Comparison of Methods for Determining the Airflow Resistivity of Porous and Covering Materials

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Authors

  • Mykhaylo MELNYK Department of Computer Aided Design Systems, Lviv Polytechnic National University, Ukraine
  • Jarosław RUBACHA Department of Mechanics and Vibroacoustics, Faculty of Mechanical Engineering and Robotics, AGH University of Krakow, Poland
  • Artur FLACH Department of Mechanics and Vibroacoustics, Faculty of Mechanical Engineering and Robotics, AGH University of Krakow, Poland
  • Aleksandra CHOJAK Department of Mechanics and Vibroacoustics, Faculty of Mechanical Engineering and Robotics, AGH University of Krakow, Poland
  • Tadeusz KAMISIŃSKI Department of Mechanics and Vibroacoustics, Faculty of Mechanical Engineering and Robotics, AGH University of Krakow, Poland
  • Wojciech ZABIEROWSKI Department of Microelectronics and Computer Science, Lodz University of Technology, Poland
  • Marek IWANIEC Department of Biocybernetics and Biomedical Engineering, Faculty of Electrical Engineering, Automatics, Computer Science and Biomedical Engineering, AGH University of Krakow, Poland
  • Andryi KERNYTSKYY Department of Computer Aided Design Systems, Lviv Polytechnic National University, Ukraine

Abstract

This article compares two methods for determining the airflow resistivity of porous and coating materials – a key parameter in sound absorption modelling. The analysis involves a modified static airflow measurement procedure in accordance with International Organization for Standardization [ISO] (2018), using a linear approximation algorithm (PLA), and a reverse method consisting of matching the measured absorption coefficient in an impedance tube to the Miki model. The analysis was conducted on both porous materials utilised in acoustic panel fillings and thin coverings. It is evident that both methods yield analogous outcomes for materials exhibiting low resistivity. However, for materials characterised by higher resistivity, discrepancies of up to 50 % were observed. Nevertheless, a high degree of agreement was obtained between the calculated and measured absorption coefficients. For thin coating materials, an air gap of at least 70 mm is required. For materials with a thickness of up to approximately 30 mm, differences in resistivity do not significantly affect the absorption coefficient. It is evident that both methods can be used to determine the airflow resistivity of porous materials and layered structures, supporting the effective selection of materials according to requirements.

Keywords:

airflow resistivity, specific airflow resistance, sound absorption coefficient, impedance tube, porous materials

References


  1. Allard J.F., Atalla N. (2009), Propagation of Sound in Porous Media: Modelling Sound Absorbing Materials, Wiley, https://doi.org/10.1002/9780470747339.

  2. Allard J.-F., Champoux Y. (1992), New empirical equations for sound propagation in rigid frame fibrous materials, The Journal of the Acoustical Society of America, 91(6): 3346–3353, https://doi.org/10.1121/1.402824.

  3. ASTM C522-03 (2022), Standard test method for airflow resistance of acoustical materials, ATM International.

  4. Bonfiglio P., Pompoli F. (2013), Inversion problems for determining physical parameters of porous materials: Overview and comparison between different methods, Acta Acustica United with Acustica, 99(3): 341–351, https://doi.org/10.3813/AAA.918616.

  5. Cao L., Fu Q., Si Y., Ding B., Yu J. (2018), Porous materials for sound absorption, Composites Communications, 10: 25–35, https://doi.org/10.1016/j.coco.2018.05.001.

  6. Cox T., D’Antonio P. (2016), Acoustic Absorbers and Diffusers. Theory, Design and Application, 3rd ed., CRC Press, https://doi.org/10.1201/9781315369211.

  7. Crocker M.J. [Ed.] (2007), Handbook of Noise and Vibration Control, Wiley, https://doi.org/10.1002/9780470209707.

  8. Cuenca J., Göransson P., De Ryck L., Lähivaara T. (2022), Deterministic and statistical methods for the characterisation of poroelastic media from multi-observation sound absorption measurements, Mechanical Systems and Signal Processing, 163: 108186, https://doi.org/10.1016/j.ymssp.2021.108186.

  9. Delany M.E., Bazley E.N. (1970), Acoustical properties of fibrous absorbent materials, Applied Acoustics, 3(2): 105–116, https://doi.org/10.1016/0003-682X(70)90031-9.

  10. Dell A., Krynkin A., Horoshenkov K.V. (2021), The use of the transfer matrix method to predict the effective fluid properties of acoustical systems, Applied Acoustics, 182: 108259, https://doi.org/10.1016/j.apacoust.2021.108259.

  11. Doutres O., Salissou Y., Atalla N., Panneton R. (2010), Evaluation of the acoustic and non-acoustic properties of sound absorbing materials using a three-microphone impedance tube, Applied Acoustics, 71(6): 506–509, https://doi.org/10.1016/j.apacoust.2010.01.007.

  12. Gibson L.J., Ashby M.F. (1997), Cellular Solids: Structure and Properties, 2nd ed., Cambridge University Press, https://doi.org/10.1017/CBO9781139878326.

  13. Herrero-Durá I., Cebrecos Ruíz A., García-Raffi L.M., Romero-García V. (2019), Matrix formulation in acoustics: The transfer matrix method [in Spanish: Formulacion matricial en Acústica: El método de la matriz de transferencia], Modelling in Science Education and Learning, 12(2): 153, https://doi.org/10.4995/msel.2019.12148.

  14. Hou X., Du S., Liu Z., Guo J., Li Z. (2017), A transfer matrix approach for structural – Acoustic correspondence analysis of diesel particulate filter, Advances in Mechanical Engineering, 9(9), https://doi.org/10.1177/1687814017722495.

  15. Huang S., Li Y., Zhu J., Tsai D.P. (2023), Sound-absorbing materials, Physical Review Applied, 20(1): 010501, https://doi.org/10.1103/PhysRevApplied.20.010501.

  16. International Organization for Standardization (1996), Acoustics – Determination of sound absorption coefficient and impedance in impedance tubes. Part 1: Method using standing wave ratio (ISO Standard No. 10534-1:1996), https://www.iso.org/standard/18603.html.

  17. International Organization for Standardization (2003), Acoustics – Measurement of sound absorption in a reverberation room (ISO Standard No. 354:2003), https://www.iso.org/standard/34545.html.

  18. International Organization for Standardization (2018), Acoustics – Determination of airflow resistance. Part 1: Static airflow method (ISO Standard No. 9053-1:2018), https://www.iso.org/standard/69869.html.

  19. International Organization for Standardization (2023), Acoustics – Determination of sound absorption coefficient and impedance in impedance tubes. Part 2: Two-microphone technique for normal sound absorption coefficient and normal surface impedance (ISO Standard No. 10534-2:2023, https://www.iso.org/standard/81294.html.

  20. Jeong C.-H. (2020), Flow resistivity estimation from practical absorption coefficients of fibrous absorbers, Applied Acoustics, 158: 107014, https://doi.org/10.1016/j.apacoust.2019.107014.

  21. Johnson D.L., Koplik J., Dashen R. (1987), Theory of dynamic permeability and tortuosity in fluid-saturated porous media, Journal of Fluid Mechanics, 176(1): 379–402, https://doi.org/10.1017/S0022112087000727.

  22. Kamisiński T., Brawata K., Pilch A., Rubacha J., Zastawnik M. (2012), Sound diffusers with fabric covering, Archives of Acoustics, 37(3): 317–322, https://doi.org/10.2478/v10168-012-0040-5.

  23. Komatsu T. (2008), Improvement of the Delany–Bazley and Miki models for fibrous sound-absorbing materials, Acoustical Science and Technology, 29(2): 121–129, https://doi.org/10.1250/ast.29.121.

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

  25. Melnyk M., Rubacha J., Kamisiński T., Majchrzak A. (2018), Application of MEMS sensors for the automation of a laboratory stand for the measurement of the flow resistance of porous materials, [in:] 2018 XIV-th International Conference on Perspective Technologies and Methods in MEMS Design (MEMSTECH), pp. 28–34, https://doi.org/10.1109/MEMSTECH.2018.8365695.

  26. Miki Y. (1990), Acoustical properties of porous materials. Modifications of Delany–Bazley models, Journal of the Acoustical Society of Japan (E), 11(1): 19–24, https://doi.org/10.1250/ast.11.19.

  27. Müller-Giebeler M., Berzborn M., Vorländer M. (2024), Free-field method for inverse characterization of finite porous acoustic materials using feed forward neural networks, The Journal of the Acoustical Society of America, 155(6): 3900–3914, https://doi.org/10.1121/10.0026239.

  28. Oliva D., Hongisto V. (2013), Sound absorption of porous materials – Accuracy of prediction methods, Applied Acoustics, 74(12): 1473–1479, https://doi.org/10.1016/j.apacoust.2013.06.004.

  29. Pelegrinis M.T., Horoshenkov K.V., Burnett A. (2016), An application of Kozeny–Carman flow resistivity model to predict the acoustical properties of polyester fibre, Applied Acoustics, 101: 1–4, https://doi.org/. 10.1016/j.apacoust.2015.07.019.

  30. Rubacha J., Pilch A., Zastawnik M. (2012), Measurements of the sound absorption coefficient of auditorium seats for various geometries of the samples, Archives of Acoustics, 37(4): 483–488, https://doi.org/10.2478/v10168-012-0060-1.

  31. Saltelli A., Tarantola S., Campolongo F., Ratto M. (2004), Sensitivity Analysis in Practice: A Guide to Assessing Scientific Models, Wiley.

  32. Sebaa N., Fellah Z.E.A., Fellah M., Lauriks W., Depollier C. (2005), Measuring flow resistivity of porous material via acoustic reflected waves, Journal of Applied Physics, 98(8): 084901, https://doi.org/10.1063/1.2099510.

  33. Tao Y., Ren M., Zhang H., Peijs T. (2021), Recent progress in acoustic materials and noise control strategies – A review, Applied Materials Today, 24: 101141, https://doi.org/10.1016/j.apmt.2021.101141.

  34. Vorländer M. (2008), Auralization. Fundamentals of Acoustics, Modelling, Simulation, Algorithms and Acoustic Virtual Reality, Springer Berlin, Heidelberg, https://doi.org/10.1007/978-3-540-48830-9.

  35. Zea E., Brandão E., Nolan M., Cuenca J., Andén J., Svensson U.P. (2023), Sound absorption estimation of finite porous samples with deep residual learning, The Journal of the Acoustical Society of America, 154(4): 2321–2332, https://doi.org/10.1121/10.0021333.

  36. Zhao X.-D., Yu Y.-J., Wu Y.-J. (2016), Improving low-frequency sound absorption of micro-perforated panel absorbers by using mechanical impedance plate combined with Helmholtz resonators, Applied Acoustics, 114: 92–98, https://doi.org/10.1016/j.apacoust.2016.07.013.

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