Archives of Acoustics, 47, 2, pp. 223-240, 2022

Evaluation of the Acoustic Performance of Porous Materials Lined Ducts with Geometric Discontinuities

University of Sfax

University of Sfax

(1) University of Sfax (2) Faculty of Sciences of Sfax

Mohamed TAKTAK
(1) University of Sfax (2) Faculty of Sciences of Sfax

Faculty of Sciences of Sfax

Mohamed HADDAR
University of Sfax

Duct silencers provide effective noise reduction for heating, ventilation and air conditioning systems. These silencers can achieve an excellent sound attenuation through the attributes of their design. The reactive silencer works on the principle of high reflection of sound waves at low frequencies. On the other hand, the dissipative silencer works on the principle of sound absorption, which is very effective at high-frequencies. Combining these two kinds of silencers allowed covering the whole frequency range. In this paper, the effect of liner characteristics composed of a perforated plate backed by a porous material and geometry discontinuities on the acoustic power attenuation of lined ducts is evaluated. This objective is achieved by using a numerical model to compute the multimodal scattering matrix, thus allowing deducing the acoustic power attenuation. The numerical results are obtained for six configurations, including cases of narrowing and widening of a radius duct with sudden or progressive discontinuities. Numerical acoustic power attenuation shows the relative influence of the variation in the values of each parameter of the liner, and of each type of radius discontinuities of ducts.
Keywords: geometric discontinuities in duct systems; acoustic impedance; porous materials; perforated plate; acoustic power attenuation.
Full Text: PDF


Åbom M.A. (1991), Measurement of the scattering matrix of acoustical two-ports, Mechanical Systems Signal Processing, 5: 89–104, doi: 10.1016/0888-3270(91)90017-Y.

Akoum M., Ville J.M. (1998), Measurement of reflection matrix of a discontinuity in a duct, The Journal of the Acoustical Society of America, 103(5): 2463–2468, doi: 10.1121/1.422766.

Amir N., Pagneux V., Kergomard J.A. (1996), A study of wave propagation in varying cross-section waveguides by modal decomposition. Part I. Theory and validation, The Journal of the Acoustical Society of America, 100(4): 2034–2048, doi: 10.1121/1.417913.

Aurégan Y., Starobinski R. (1999), Determination of acoustical energy attenuation/production potentiality from the acoustical transfer functions of a multiport, Acta Acustica united with Acustica, 85: 788–792.

Allard J.F., Attalla N. (1993), Propagation of sound in porous media: Modeling sound absorbing materials, Elsevier Applied Science, London 1993, 105–115.

Benjedidia 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, doi: 10.1016/j.apacoust.2014.03.004.

Ben Souf M.A., Kessentini A., Bareille O., Taktak M., Ichchou M.N., Haddar M. (2017), Acoustical scattering identification with local impedance through a spectral approach, Comptes Rendus Mécanique, 345(5): 301–316, doi: 10.1016/j.crme.2017.03.006.

Bi W.P., Pagneux V., Lafarge D., Aurégan Y. (2006), Modelling of sound propagation in non-uniform lined duct using a Multi-Modal Propagation Method, Journal of Sound and Vibration, 289(4–5): 1091–1111, doi: 10.1016/j.jsv.2005.03.021.

Craggs A. (1989), The application of the scattering matrix and matrix condensation methods with finite elements to ducts acoustics, Journal of Sound and Vibration, 132(3): 393–402, doi: 10.1016/0022-


Dhief R., Makni A., Taktak M., Chaabane M., Haddar M. (2020), Investigation on the effects of acoustic liner variation and geometry discontinuities on the acoustic performance of lined ducts, Archives of Acoustics, 45(1): 49–66, doi: 10.24425/AOA.2020.132481.

Elnady T. (2004), Modelling and characterization of perforates in lined ducts and mufflers (Paper III), Doctoral Thesis, The Royal Institute of Technology (KTH), Stockholm, Sweden.

Kergomard J., Garcia A. (1987), Simple discontinuities in acoustic waveguides at low frequencies: critical analysis and formulae, Journal of Sound and Vibration, 114(3): 465–479, doi: 10.1016/S0022-460X(87)80017-2.

Kessentini A., Taktak M., Ben Souf M.A., Bareille O., Ichchou M.N., Haddar M. (2016), Computation of the scattering matrix of guided acoustical propagation by the Wave Finite Elements approach, Applied Acoustics, 108: 92–100, doi: 10.1016/j.apacoust.2015.09.004.

Lafarge D., Lemarinier P., Allard J.F., Tarnow V. (1997), Dynamic compressibility of air in porous structures at audible frequencies, The Journal of Acoustical Society of America, 102(4): 1995–2006, doi: 10.1121/1.419690.

Lee I., Selamet A. (2006), Impact of perforation impedance on the transmission loss of reactive and dissipative silencers, The Journal of Acoustical Society of America, 120(6): 3706–3713, doi: 10.1121/1.2359703.

Leroux M., Job S., Aurégan Y., Pagneux V. (2003), Acoustical propagation in lined duct with flow. Numerical simulations and measurements, [in:] 10th International congress on Sound and Vibration, Stockholm, Sweden, pp. 3255–3262.

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, doi: 10.15632/jtam-pl.55.2.679.

Miles J.W. (1946), The analysis of plane discontinuities in cylindrical tubes, Part I, The Journal of the Acoustical Society of America, 17(3): 259–271, doi: 10.1121/1.1916327.

Mereze P.H., Becker R.P., Lenzi A., Pellegrini C. (2012), Rigid-Frame Porous Material Acoustic Attenuation on Compressor Discharge, [in:] International Compressor Engineering Conference, Paper 2095.

Munjal M.L. (2014), Acoustics of Ducts and Mufflers, 2nd ed., John Wiley & Sons Ltd.: Chichester, UK, ISBN 978-1-118-44312-5.

Othmani C., Hentati T., Taktak M., Tamer E., Fakhfakh T., Haddar M. (2015), Effect of liner characteristics on the performance of duct systems, Archives of Acoustics, 40(1): 117–127, doi: 10.1515/


Peat K.S. (1988a), The acoustical impedance at discontinuities of ducts in the presence of a mean flow, Journal of Sound and Vibration, 127(1): 123–132, doi: 10.1016/0022-460X(88)90353-7.

Peat K.S. (1988b), The transfer matrix of a uniform duct with a linear temperature gradient, Journal of Sound and Vibration, 123(1): 43–53, doi: 10.1016/S0022-460X(88)80076-2.

Selamet A., Xu M.B., Lee I.-J., Huff N.T. (2004), Analytical approach for sound attenuation in perforated dissipative silencers, The Journal of the Acoustical Society of America, 115(5): 2091–2099, doi: 10.1121/1.1694994.

Sagartzazu X., Hervella-Nieto L., Pagalday J.M. (2008), Review in sound absorbing materials, Archives of Computational Methods in Engineering, 15: 311–342.

Sitel A., Ville J.M., Foucart F. (2003), An experimental facility for measurement of acoustic transmission matrix and acoustic power dissipation of a duct discontinuity at higher modes propagation conditions, Acta Acustica united with Acustica, 89(4): 586–594.

Sitel A., Ville J.M., Foucart F. (2006), Multimodal procedure to measure the acoustic scattering matrix of a duct discontinuity for higher order mode propagation conditions, The Journal of the Acoustical Society of America, 120(5): 2478–2490, doi: 10.1121/1.2354040.

Taktak M., Ville J.M., Haddar M., Foucart F. (2008), Evaluation of a lined duct performance based on a 3D two port scattering matrix, The Journal of the Acoustical Society of America, 123(5): 3926–3926, doi: 10.1121/1.2935966.

Taktak M., Ville J.M., Haddar M., Gabard G., Foucart F. (2010), An indirect method for the characterization of locally reacting liners, The Journal of Acoustical Society of America, 127(6): 3548–3559, doi: 10.1121/1.3365250.

Taktak M., Majdoub M.A., Bentahar M., Haddar M. (2012), Numerical modelling of the acoustic pressure inside an axisymmetric lined flow duct, Archives of Acoustics, 37(2): 151–160, doi: 10.2478/


Tiryakioglu B. (2020), Radiation of sound waves by a semi-infinite duct with outer lining and perforated end, Archives of Acoustics, 45(1): 77–84, doi: 10.24425/aoa.2020.132483.

Wang J., Rubini P., Qin Q. (2017), Application of a porous media model for the acoustic damping of perforated plate absorbers, Applied Acoustics, 127(1): 324–335, doi: 10.1016/j.apacoust.2017.07.003.

DOI: 10.24425/aoa.2022.141652

Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN)