2005
DOI: 10.1016/j.apacoust.2004.11.008
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A three-dimensional finite element approach for predicting the transmission loss in mufflers and silencers with no mean flow

Abstract: A three-dimensional finite element method has been implemented to predict the transmission loss of a packed muffler and a parallel baffle silencer for a given frequency range. Iso-parametric quadratic tetrahedral elements have been chosen due to their flexibility and accuracy in modeling geometries with curved surfaces. For accurate physical representation, perforated plates are modeled with complex acoustic impedance while absorption linings are modeled as a bulk media with a complex speed of sound and mean d… Show more

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Cited by 67 publications
(31 citation statements)
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“…When no mean flow is present, the BEM has been applied successfully to complicated silencers geometries [16][17][18]. Similarly, the FEM has also been used to study dissipative silencers without flow [16,19], and Mehdizadeh and Paraschivoiu [20] report a comprehensive three-dimensional approach. Clearly, using a fully three-dimensional model is very computationally expensive and the number of degrees of freedom used by Mehdizadeh and Paraschivoiu [20] appears to be excessive, at least for a uniform circular silencer.…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…When no mean flow is present, the BEM has been applied successfully to complicated silencers geometries [16][17][18]. Similarly, the FEM has also been used to study dissipative silencers without flow [16,19], and Mehdizadeh and Paraschivoiu [20] report a comprehensive three-dimensional approach. Clearly, using a fully three-dimensional model is very computationally expensive and the number of degrees of freedom used by Mehdizadeh and Paraschivoiu [20] appears to be excessive, at least for a uniform circular silencer.…”
Section: Introductionmentioning
confidence: 99%
“…Similarly, the FEM has also been used to study dissipative silencers without flow [16,19], and Mehdizadeh and Paraschivoiu [20] report a comprehensive three-dimensional approach. Clearly, using a fully three-dimensional model is very computationally expensive and the number of degrees of freedom used by Mehdizadeh and Paraschivoiu [20] appears to be excessive, at least for a uniform circular silencer. It is noticeable, however, that the boundary element models do not combine the effects of both mean flow and a perforated pipe, and only Peat and Rathi [21] have successfully added mean flow to a finite element model of a bulk reacting dissipative silencer.…”
Section: Introductionmentioning
confidence: 99%
“…3 Accurate prediction of the transmission loss (TL) is important for a well-designed muffler. For the air muffler, there are many mature theories for the prediction of TL with satisfied accuracy, such as the transfer matrix method, 4 the analytical method, 5 the finite element method (FEM), 6 and the boundary element method (BEM). 5,7 In contrast, few references have discussed the acoustic performance of the water muffler.…”
Section: Introductionmentioning
confidence: 99%
“…Combining with the frequency domain method, the FEM, 6 the BEM, 7 and the finite volume method (FVM) 10 have been applied to analyze the acoustic performance of the muffler. The FEM and the BEM are much more popular than the FVM in frequency domain, due to the wide application of some commercial codes in design.…”
Section: Introductionmentioning
confidence: 99%
“…The same condition is used, for example, in Mehdizadeh and Paraschivoiu. 5 There are several different empirical formulas available for the impedance (e.g., see Lee 22 ), but the one by Sullivan and Crocker 21 is sufficient for our purposes. Let us denote a perforated wall in the muffler by R and assume that it separates the muffler into two distinct parts X B,1 and X B,2 .…”
mentioning
confidence: 99%