Analytical study of mode filtering in a duct with resistive layers
Hani Alahmadi, Muhammad Afzal, Usman Javeed, Tayyab Nawaz
TL;DR
This paper studies how sound waves behave in a cylindrical duct with flexible membranes and porous materials to improve noise control.
Contribution
The study introduces a new analytical framework that accounts for dynamic membranes and fluid-structure interactions in acoustic waveguides.
Findings
The model shows strong reflection and low-frequency absorption with minimal transmission.
Increasing the porous cavity length improves sound attenuation through enhanced dissipation.
The configuration acts as a tunable frequency-selective acoustic filter for noise control.
Abstract
This paper presents an analytical mode-matching framework to examine acoustic wave propagation in a cylindrical waveguide structure featuring a central porous cavity bounded by flexible membrane discs. Unlike conventional models that consider rigid or purely absorptive boundaries, the proposed approach accounts for the dynamic response of membranes and the coupled behavior of air and porous media, enabling accurate representation of fluid–structure interactions. The acoustic field is decomposed into symmetric and anti-symmetric modal components to capture key physical phenomena such as mode conversion, energy dissipation, and complex reflection–transmission mechanisms. Continuity conditions at the interfaces are applied to determine the interaction of wave modes between subdomains, allowing the calculation of reflected, transmitted, and absorbed acoustic powers. Numerical results…
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Taxonomy
TopicsAcoustic Wave Phenomena Research · Aerodynamics and Acoustics in Jet Flows · Aeroelasticity and Vibration Control