Wiener-hopf analysis of sound waves by a rigid cylindrical pipe with external impedance surface

Tiryakioglu B., Demir A.

International Journal of Mathematical Models and Methods in Applied Sciences, cilt.9, ss.558-565, 2015 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9
  • Basım Tarihi: 2015
  • Dergi Adı: International Journal of Mathematical Models and Methods in Applied Sciences
  • Derginin Tarandığı İndeksler: Scopus, INSPEC
  • Sayfa Sayıları: ss.558-565
  • Anahtar Kelimeler: Absorbent lining, Duct acoustics, Fourier transform, Saddle point technique, Wiener-hopf
  • Dokuz Eylül Üniversitesi Adresli: Hayır

Özet

© 2015, North Atlantic University Union NAUN. All rights reserved.In the present work, diffraction of sound waves emanating from a ring source by a rigid cylindrical pipe with external impedance surface, is analyzed. This boundary-value problem is investigated using Wiener-Hopf technique. To obtain a couple of simultaneous Wiener-Hopf equations, Fourier transform is applied. The solution which involves two sets of infinitely many constants satisfying two infinite systems of linear algebraic equations, is found analytically by the application of saddle point technique.