Transmission Loss Analysis for a Silencer with an Infinite Number of Expansion Chambers Using the Transfer Matrix Method.

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Title: Transmission Loss Analysis for a Silencer with an Infinite Number of Expansion Chambers Using the Transfer Matrix Method.
Authors: Salamah, Ayah1 (AUTHOR) ayahsalamah5@gmail.com, Tiyah, Dalia1 (AUTHOR) dalia.tiyah@gmail.com, Horoub, Mamon1 (AUTHOR) mhoroub@birzeit.edu
Source: Arabian Journal for Science & Engineering (Springer Science & Business Media B.V. ). Nov2025, Vol. 50 Issue 22, p18747-18757. 11p.
Subjects: Transfer matrix, Noise control, Industrial applications, Acoustic filters, Energy dissipation, Absorption of sound, Mathematical models, Frequencies of oscillating systems
Abstract: The growing use of industrial, air conditioning, and exhaust systems causes constant noise propagation affecting humans' health and environment. To mitigate this issue, expansion chamber silencers are widely used to attenuate the produced noise. A new approach is used to enhance the performance of the expansion chambers silencer in terms of increasing transmission loss, thereby improving noise dissipation. The approach analyzes the effect of utilizing different lengths configurations of the expansion chambers on transmission loss. A generalized mathematical model (MM) is derived using the transfer matrix method to facilitate finding the transmission loss for any number of expansion chambers. The MM is applied to evaluate two cases; the first case examined the impact of varying length configurations on the transmission loss of quadrable expansion chambers within the range of frequencies 0–3000 Hz, irrespective of the total length of each configuration. A constant total length is considered, in the second case, for all configurations and it is applied on three expansion chambers within the same frequency range and specifically at constant frequencies of 520 and 2024 Hz. In the first case, a maximum transmission loss has appeared at the "increasing then decreasing" length configuration. In the second scenario, the "uniform" length configuration worked best at 520 Hz, the "increasing then uniform" length design was best at 2024 Hz, and the "decreasing then uniform" length option displayed the largest transmission loss across the whole frequency range. These findings demonstrated that despite a constant total length, different optimal length configurations exist at each frequency, leading to maximum transmission loss and the most efficient noise reduction. [ABSTRACT FROM AUTHOR]
Copyright of Arabian Journal for Science & Engineering (Springer Science & Business Media B.V. ) is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Label: Title
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  Data: Transmission Loss Analysis for a Silencer with an Infinite Number of Expansion Chambers Using the Transfer Matrix Method.
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  Data: <searchLink fieldCode="AR" term="%22Salamah%2C+Ayah%22">Salamah, Ayah</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> ayahsalamah5@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Tiyah%2C+Dalia%22">Tiyah, Dalia</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> dalia.tiyah@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Horoub%2C+Mamon%22">Horoub, Mamon</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> mhoroub@birzeit.edu</i>
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  Data: <searchLink fieldCode="DE" term="%22Transfer+matrix%22">Transfer matrix</searchLink><br /><searchLink fieldCode="DE" term="%22Noise+control%22">Noise control</searchLink><br /><searchLink fieldCode="DE" term="%22Industrial+applications%22">Industrial applications</searchLink><br /><searchLink fieldCode="DE" term="%22Acoustic+filters%22">Acoustic filters</searchLink><br /><searchLink fieldCode="DE" term="%22Energy+dissipation%22">Energy dissipation</searchLink><br /><searchLink fieldCode="DE" term="%22Absorption+of+sound%22">Absorption of sound</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink><br /><searchLink fieldCode="DE" term="%22Frequencies+of+oscillating+systems%22">Frequencies of oscillating systems</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: The growing use of industrial, air conditioning, and exhaust systems causes constant noise propagation affecting humans' health and environment. To mitigate this issue, expansion chamber silencers are widely used to attenuate the produced noise. A new approach is used to enhance the performance of the expansion chambers silencer in terms of increasing transmission loss, thereby improving noise dissipation. The approach analyzes the effect of utilizing different lengths configurations of the expansion chambers on transmission loss. A generalized mathematical model (MM) is derived using the transfer matrix method to facilitate finding the transmission loss for any number of expansion chambers. The MM is applied to evaluate two cases; the first case examined the impact of varying length configurations on the transmission loss of quadrable expansion chambers within the range of frequencies 0–3000 Hz, irrespective of the total length of each configuration. A constant total length is considered, in the second case, for all configurations and it is applied on three expansion chambers within the same frequency range and specifically at constant frequencies of 520 and 2024 Hz. In the first case, a maximum transmission loss has appeared at the "increasing then decreasing" length configuration. In the second scenario, the "uniform" length configuration worked best at 520 Hz, the "increasing then uniform" length design was best at 2024 Hz, and the "decreasing then uniform" length option displayed the largest transmission loss across the whole frequency range. These findings demonstrated that despite a constant total length, different optimal length configurations exist at each frequency, leading to maximum transmission loss and the most efficient noise reduction. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Arabian Journal for Science & Engineering (Springer Science & Business Media B.V. ) is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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    Identifiers:
      – Type: doi
        Value: 10.1007/s13369-024-09926-2
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 11
        StartPage: 18747
    Subjects:
      – SubjectFull: Transfer matrix
        Type: general
      – SubjectFull: Noise control
        Type: general
      – SubjectFull: Industrial applications
        Type: general
      – SubjectFull: Acoustic filters
        Type: general
      – SubjectFull: Energy dissipation
        Type: general
      – SubjectFull: Absorption of sound
        Type: general
      – SubjectFull: Mathematical models
        Type: general
      – SubjectFull: Frequencies of oscillating systems
        Type: general
    Titles:
      – TitleFull: Transmission Loss Analysis for a Silencer with an Infinite Number of Expansion Chambers Using the Transfer Matrix Method.
        Type: main
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          Name:
            NameFull: Salamah, Ayah
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            NameFull: Tiyah, Dalia
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            NameFull: Horoub, Mamon
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            – D: 15
              M: 11
              Text: Nov2025
              Type: published
              Y: 2025
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