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Summary

Introduction

A range of interesting and challenging problems that involve the wave scattering analysis in bifurcated and trifurcated waveguide channels have been discussed by many researchers. The fundamental interest of the present study is to apply the hybrid matching scheme to analyze the acoustic scattering in non-uniform and/or uniform trifurcated waveguide that contains compressible fluid in its duct sections and different bounding wall conditions. The inside of the waveguide regions contains compressible fluid and different bounding wall conditions.

Results
Conclusion

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