The effect of semi perforated duct on ring sourced acoustic diffraction

Yıl 2021, Cilt 70, Sayı 2, 1073 - 1084, 31.12.2021

Burhan TİRYAKİOĞLU

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.

Anahtar Kelimeler

Wiener Hopf, ring source, perforated, duct, saddle point

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.