Research Article

A Note on Ring Source over Semi-Infinite Rigid Pipe

Volume: 31 Number: 2 June 30, 2019
EN TR

A Note on Ring Source over Semi-Infinite Rigid Pipe

Abstract

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.

Keywords

References

  1. Büyükaksoy, A., and Demir, A. (2006). Radiation of sound from a semi‐infinite rigid duct inserted axially into a larger infinite tube with wall impedance discontinuity. ZAMM - Journal of Applied Mathematics and Mechanics, 86, 563-571.
  2. Demir, A. (2017). Scattering matrices in non-uniformly lined ducts. Zeitschrift für angewandte Mathematik und Physik, 68, 1-15.
  3. Nilsson, B., and Brander, O. (1980). The Propagation of Sound in Cylindrical Ducts with Mean Flow and Bulk-reacting Lining I. Modes in an Infinite Duct, IMA Journal of Applied Mathematics, 26, 269–298.
  4. Rienstra, S. W. (1999). Sound transmission in slowly varying circular and annular ducts with flow, Journal of Fluid Mechanics, 380, 279-296.
  5. Hassan, M., and Rawlins A. D. (1999). Sound radiation in a planar trifurcated lined duct. Wave Motion, 29, 157–174.
  6. Tiryakioglu, B., and Demir, A. (2018). Radiation analysis of sound waves from semi-infinite coated pipe. International Journal of Aeroacoustics, https://doi.org/10.1177/1475472X18812802.
  7. Büyükaksoy, A. and Polat, B. (1998). Diffraction of acoustic waves by a semi-infinite cylindrical impedance pipe of certain wall thickness. Journal of Engineering Mathematics, 33,333-352.
  8. 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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

June 30, 2019

Submission Date

November 27, 2018

Acceptance Date

March 18, 2019

Published in Issue

Year 2019 Volume: 31 Number: 2

APA
Tiryakioğlu, B. (2019). A Note on Ring Source over Semi-Infinite Rigid Pipe. International Journal of Advances in Engineering and Pure Sciences, 31(2), 133-139. https://doi.org/10.7240/jeps.488305
AMA
1.Tiryakioğlu B. A Note on Ring Source over Semi-Infinite Rigid Pipe. JEPS. 2019;31(2):133-139. doi:10.7240/jeps.488305
Chicago
Tiryakioğlu, Burhan. 2019. “A Note on Ring Source over Semi-Infinite Rigid Pipe”. International Journal of Advances in Engineering and Pure Sciences 31 (2): 133-39. https://doi.org/10.7240/jeps.488305.
EndNote
Tiryakioğlu B (June 1, 2019) A Note on Ring Source over Semi-Infinite Rigid Pipe. International Journal of Advances in Engineering and Pure Sciences 31 2 133–139.
IEEE
[1]B. Tiryakioğlu, “A Note on Ring Source over Semi-Infinite Rigid Pipe”, JEPS, vol. 31, no. 2, pp. 133–139, June 2019, doi: 10.7240/jeps.488305.
ISNAD
Tiryakioğlu, Burhan. “A Note on Ring Source over Semi-Infinite Rigid Pipe”. International Journal of Advances in Engineering and Pure Sciences 31/2 (June 1, 2019): 133-139. https://doi.org/10.7240/jeps.488305.
JAMA
1.Tiryakioğlu B. A Note on Ring Source over Semi-Infinite Rigid Pipe. JEPS. 2019;31:133–139.
MLA
Tiryakioğlu, Burhan. “A Note on Ring Source over Semi-Infinite Rigid Pipe”. International Journal of Advances in Engineering and Pure Sciences, vol. 31, no. 2, June 2019, pp. 133-9, doi:10.7240/jeps.488305.
Vancouver
1.Burhan Tiryakioğlu. A Note on Ring Source over Semi-Infinite Rigid Pipe. JEPS. 2019 Jun. 1;31(2):133-9. doi:10.7240/jeps.488305

Cited By

The effect of semi perforated duct on ring sourced acoustic diffraction

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics

https://doi.org/10.31801/cfsuasmas.699831