Skip to main content Accessibility help
×
Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-22T19:12:42.103Z Has data issue: false hasContentIssue false

7 - Transmission of Wave Modes in Coupled Ducts

Published online by Cambridge University Press:  11 May 2021

Erkan Dokumacı
Affiliation:
Dokuz Eylül University
Get access

Summary

Chapter 7 describes modal acoustic models of several coupled duct configurations. The acoustic models described in this chapter extend the one-dimensional area change, junction and perforate elements described in Chapters 3 to three dimensions.

Type
Chapter
Information
Duct Acoustics
Fundamentals and Applications to Mufflers and Silencers
, pp. 326 - 368
Publisher: Cambridge University Press
Print publication year: 2021

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Gabard, G. and Astley, R.J., A computational mode-matching approach for sound propagation in three-dimensional ducts with flow, J. Sound. Vib. 315 (2008), 11031124.CrossRefGoogle Scholar
Rienstra, S.W., Acoustic scattering at a hard-soft lining transition in a flow duct, J. Eng. Math. 59 (2007), 451475CrossRefGoogle Scholar
Furnell, G.D. and Bies, D.A., Matrix analysis of acoustic wave propagation within curved duct systems, J. Sound Vib. 132 (1989), 245263.Google Scholar
Karal, F.C., The analogous acoustical impedance for discontinuities and constrictions of circular cross-section, J. Acoust. Soc. Am. 78 (1953), 327334.Google Scholar
Hudde, H. and Letens, U., Scattering matrix of a discontinuity with a nonrigid wall in a lossless circular duct, J. Sound Vib. 78 (1985), 18261837.Google Scholar
Kergomard, J. and Garcia, A., Simple discontinuities in acoustic waveguides at low frequencies: critical analysis and formulae, J. Sound. Vib. 114 (1987), 465479.CrossRefGoogle Scholar
Peat, K.S., The acoustical impedance at the junction of an extended inlet or outlet duct, J. Sound. Vib. 150 (1991), 101110.CrossRefGoogle Scholar
Nilsson, B. and Brander, O., The propagation of sound in cylindrical ducts with mean flow and bulk-reacting lining: II. Bifurcated ducts, J. I. Math. Appl. 26 (1980), 381410.Google Scholar
Nilsson, B. and Brander, O., The propagation of sound in cylindrical ducts with mean flow and bulk-reacting lining: III. Step discontinuities, IMA J. Appl. Math. 27 (1981), 105131.CrossRefGoogle Scholar
Muehleisen, R.T. and Swanson, D.C., Modal coupling in acoustic waveguides: planar discontinuities, Appl. Acoust. 63 (2002), 13751392.Google Scholar
Dupere, I.D.H. and Dowling, A.P., The absorption of sound near abrupt axisymmetric area expansion, J. Sound. Vib. 239 (2001), 709730.CrossRefGoogle Scholar
Cummings, A., Sound transmission in a folded annular duct, J. Sound. Vib. 41 (1975), 375379CrossRefGoogle Scholar
E-Sharkawy, A.E. and Nayfeh, A.H., Effect of expansion chamber on the propagation of sound in circular pipes, J. Acoust. Soc. Am. 63 (1978), 667674.CrossRefGoogle Scholar
Eriksson, L.J., Higher order mode effects in circular ducts and expansion chambers, J. Acoust. Soc. Am. 68 (1980), 545550.Google Scholar
Nilsson, B. and Brander, O., The propagation of sound in cylindrical ducts with mean flow and bulk-reacting lining: IV. Several interacting discontinuities, IMA J. Appl. Math. 27 (1981), 263289.CrossRefGoogle Scholar
Ih, J.G. and Lee, B.H., Analysis of higher order mode effects in the circular expansion with mean flow, J. Acoust. Soc. Am. 77 (1985), 13771388.CrossRefGoogle Scholar
Yi, S.I. and Lee, B.H., Three-dimensional acoustic analysis of circular expansion chambers with side inlet and side outlet, J. Acoust. Soc. Am. 79 (1986), 12991306.CrossRefGoogle Scholar
Yi, S.I. and Lee, B.H., Three-dimensional acoustic analysis of circular expansion chambers with side inlet and end outlet, J. Acoust. Soc. Am. 81 (1987), 12791287.CrossRefGoogle Scholar
Ih, J.G. and Lee, B.H., Theoretical prediction of the transmission loss of circular reversing chamber mufflers, J. Sound. Vib. 112 (1987), 261272.CrossRefGoogle Scholar
Kergomard, J., Garcia, A., Tagui, G. and Dalmont, J.P., Analysis of higher order mode effects in an expansion chamber using modal theory and equivalent electrical circuits, J. Sound. Vib. 129 (1989), 457475.Google Scholar
Abom, M., Derivation of four-pole parameters including higher-order mode effects for expansion chamber mufflers with extended inlet and outlet, J. Sound. Vib. 137 (1990), 403418.CrossRefGoogle Scholar
Denia, F.D., Albelda, J. and Fuenmayor, F.J., Acoustic behaviour of elliptical chamber mufflers, J. Sound. Vib. 241 (2001), 401421.Google Scholar
Boij, S. and Nilsson, B., Scattering and absorption of sound at flow duct expansions, J. Sound. Vib. 289 (2006), 577594.CrossRefGoogle Scholar
Selamet, A. and Li, Z.L., Circular asymmetric Helmholtz resonators, J. Acoust. Soc. Am. 107 (2000), 23602369.CrossRefGoogle ScholarPubMed
Nilsson, B. and Brander, O., The propagation of sound in cylindrical ducts with mean flow and bulk-reacting lining: I. Modes in an infinite duct, J. I. Math. Appl. 26 (1980), 269298Google Scholar
Ko, S.-H., Theoretical analysis of sound attenuation in acoustically lined flow ducts separated by porous splitters (rectangular, annular and circular ducts), J. Sound. Vib. 39 (1975), 471487.CrossRefGoogle Scholar
Astley, R.J., Cummings, A. and Sormaz, N., A finite element scheme for acoustic propagation in flexible walled ducts with bulk reacting liners and comparison with experiment, J. Sound. Vib. 150 (1991), 119138.CrossRefGoogle Scholar
Peat, K.S. and Rathi, K.L., A finite element analysis of the convected acoustic wave motion in dissipative silencers, J. Sound. Vib. 184 (1995), 529545.CrossRefGoogle Scholar
Glav, R., The point–point matching method on dissipative silencers of arbitrary cross-section, J. Sound. Vib. 189 (1996), 123135.CrossRefGoogle Scholar
Kirby, R., Transmission loss predictions for dissipative silencers of arbitrary cross section in the presence of mean flow, J. Acoust. Soc. Am. 114 (2003), 200209.CrossRefGoogle ScholarPubMed
Selamet, A., Xu, M.B. and Lee, I.H., Analytical approach for sound attenuation in perforated dissipative silencers with inlet/outlet extensions J. Acoust. Soc. Am. 117 (2005), 20782089.Google Scholar
Lawrie, J.B. and Kirby, R., Mode-matching without root finding: application to a dissipative silencer, J. Acoust. Soc. Am. 119 (2006), 20502061.CrossRefGoogle ScholarPubMed
Albeda, J., Denia, F.D., Torres, M.I. and Fuenmayor, F.J., A transversal sub-structuring mode matching method applied to the acoustic analysis of dissipative mufflers, J. Sound. Vib. 303 (2007), 614631.CrossRefGoogle Scholar
Sohei, N., Tsuyoshi, N. and Takashi, Y., Acoustic analysis of elliptical muffler chamber having a perforated pipe, J. Sound. Vib. 297 (2006), 761773.CrossRefGoogle Scholar
Kanwal, R.P., Generalized Functions: Theory and Technique, (Boston: Birkhäuser, 1998).Google Scholar
Kirby, R. and Lawrie, J.B., A point collocation approach to modeling large dissipative silencers, J. Sound. Vib. 286 (2005), 313339.CrossRefGoogle Scholar
Kirby, R., The influence of baffle fairings on acoustic performance of rectangular splitter silencers, J. Acoust. Soc. Am. 118 (2005), 23022312.Google Scholar
Wu, C.J., Wang, X.J. and Tang, H.B., Transmission loss prediction on a single-inlet/double-outlet cylindrical expansion chamber muffler using the modal meshing method, Appl. Acoust. 69 (2008), 173178.Google Scholar
Denia, F.D. and Selamet, A., “Transmission loss prediction on a single-inlet/double-outlet cylindrical expansion chamber muffler using the modal meshing method” by C.J. Wu, X.J. Wang and H.B. Tang (Applied Acoustics 69 (2008), 173–178), Appl. Acoust. 69 (2008) 280281.Google Scholar
Denia, F.D., Albeda, J., Fuenmayor, F.J. and Torregrosa, A.J., Acoustic behaviour of elliptical chamber mufflers, J. Sound. Vib. 243 (2001), 401421.CrossRefGoogle Scholar
Selamet, A., Easwaran, W. and Falkowski, A.G., Three pass muffler with uniform perforations, J. Acoust. Soc. Am. 105 (1999), 15481562.CrossRefGoogle Scholar

Save book to Kindle

To save this book to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×