Research Article
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Year 2021, Volume: 70 Issue: 2, 1073 - 1084, 31.12.2021

Burhan Tiryakioğlu

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

Abstract

References

  • Levine, H., Schwinger J., On the radiation of sound from an unflanged circular pipe, Physical Review, 73 (1948), 383-406. https://doi.org/10.1103/PhysRev.73.383
  • Noble, B., Methods Based on the Wiener-Hopf Techniques, Pergamon Press, London, 1958.
  • Rawlins, A.D., Radiation of sound from an unflanged rigid cylindrical duct with an acoustically absorbing internal surface, Proc. Roy. Soc. Lond. A. 361 (1978), 65-91. https://doi.org/10.1098/rspa.1978.0092
  • Buyukaksoy, A., Polat, B., Diffraction of acoustic waves by a semi-infinite cylindrical impedance pipe of certain wall thickness, Journal of Engineering Mathematics, 33 (1998), 333-352. https://doi.org/10.1023/A:1004301829276
  • Tiryakioglu, B., Diffraction of sound waves by a lined cylindrical cavity, International Journal of Aeroacoustics, 19(1-2) (2020), 38-56. https://doi.org/10.1177/1475472X20905043
  • Nilsson, B., Brander, O., The propagation of sound in cylindrical ducts with mean flow and Bulk-reacting lining I. modes in an infinite duct, J. Inst. Maths. Applics, 26 (1980), 269-298. https://doi.org/10.1093/imamat/26.3.269
  • Yang, C., Cheng, L., Hu, Z., Reducing interior noise in a cylinder using micro-perforated panels, Applied Acoustics, 95 (2015), 50-56. https://doi.org/10.1016/j.apacoust.2015.02.003
  • Wang, J., Rubini, P., Qin, Q., Application of a porous media model for the acoustic damping of perforated plate absorbers, Applied Acoustics, 127 (2017), 324-335. https://doi.org/10.1016/j.apacoust.2017.07.003
  • Tiryakioglu, B., Radiation of acoustic waves by a partially lined pipe with an interior perforated screen, Journal of Engineering Mathematics, 122(1) (2020), 17-29. https://doi.org/10.1007/s10665-020-10042-x
  • Tiryakioglu, B., Radiation of sound by a coaxial waveguide with semi-infinite perforated duct, Waves in Random and Complex Media. https://doi.org/10.1080/17455030.2020.1782511
  • Tiryakioglu, B., Analysis of Sound Waves with Semi Perforated Pipe, 7th International Symposium on Innovative Technologies in Engineering and Science, Sanliurfa, Turkey, (2019), 704-710.
  • Tiryakioglu, B., A Note on Ring Source over Semi-Infinite Rigid Pipe, International Journal of Advances in Engineering and Pure Sciences, 31(2) (2019), 133-139. https://doi.org/10.7240/jeps.488305
  • Rienstra, S. W., Peake. N., Modal Scattering at an Impedance Transition in a Lined Flow Duct, 11th AIAA/CEAS Aeroacoustics Conference, Monterey, CA, USA, (2005) 1-19.
  • Sullivan, J. W., Crocker, M. J., Analysis of concentric-tube resonators having unpartitioned cavities, Journal of the Acoustical Society of America, 64 (1978), 207-215. https://doi.org/10.1121/1.381963
  • Demir, A., Rienstra, S. W., Sound Radiation from a Lined Exhaust Duct with Lined Afterbody, 16th AIAA/CEAS Aeroacoustics Conference, Stockholm, Sweden, (2010) 1-18.
  • Polat, B., Diffraction of Acoustic Waves by a Cylindrical Impedance Rod of Finite Length, Journal of Applied Mathematics and Mechanics, 79 (1999), 555-567. https://doi.org/10.1002/(SICI)1521-4001(199908)79:8¡555::AID-ZAMM555>3.0.CO;2-#
  • Mittra, R., Lee, S. W., Analytical techniques in the theory of guided waves, The Macmillan Company, 1971.

The effect of semi perforated duct on ring sourced acoustic diffraction

Year 2021, Volume: 70 Issue: 2, 1073 - 1084, 31.12.2021

Burhan Tiryakioğlu

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

Abstract

An analytical solution is obtained for the diffraction problem. In an infinite cylindrical duct, the sound waves are emanating by a ring source. The duct is rigid for z < l and perforated for z > l. The mixed boundary value problem is defined by a Wiener Hopf equation, by using the Fourier transform technique. Then the numerical solution is obtained. The influence of the parameters of the problem on the diffraction phenomenon is displayed graphically. The present study can be used as a model for different applications. Reducing noise in exhaust systems, ventilation systems are some of these applications.

Keywords

Wiener Hopf ring source perforated duct saddle point

References

  • Levine, H., Schwinger J., On the radiation of sound from an unflanged circular pipe, Physical Review, 73 (1948), 383-406. https://doi.org/10.1103/PhysRev.73.383
  • Noble, B., Methods Based on the Wiener-Hopf Techniques, Pergamon Press, London, 1958.
  • Rawlins, A.D., Radiation of sound from an unflanged rigid cylindrical duct with an acoustically absorbing internal surface, Proc. Roy. Soc. Lond. A. 361 (1978), 65-91. https://doi.org/10.1098/rspa.1978.0092
  • Buyukaksoy, A., Polat, B., Diffraction of acoustic waves by a semi-infinite cylindrical impedance pipe of certain wall thickness, Journal of Engineering Mathematics, 33 (1998), 333-352. https://doi.org/10.1023/A:1004301829276
  • Tiryakioglu, B., Diffraction of sound waves by a lined cylindrical cavity, International Journal of Aeroacoustics, 19(1-2) (2020), 38-56. https://doi.org/10.1177/1475472X20905043
  • Nilsson, B., Brander, O., The propagation of sound in cylindrical ducts with mean flow and Bulk-reacting lining I. modes in an infinite duct, J. Inst. Maths. Applics, 26 (1980), 269-298. https://doi.org/10.1093/imamat/26.3.269
  • Yang, C., Cheng, L., Hu, Z., Reducing interior noise in a cylinder using micro-perforated panels, Applied Acoustics, 95 (2015), 50-56. https://doi.org/10.1016/j.apacoust.2015.02.003
  • Wang, J., Rubini, P., Qin, Q., Application of a porous media model for the acoustic damping of perforated plate absorbers, Applied Acoustics, 127 (2017), 324-335. https://doi.org/10.1016/j.apacoust.2017.07.003
  • Tiryakioglu, B., Radiation of acoustic waves by a partially lined pipe with an interior perforated screen, Journal of Engineering Mathematics, 122(1) (2020), 17-29. https://doi.org/10.1007/s10665-020-10042-x
  • Tiryakioglu, B., Radiation of sound by a coaxial waveguide with semi-infinite perforated duct, Waves in Random and Complex Media. https://doi.org/10.1080/17455030.2020.1782511
  • Tiryakioglu, B., Analysis of Sound Waves with Semi Perforated Pipe, 7th International Symposium on Innovative Technologies in Engineering and Science, Sanliurfa, Turkey, (2019), 704-710.
  • Tiryakioglu, B., A Note on Ring Source over Semi-Infinite Rigid Pipe, International Journal of Advances in Engineering and Pure Sciences, 31(2) (2019), 133-139. https://doi.org/10.7240/jeps.488305
  • Rienstra, S. W., Peake. N., Modal Scattering at an Impedance Transition in a Lined Flow Duct, 11th AIAA/CEAS Aeroacoustics Conference, Monterey, CA, USA, (2005) 1-19.
  • Sullivan, J. W., Crocker, M. J., Analysis of concentric-tube resonators having unpartitioned cavities, Journal of the Acoustical Society of America, 64 (1978), 207-215. https://doi.org/10.1121/1.381963
  • Demir, A., Rienstra, S. W., Sound Radiation from a Lined Exhaust Duct with Lined Afterbody, 16th AIAA/CEAS Aeroacoustics Conference, Stockholm, Sweden, (2010) 1-18.
  • Polat, B., Diffraction of Acoustic Waves by a Cylindrical Impedance Rod of Finite Length, Journal of Applied Mathematics and Mechanics, 79 (1999), 555-567. https://doi.org/10.1002/(SICI)1521-4001(199908)79:8¡555::AID-ZAMM555>3.0.CO;2-#
  • Mittra, R., Lee, S. W., Analytical techniques in the theory of guided waves, The Macmillan Company, 1971.
There are 17 citations in total.

Details

Primary Language English
Subjects Applied Mathematics
Journal Section Research Articles
Authors

Burhan Tiryakioğlu 0000-0003-1448-6147

Publication Date December 31, 2021
Submission Date March 6, 2020
Acceptance Date July 8, 2021
Published in Issue Year 2021 Volume: 70 Issue: 2

Cite

APA Tiryakioğlu, B. (2021). The effect of semi perforated duct on ring sourced acoustic diffraction. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 70(2), 1073-1084. https://doi.org/10.31801/cfsuasmas.699831
AMA Tiryakioğlu B. The effect of semi perforated duct on ring sourced acoustic diffraction. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. December 2021;70(2):1073-1084. doi:10.31801/cfsuasmas.699831
Chicago Tiryakioğlu, Burhan. “The Effect of Semi Perforated Duct on Ring Sourced Acoustic Diffraction”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70, no. 2 (December 2021): 1073-84. https://doi.org/10.31801/cfsuasmas.699831.
EndNote Tiryakioğlu B (December 1, 2021) The effect of semi perforated duct on ring sourced acoustic diffraction. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70 2 1073–1084.
IEEE B. Tiryakioğlu, “The effect of semi perforated duct on ring sourced acoustic diffraction”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 70, no. 2, pp. 1073–1084, 2021, doi: 10.31801/cfsuasmas.699831.
ISNAD Tiryakioğlu, Burhan. “The Effect of Semi Perforated Duct on Ring Sourced Acoustic Diffraction”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70/2 (December 2021), 1073-1084. https://doi.org/10.31801/cfsuasmas.699831.
JAMA Tiryakioğlu B. The effect of semi perforated duct on ring sourced acoustic diffraction. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021;70:1073–1084.
MLA Tiryakioğlu, Burhan. “The Effect of Semi Perforated Duct on Ring Sourced Acoustic Diffraction”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 70, no. 2, 2021, pp. 1073-84, doi:10.31801/cfsuasmas.699831.
Vancouver Tiryakioğlu B. The effect of semi perforated duct on ring sourced acoustic diffraction. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021;70(2):1073-84.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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