Modeling of sound propagation in a planar waveguide with rounded bends
DOI:
https://doi.org/10.17721/1812-5409.2025/2.16Keywords:
acoustic wave, waveguide, sound field, homogeneous modes, inhomogeneous modes, energy coefficients, partial domains methodAbstract
The relevance of this study is determined by the practical significance of waveguides with complex geometries and the strong dependence of their wave propagation characteristics on the physical and geometric parameters of the system. This work aims to investigate the regularities of sound wave propagation in a planar waveguide filled with an ideal compressible fluid and containing two rounded bends. A numerical–analytical model based on the partial domains method has been developed, enabling the analysis of acoustic wave behavior in the waveguide depending on the selected parameters. The features of wave transmission through geometric inhomogeneities are analyzed for two bending angle configurations across a wide range of normalized wavelengths. The energy transmission coefficients of the sound wave through the bends, as well as the propagating mode excitation coefficients, have been computed over an extensive set of parameters. The obtained results have been verified by checking the fulfillment of the energy conservation law. It is shown that the computational error increases with larger normalized wavelengths and bending angles, but can be reduced by accounting for a greater number of inhomogeneous modes. The onset of higher-order propagating modes reduces the transmission coefficient, while the emergence of the first mode can lead to a complete suppression of the wave energy flux. For bending angles of 45°, the zero mode dominates across almost the entire range of normalized wavelengths. For bending angles of 135°, additional regions of reduced transmission are observed due to the resonant properties of the waveguide geometry. In this case, the zero mode dominates in the lower half of the considered wavelength range, while the first mode becomes dominant in the upper half. The obtained results can be applied in the design of air ducts, frequency-selective acoustic devices, and noise reduction systems. A promising direction for future research is the detailed study of intermodal energy conversion mechanisms, which provides opportunities for controlling the spatial structure of the acoustic field.
Pages of the article in the issue: 113 - 116
Language of the article: Ukrainian
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Copyright (c) 2025 Yaroslav P. Trotsenko, Volodymyr V. Kuzmenko
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