A Note on Ring Source over Semi-Infinite Rigid Pipe

Yıl 2019, Cilt: 31 Sayı: 2, 133 - 139, 30.06.2019

Burhan TİRYAKİOĞLU

https://doi.org/10.7240/jeps.488305

Cited By: 1

Öz

In this paper, rigid-lined infinite tube is
considered. An analytical solution is presented for the diffraction problem of
acoustic waves spreading from a ring source by an infinite tube. Applying the
boundary and continuity conditions in conjunction with the Fourier transform
technique, the boundary value problem is solved analytically. The influence of
the problem parameters on the diffraction phenomenon is displayed graphically.

Anahtar Kelimeler

Ring Source, Diffraction, Saddle Point, Pipe

A Note on Ring Source over Semi-Infinite Rigid Pipe

Öz

In
this paper, rigid-lined infinite tube is considered. An analytical solution is
presented for the diffraction problem of acoustic waves spreading from a ring
source by an infinite tube. Applying the boundary and continuity conditions in
conjunction with the Fourier transform technique, the boundary value problem is
solved analytically. The influence of the problem parameters on the diffraction
phenomenon is displayed graphically.

Anahtar Kelimeler

Ring Source, Diffraction, Saddle Point, Pipe

Kaynakça

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• Demir, A. (2017). Scattering matrices in non-uniformly lined ducts. Zeitschrift für angewandte Mathematik und Physik, 68, 1-15.
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• Tiryakioglu, B., and Demir, A. (2015). Wiener-Hopf Analysis of Sound Waves by a Rigid Cylindrical Pipe with External Impedance Surface. International Journal of Mathematical Models and Methods in Applied Sciences, 9, 558-565, 2015.