Acoustic scattering analysis in a lined waveguide involving step-discontinuities with generalized planar boundaries

Nawaz, Touqeer; Afsar, Haleem

doi:10.1080/17455030.2023.2165734

Cited by 4 publications

(1 citation statement)

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“…More, recently, Tiryakioglu investigated the radiation or diffraction phenomena of sound waves in cylindrical conduit with perforated outer wall by Wiener-Hopf (WH) technique, [28]. WH approach is valid for continuous waveguide but has a limitation for discontinuous waveguide structure, see [29,30]. In contrast, the benchmark MM scheme has been adopted to both continuous and discontinuous in waveguide structure with absorbent lining boundaries as well as for higher-order boundaries, see for instance, [31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Optimizing the noise control in a two-layer conduit

Shafique,

Arsalan Ahmad,

Afzal

2024

Phys. Scr.

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In the modern world, noise pollution is a major concern due to its prevalence. This work focuses on optimizing noise control in a two-layer conduit. A conduit comprises an inlet and double-outlet zone (DOZ). The upper walls of the DOZ are lined with perforated absorbent material while the lower walls are layered with ﬁbrous. Mathematically, the physical problem is formulated with a ﬁeld wave equation together with rigid and impedance boundary conditions in the respective zones. Such governing boundary value problem (BVP) leads to the Sturm-Liouville (SL) category in which standard orthogonality relations (OR) are indispensable. The system of the linear equations of the BVP is acquired with a semi-analytical Mode-Matching (MM) approach by implementing the continuity conditions of sound pressures and velocities at the matching junction with the aid of OR. These systems are truncated and solved numerically with computation learning to obtain the reﬂected and transmitted modal amplitudes in respective zones. Due to the lining’s perforated upper walls, ﬁbrous lower walls, and reversal in the DOZ, the analysis of the reﬂected and transmitted powers versus frequencies is signiﬁcantly observed and is shown in graphical ﬁndings. The algebraic derivation is validated by satisfying the conservation law of power ﬂux and matching continuity conditions for impedance, perforated, and ﬁbrous lined boundaries.

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Section: Introductionmentioning

confidence: 99%

Optimizing the noise control in a two-layer conduit

Shafique,

Arsalan Ahmad,

Afzal

2024

Phys. Scr.

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Reflection and transmission analysis of an acoustic trifurcated waveguide with wave‐bearing structural discontinuity

Afsar

Alam

2023

Math Methods in App Sciences

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The dilution of undesired and vandalize noise to a sustainable level is the subject of continuing research in the fields of applied mathematics, physics, and engineering. Therefore, the present study investigates the mechanism of an acoustic wave scattering, which includes the force propagation due to the incidence through region of elastic boundary condition. Both planar and nonplanar surfaces are allowed in this waveguide configuration. In this structure, the scattered fields in the regions of the inner surfaces are acoustically rigid and satisfy the standard orthogonality relation, while the fields on the upper outer surfaces are flexural nature that can be tackled using modified orthogonality relation. Thus, we intend to simultaneously take into account the behavior of the scattered field in both planar and nonplanar zones. Solving nonorthogonal eigenfunctions required the development of a modified orthogonality relation. Modified orthogonal relation and the mode‐matching (MM) technique have combined to get the solution of proposed model. The last section graphically discusses the solution for various frequencies and heights to observe the scattering behavior in all regions of the duct. In accordance with different characteristics of the waveguide material, expressions for the distribution of powers in different parts of the channel are developed and schematically depicted. A variety of mathematical and physical justifications provide strong support to results.

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