Investigation on the Effects of Acoustic Liner Variation and Geometry Discontinuities on the Acoustic Performance of Lined Ducts
Abstract
Noise reduction inside waveguide systems has gained momentum owing to a great interest in it. To attenuate the sound in a broad frequency range, this study aims to compare the effects of two acoustic liners, a perforated plate backed by an air cavity (PP-Air cavity), or by a porous material (PP-PM), on the acoustic behaviour of lined ducts using a numerical model to compute the multimodal scattering matrix. From this matrix, the reflection and the transmission coefficients are computed and therefore the acoustic power attenuation is deduced. Moreover, the effects of geometry of ducts with and without changes in the section are investigated. The numerical results are obtained for five configurations, including cases of narrowing and widening of a duct portion with sudden or progressive discontinuities. Accordingly, numerical coefficients of reflection and transmission as well as the acoustic power attenuation show the relative influence of acoustic liners in each type of configuration.Keywords:
absorbent systems effect, discontinuities effect, scattering matrix, acoustic power attenuationReferences
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28. Sitel A., Ville J.M., Foucart F. (2003), An experimental facility for measurement of acoustic transmission matrix and acoustic power dissipation of duct discontinuity in higher order modes propagation conditions, Acta Acustica United with Acustica, 89: 586–594.
29. Sitel A., Ville J.M., Foucart F. (2006), Multiload procedure to measure the acoustic scattering matrix of a duct discontinuity for higher order mode propagation conditions, Journal of the Acoustical Society of America, 120(5): 2478–2490, https://doi.org/10.1121/1.2354040
30. Taktak M., Majdoub M., Ben Tahar M., Haddar M. (2013), Numerical characterization of an axisymmetric lined duct with flow using multimodal scattering matrix, Journal of Theoretical and Applied Mechanics, 51(2): 313–325.
31. Taktak M., Majdoub M.A., Ben Tahar M., Haddar M. (2012), Numerical modelling of the sound propagation in axisymmetric lined flow duct, Archives of Acoustics, 37(1): 151–160.
32. Taktak M., Ville J.M., Haddar M., Foucart F. (2008), Evaluation of a lined duct performance based on a 3D two ports scattering matrix, Proceedings of Meetings in Acoustics, 4(1), https://doi.org/10.1121/1.2975221
33. Taktak M., Ville J.M., Haddar M., Gabard G., Foucart F. (2010), An indirect method for the characterization of locally reacting liners, Journal of the Acoustical Society of America, 127(6): 3548–3559, https://doi.org/10.1121/1.3365250
34. Ville J.M. (2014), Experimental methods in duct acoustics for higher order modes propagation conditions, Proceedings of Forum Acousticum, Krakow.
35. Watson W.R., Jones M.G. (2013), A Comparative study of four impedance eduction methodologies using several test liners, 19th AIAA/CEAS Aeroacoustics Conference, AIAA-2274, Berlin, Germany, https://doi.org/10.2514/6.2013-2274
2. Allard J.F. (1993), Propagation of sound in porous media: Modeling sound absorbing materials Elsevier Applied Science, London 1993, pp. 105–115.
3. Auger J.M., Ville J.M. (1986), Flow effects on measurement of the modal decomposition of acoustic field in a hard wall cylindrical duct, [In:] Comte-Bellot G., Williams J.E.F. (Eds), Aero- and Hydro-Acoustics. IUTAM Symposia (International Union of Theoretical and Applied Mechanics, pp. 437–444, Springer-Verlag, Berlin, Heidelberg, https://doi.org/10.1007/978-3-642-82758-7_41
4. Aurégan Y., Leroux M., Pagneux V. (2004), Measurement of liner impedance with flow by an inverse method, 10th AIAA/CEAS Aeroacoustics Conference, Manchester, https://doi.org/10.2514/6.2004-2838
5. Ben Jdidia M., Akrout A., Taktak M., Hammami L., Haddar M. (2014), Thermal effect on the acoustic behavior of an axisymmetric lined duct, Applied Acoustics, 86: 138–145, 10.1016/j.apacoust.2014.03.004.
6. Bodén H., Kabral R. (2015), The effect of high temperatures and grazing flow on the acoustic properties of liners, Proceedings of Euronoise 2015, C. Glorieux (Ed.), Maastricht, June 1–3, 2015, pp. 2261–2266.
7. Busse-Gerstengarbe S. et al. (2012), Impedance eduction based on microphone measurements of liners under grazing flow conditions, AIAA Journal, 50(4): 867–879, https://doi.org/10.2514/1.J051232
8. Busse-Gerstengarbe S., Bake F., Enghardt L., Jones M.G. (2013), Comparative study of impedance eduction methods, Part 1: NASA tests and methodologies, AIAA-2124, 19th AIAA/CEAS Aeroacoustics Conference, Berlin, Germany, https://doi.org/10.2514/6.2013-2124
9. Demir A. (2016), Sound transmission in a duct with sudden area expansion, extended inlet and lined walls in overlapping region, Advances in Acoustic and Vibration, 2016, Article ID 9485163, 8 pages, https://doi.org/10.1155/2016/9485163
10. Demir A. (2017), Scattering matrices in non-uniformly lined ducts, Zeitschrift für angewandte Mathematik und Physik, 68(1): 8, https://doi.org/10.1007/s00033-016-0754-8
11. Dhatt G., Touzot G. (1989), Presentation of the finite element method, Maloine S.A. Editeur, Paris.
12. El-Masri S. (2004), Analysis of discontinuities in rectangular ducts and higher order mode excitations using TLM and FEM methods, Journal of Numerical Modelling, Electronic Networks, Devices and Fields, 17: 353–364, https://doi.org/10.1002/jnm.532
13. Elnady T. (2004), Modelling and characterization of perforates in lined ducts and mufflers, Ph.D. Thesis, The Royal Institute of Technology (KTH), Stockholm, Sweden.
14. Elnady T., Åbom M., Allam S. (2010), Modeling perforated tubes in mufflers using two-ports, ASME Journal of Vibration and Acoustics, 132(6): 061010, https://doi.org/10.1115/1.4001510
15. Elnady T., Boden H. (2003), On semi-empirical liner impedance modeling with grazing flow, Proceedings of 9th AIAA/CEAS Aeroacoustics Conference and Exhibit, pp. 1815–1825, May 12–14, 2003, Hilton Head, South Carolina, https://doi.org/10.2514/6.2003-3304
16. Elnady T., Elsaadany S., Åbom M. (2009), Investigation into Modeling of Multi-Perforated, Mufflers, 16th International Congress on Sound and Vibration, Krakow, Poland, July 6–9.
17. Jones M.G., Watson W.R. (2011), On the use of experimental methods to improve confidence in educed impedance, 17th AIAA/CEAS Aeroacoustics Conference (32nd AIAA Aeroacoustics Conference), No. AIAA 2011-2865, Portland, Oregon, https://doi.org/10.2514/6.2011-2865
18. Jones M.G., Watson W.R., Howerton B.M., Busse-Gerstengarbe S. (2013), Comparative study of impedance eduction methods, Part 2: DLR tests and methodologies, 19th AIAA/CEAS Aeroacoustics Conference, AIAA-2125, Berlin Germany, https://doi.org/10.2514/6.2013-2125
19. Kabral R., Bodén H., Elnady T. (2014), Determination of liner impedance under high temperature and grazing flow conditions, 20th AIAA/CEAS Aeroacoustics Conference, AIAA-2956, Atlanta, GA, USA, https://doi.org/10.2514/6.2014-2956
20. Lafarge D., Lemarinier P., Allard J.F., Tarnow V. (1997), Dynamic compressibility of air in porous structures at audible frequencies, Journal of Acoustical Society of America, 102(4): 1995–2006, https://doi.org/10.1121/1.419690
21. Lee I. L., Selamet A., Huff N. T. (2006), Acoustic impedance of perforations in contact with fibrous material, Journal of Acoustical Society of America, 119(5): 2785–2797, https://doi.org/10.1121/1.2188354
22. Masmoudi A., Makni A., Taktak M., Haddar M. (2017), Effect of geometry and impedance variation on the acoustic performance of a porous material lined duct, Journal of Theoretical and Applied Mechanics, 55(2): 679–694, https://doi.org/10.15632/jtam-pl.55.2.xxx
23. Miles J. (1946a), The analysis of plane discontinuity in cylindrical tubes, Part I, Journal of the Acoustical Society of America, 17(3): 259–271, https://doi.org/10.1121/1.1916327
24. Miles J. (1946b), The analysis of plane discontinuity in cylindrical tubes, Part II, Journal of the Acoustical Society of America, 17(3): 272–284, https://doi.org/10.1121/1.1916328
25. Muehleisen R.T. (1996), Reflection, radiation, and coupling of higher order modes at discontinuities in finite length rigid walled rectangular ducts, Ph.D. Thesis, Pennsylvania State University, USA.
26. Othmani C., Hentati T., Taktak M., Elnady T., Fakhfakh T., Haddar M. (2015), Effect of liner characteristics on the performance of duct systems, Archives of Acoustics, 40(1): 117–127, https://doi.org/10.1515/aoa-2015-0014
27. Sagartzazu X., Hervella-Nieto L., Pagalday J.M (2008), Review in sound absorbing materials, Archives of Computational Methods in Engineering, 15(3): 311–342, https://doi.org/10.1007/s11831-008-9022-1
28. Sitel A., Ville J.M., Foucart F. (2003), An experimental facility for measurement of acoustic transmission matrix and acoustic power dissipation of duct discontinuity in higher order modes propagation conditions, Acta Acustica United with Acustica, 89: 586–594.
29. Sitel A., Ville J.M., Foucart F. (2006), Multiload procedure to measure the acoustic scattering matrix of a duct discontinuity for higher order mode propagation conditions, Journal of the Acoustical Society of America, 120(5): 2478–2490, https://doi.org/10.1121/1.2354040
30. Taktak M., Majdoub M., Ben Tahar M., Haddar M. (2013), Numerical characterization of an axisymmetric lined duct with flow using multimodal scattering matrix, Journal of Theoretical and Applied Mechanics, 51(2): 313–325.
31. Taktak M., Majdoub M.A., Ben Tahar M., Haddar M. (2012), Numerical modelling of the sound propagation in axisymmetric lined flow duct, Archives of Acoustics, 37(1): 151–160.
32. Taktak M., Ville J.M., Haddar M., Foucart F. (2008), Evaluation of a lined duct performance based on a 3D two ports scattering matrix, Proceedings of Meetings in Acoustics, 4(1), https://doi.org/10.1121/1.2975221
33. Taktak M., Ville J.M., Haddar M., Gabard G., Foucart F. (2010), An indirect method for the characterization of locally reacting liners, Journal of the Acoustical Society of America, 127(6): 3548–3559, https://doi.org/10.1121/1.3365250
34. Ville J.M. (2014), Experimental methods in duct acoustics for higher order modes propagation conditions, Proceedings of Forum Acousticum, Krakow.
35. Watson W.R., Jones M.G. (2013), A Comparative study of four impedance eduction methodologies using several test liners, 19th AIAA/CEAS Aeroacoustics Conference, AIAA-2274, Berlin, Germany, https://doi.org/10.2514/6.2013-2274
