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The effect of semi perforated duct on ring sourced acoustic diffraction

Yıl 2021, Cilt 70, Sayı 2, 1073 - 1084, 31.12.2021
https://doi.org/10.31801/cfsuasmas.699831

Öz

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.

Kaynakça

  • 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.

Yıl 2021, Cilt 70, Sayı 2, 1073 - 1084, 31.12.2021
https://doi.org/10.31801/cfsuasmas.699831

Öz

Kaynakça

  • 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.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik, Uygulamalı
Bölüm Research Article
Yazarlar

Burhan TİRYAKİOĞLU (Sorumlu Yazar)
Marmara University
0000-0003-1448-6147
Türkiye

Yayımlanma Tarihi 31 Aralık 2021
Başvuru Tarihi 6 Mart 2020
Kabul Tarihi 8 Temmuz 2021
Yayınlandığı Sayı Yıl 2021, Cilt 70, Sayı 2

Kaynak Göster

Bibtex @araştırma makalesi { cfsuasmas699831, journal = {Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics}, issn = {1303-5991}, eissn = {2618-6470}, address = {Communications Dergi Editörlüğü Ankara Universitesi Fen Fakültesi 06100 Tandoğan ANKARA}, publisher = {Ankara Üniversitesi}, year = {2021}, volume = {70}, pages = {1073 - 1084}, doi = {10.31801/cfsuasmas.699831}, title = {The effect of semi perforated duct on ring sourced acoustic diffraction}, key = {cite}, author = {Tiryakioğlu, Burhan} }
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 . DOI: 10.31801/cfsuasmas.699831
MLA Tiryakioğlu, B. "The effect of semi perforated duct on ring sourced acoustic diffraction" . Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70 (2021 ): 1073-1084 <https://dergipark.org.tr/tr/pub/cfsuasmas/issue/62873/699831>
Chicago Tiryakioğlu, B. "The effect of semi perforated duct on ring sourced acoustic diffraction". Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70 (2021 ): 1073-1084
RIS TY - JOUR T1 - The effect of semi perforated duct on ring sourced acoustic diffraction AU - Burhan Tiryakioğlu Y1 - 2021 PY - 2021 N1 - doi: 10.31801/cfsuasmas.699831 DO - 10.31801/cfsuasmas.699831 T2 - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics JF - Journal JO - JOR SP - 1073 EP - 1084 VL - 70 IS - 2 SN - 1303-5991-2618-6470 M3 - doi: 10.31801/cfsuasmas.699831 UR - https://doi.org/10.31801/cfsuasmas.699831 Y2 - 2021 ER -
EndNote %0 Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics The effect of semi perforated duct on ring sourced acoustic diffraction %A Burhan Tiryakioğlu %T The effect of semi perforated duct on ring sourced acoustic diffraction %D 2021 %J Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics %P 1303-5991-2618-6470 %V 70 %N 2 %R doi: 10.31801/cfsuasmas.699831 %U 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 (Aralık 2021): 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.. 2021; 70(2): 1073-1084.
Vancouver Tiryakioğlu B. The effect of semi perforated duct on ring sourced acoustic diffraction. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics. 2021; 70(2): 1073-1084.
IEEE B. Tiryakioğlu , "The effect of semi perforated duct on ring sourced acoustic diffraction", Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 70, sayı. 2, ss. 1073-1084, Ara. 2021, doi:10.31801/cfsuasmas.699831

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

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