Radiation of sound waves by semi-perforated duct

TİRYAKİOĞLU B., ÖZTÜRK H.

JOURNAL OF INTERDISCIPLINARY MATHEMATICS, cilt.25, sa.8, ss.2289-2300, 2022 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 8
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1080/09720502.2021.1959998
  • Dergi Adı: JOURNAL OF INTERDISCIPLINARY MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.2289-2300
  • Anahtar Kelimeler: Fourier transform, Wiener-Flopf method, Boundary value problem, Radiation, Acoustics, MEAN FLOW, PROPAGATION, ABSORPTION, SCATTERING
  • Marmara Üniversitesi Adresli: Evet

Özet

In this paper, the Wiener-Hopf method is studied to solve the radiation of acoustic waves from a perforated part through an infinite channel. At first the boundary value problem involving a Helmholtz equation with mixed-boundary conditions is formulated into a Wiener Hopf equation by applying the Fourier transform. After that the Wiener-Hopf kernel is split into two functions that are analytic in specified regions of the complex-plane and equation is solved analytically. Finally, numerical results showing the effect of the problem's parameters (channel radius, frequency, etc.) on the radiation phenomenon are graphically displayed.