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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2021, Volume 61, Number 12, paper published in the English version journal (Mi zvmmf11337)  

This article is cited in 1 scientific paper (total in 1 paper)

Papers published in the English version of the journal

Sound radiation from non-uniformly lined duct with partial rigidity

B. Tiryakioglu

Department of Applied Mathematics, Marmara University, 34722, Istanbul, Turkey
Citations (1)
Abstract: Radiation of sound waves by a semi-infinite circular cylindrical pipe with non-uniform lining is analyzed by using the Jones’ method in conjunction with the mode matching technique. This mixed method of formulation gives rise to a scalar Wiener–Hopf equation. The inner surface of the duct is coated by acoustically absorbing different linings. In the present study, different linings with partial rigidity make the problem more interesting when it is compared with the uniform lining. The solution of the considered problem involves three infinite sets of coefficients satisfying three infinite systems of linear algebraic equations. Numerical solutions of these systems are obtained for various values of the parameters of the problem and their effects on the radiation phenomenon are shown graphically. The solution is compared graphically with a similar study existing in the literature. A perfect agreement is observed between the both results.
Key words: Wiener–Hopf technique, mode matching method, Fourier transform, saddle point technique.
Received: 07.01.2021
Revised: 08.06.2021
Accepted: 09.09.2021
English version:
Computational Mathematics and Mathematical Physics, 2021, Volume 61, Issue 12, Pages 2118–2128
DOI: https://doi.org/10.1134/S0965542521310031
Bibliographic databases:
Document Type: Article
Language: English
Citation: B. Tiryakioglu, “Sound radiation from non-uniformly lined duct with partial rigidity”, Comput. Math. Math. Phys., 61:12 (2021), 2118–2128
Citation in format AMSBIB
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\by B.~Tiryakioglu
\paper Sound radiation from non-uniformly lined duct with partial rigidity
\jour Comput. Math. Math. Phys.
\yr 2021
\vol 61
\issue 12
\pages 2118--2128
\mathnet{http://mi.mathnet.ru/zvmmf11337}
\crossref{https://doi.org/10.1134/S0965542521310031}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85122969340}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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