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Molecular and Quantum Acoustics

Tytuł artykułu

Sound waves diffraction phenomena at opening of soft cylindrical ducts

Autorzy Snakowska, A. 
Treść / Zawartość
Warianty tytułu
Języki publikacji EN
EN The paper presents analytical description of diffraction phenomena at the opening of an acoustically soft cylindrical duct and solution of the wave equation with adequate boundary condition imposed by the duct wall. Mathematical tools which were applied are the Green’s first theorem and the Green’s free-space function in cylindrical co-ordinates. As a result, the velocity potential was expressed as a surface integral, containing discontinuity of the normal component of the particle velocity on the duct wall. The solution of the problem consists in calculating this discontinuity by means of the Wiener-Hopf technique and results in formulas for the velocity potential inside and outside the duct.
Słowa kluczowe
Wydawca Silesian Division of Polish Acoustical Society
Czasopismo Molecular and Quantum Acoustics
Rocznik 2007
Tom Vol. 28
Strony 241--246
Opis fizyczny Bibliogr. 10 poz., rys.
autor Snakowska, A.
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3. A. Snakowska, R. Wyrzykowski, Archives of Acoustics 11/3, 261-285 (1986).
4. E.J. Rice, “Modal propagation angles in ducts with soft walls and their connection with suppressor performance”, AIAA 5th Aero-acoustics Conference, Seattle (1979).
5. A.D. Rawlins, “Radiation of sound from an unflanged rigid cylindrical duct with an acoustically absorbing internal surface”, Proc. R. Soc. London A 361, 65-91 (1978).
6. P. Kaniewski, Molecular and Quantum Acoustics 26, 129-148 (2005).
7. P.M. Morse, H. Feshbach. “Methods of theoretical physics” Mc Graw Hill, New York 1961.
8. V. Petrov, S. Lapin, V. Chirkov, Molecular and Quantum Acoustics 24, 141-148 (2003).
9. L. Leniowska, Molecular and Quantum Acousics 24, 109-124 (2003).
10.L.A. Weinstein, “The theory of diffraction and the factorization method (Generalised Wiener-Hopf technique)”, Golem Press, Boulder, Colorado, 1969.
Kolekcja BazTech
Identyfikator YADDA bwmeta1.element.baztech-article-BUJ7-0009-0026