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A Note on Ring Source over Semi-Infinite Rigid Pipe

Year 2019, Volume: 31 Issue: 2, 133 - 139, 30.06.2019
https://doi.org/10.7240/jeps.488305

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.

References

  • 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.
  • Demir, A. (2017). Scattering matrices in non-uniformly lined ducts. Zeitschrift für angewandte Mathematik und Physik, 68, 1-15.
  • 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.
  • Rienstra, S. W. (1999). Sound transmission in slowly varying circular and annular ducts with flow, Journal of Fluid Mechanics, 380, 279-296.
  • Hassan, M., and Rawlins A. D. (1999). Sound radiation in a planar trifurcated lined duct. Wave Motion, 29, 157–174.
  • 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.
  • 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.
  • 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.

A Note on Ring Source over Semi-Infinite Rigid Pipe

Year 2019, Volume: 31 Issue: 2, 133 - 139, 30.06.2019
https://doi.org/10.7240/jeps.488305

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.

References

  • 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.
  • Demir, A. (2017). Scattering matrices in non-uniformly lined ducts. Zeitschrift für angewandte Mathematik und Physik, 68, 1-15.
  • 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.
  • Rienstra, S. W. (1999). Sound transmission in slowly varying circular and annular ducts with flow, Journal of Fluid Mechanics, 380, 279-296.
  • Hassan, M., and Rawlins A. D. (1999). Sound radiation in a planar trifurcated lined duct. Wave Motion, 29, 157–174.
  • 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.
  • 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.
  • 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.
There are 8 citations in total.

Details

Primary Language English
Journal Section Research Articles
Authors

Burhan Tiryakioğlu 0000-0003-1448-6147

Publication Date June 30, 2019
Published in Issue Year 2019 Volume: 31 Issue: 2

Cite

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

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