Skip to main content Accessibility help
×
Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-06T10:07:35.728Z Has data issue: false hasContentIssue false

3 - Transmission of Low-Frequency Sound Waves in Ducts

Published online by Cambridge University Press:  11 May 2021

Erkan Dokumacı
Affiliation:
Dokuz Eylül University
Get access

Summary

This chapter introduces the general analytic theory of one-dimensional sound propagation in ducts and presents acoustic models for uniform, non-uniform and inhomogeneous ducts with hard or finite impedance walls and parallel sheared mean flow.

Type
Chapter
Information
Duct Acoustics
Fundamentals and Applications to Mufflers and Silencers
, pp. 59 - 124
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

Frazer, R.A., Duncan, W.J. and Collar, A.R., Elementary Matrices and Some Applications to Dynamics and Differential equations, (Cambridge: Cambridge University Press, 1963).Google Scholar
Gantmacher, F.R., The Theory of Matrices, vol. 2, (New York: Chelsea Publishing Company, 1984).Google Scholar
Dokumaci, E., An exact transfer matrix formulation of plane sound wave transmission in inhomogeneous ducts, J. Sound Vib. 217 (1998), 869882.CrossRefGoogle Scholar
Campos, L.M.B.C. and Oliveira, J.M.G.S., On the acoustic modes in a parabolic shear flow, J. Sound Vib. 330 (2011), 11661195.Google Scholar
Boucheron, R., Bailliet, H. and Valiere, J.-C., Analytical solution of multimodal acoustic propagation in circular ducts with laminar mean flow profile, J. Sound Vib. 293 (2006), 504518.Google Scholar
Pierce, A.D., Acoustics: An Introduction to Its Physical Principles and Applications, (New York: McGraw-Hill, 1981).Google Scholar
Eisner, E., Complete solutions of the Webster horn equation, J. Acoust. Soc. Am. 46 (1967), 11261146.Google Scholar
Salmon, V., A new family of horns, J. Acoust. Soc. Am. 17 (1946), 212218Google Scholar
Nagarkar, B.N. and Finch, R.D., Sinusoidal horns, J. Acoust. Soc. Am. 50 (1971), 2331.Google Scholar
Dokumaci, E., An approximate analytical solution for plane sound wave transmission in inhomogeneous ducts, J. Sound Vib. 217 (1998), 853867CrossRefGoogle Scholar
Dokumaci, E., A quasi-one-dimensional theory of sound propagation in ducts with mean flow, J. Sound Vib. 419 (2018), 117.CrossRefGoogle Scholar
Tack, D.H. and Lambert, R.F., Influence of shear flow on sound attenuation in a lined duct, J. Acoust. Soc. Am. 38 (1965), 655666.Google Scholar
Starobinski, R., Sound propagation in lined duct with essentially non-uniform distribution of velocity and temperature, Transactions of the Central Institute of Aviation Engine: Jet Engine Noise, CIAM, N 752, Moscow, 1978, pp. 155–181 (an abridged English translation available at: www.researchgate.net/publication/309358647).Google Scholar
Schlichting, H., Boundary Layer Theory, (New York: McGraw-Hill, 1979).Google Scholar
Aurégan, Y., Starobinski, R. and Pagneux, V., Influence of grazing flow and dissipation effects on the acoustic boundary conditions at a lined wall, J. Acoust. Soc. Am. 109 (2001), 5964.CrossRefGoogle Scholar
Aurégan, Y. and Pagneux, V., Slow sound in lined flow ducts, J. Acoust. Soc. Am. 138 (2015), 605613.CrossRefGoogle ScholarPubMed
Doak, P.E. and Vaidya, P.G., Attenuation plane wave and higher order mode sound propagation in lined ducts, J. Sound Vib. 12 (1970), 201224.CrossRefGoogle Scholar
Molloy, C.T., Propagation of sound in lined ducts, J. Acoust. Soc. Am. 16 (1944), 3137.CrossRefGoogle Scholar
Motsinger, R.E. and Craft, R.E., Design and performance of duct acoustic treatment, in Hubbard, H.H. (ed.), Aeroacoustics of Flight Vehicles: Theory and Practice, Vol. 2: Noise Control, NASA RP-1258, (Washington, DC: NASA, 1991), pp. 165206.Google Scholar
Boden, H., Zhou, L., Cordioli, J., Medeiros, A. and Spillere, A., On the effect of flow direction on impedance eduction results, Proceedings of the 22nd AIAA-CEAS Aeroacoustics Conference, No. IAA-2016-2727, Lyon, France, 2016.Google Scholar
Watson, W. and Jones, M.G., A comparative study of four impedance eduction methodologies using several test liners, Proceedings of the 19th AIAA/CEAS Aeroacoustics Conference, No. AIAA 2013-2274, Berlin, Germany, 2013.Google Scholar
Jing, X., Peng, S., Wang, L. and Sun, X., Investigation of straightforward impedance eduction in the presence of shear flow, J. Sound Vib. 335 (2015), 89104.Google Scholar
Park, C.M., Ih, J.G., Nakayama, Y. and Kitahara, S., Single figure rating of porous woven hoses using a non-linear flow resistance model, J. Sound Vib. 257 (2002), 404410.Google Scholar
Cummings, A. and Kirby, R., Low frequency sound transmission in ducts with permeable walls, J. Sound Vib. 226 (1999), 237251.CrossRefGoogle Scholar
Dokumaci, E., Sound transmission in pipes with porous walls, J. Sound Vib. 329 (2010), 53465355.CrossRefGoogle Scholar
Peters, M.C.A., Hirchberg, A., Reinjnen, A.J. and Wijnands, A.P.J., Damping and reflection coefficient measurements for an open pipe at low Mach and low Helmholtz numbers, J. Fluid Mech. 256 (1993), 499534.Google Scholar
Howe, M.S., The damping of sound by wall turbulent shear layers, J. Acoust. Soc. Am. 98 (1995), 17251730. Also in Howe, Acoustics of Fluid-Structure Interaction, (Cambridge: Cambridge University Press, 1998).CrossRefGoogle Scholar
Dokumaci, E., On attenuation of plane sound waves in turbulent mean flow, J. Sound Vib. 320 (2009), 11311136.Google Scholar
Weng, C., Boij, S. and Hanifi, A., The attenuation of sound by turbulence in internal flow, J. Acoust. Soc. Am. 133 (2013), 37643776.Google Scholar
Davies, P.O.A.L., Plane acoustic wave propagation in hot gas flow, J. Sound. Vib. 122 (1988), 389392.Google Scholar
Karthik, B., Kumar, B.M. and Sujith, R.I., Exact solutions to one-dimensional acoustic fields with temperature gradient and mean flow, J. Acoust. Soc. Am. 108 (2000), 3843.CrossRefGoogle ScholarPubMed
Cummings, A., Sound generation and transmission in flow ducts with axial temperature gradients, J. Sound Vib. 57 (1978), 261279.Google Scholar
Kapur, A., Cummings, A. and Mungur, P., Sound propagation in a combustion can with axial temperature and density gradients, J. Sound Vib. 25 (1972), 129138.Google Scholar
Li, J. and Morgans, A.S., The one-dimensional acoustic field with arbitrary mean axial temperature gradient and mean flow, J. Sound Vib. 400 (2017), 248269.CrossRefGoogle Scholar
Ishii, M. and Hibiki, T., Thermo-fluid Dynamics of Two-Phase Flow, (New York: Springer, 2005).Google Scholar
Temkin, S., Suspension Acoustics: an Introduction to the Physics of Suspensions, (Cambridge: Cambridge University Press, 2006).Google Scholar
Heywood, J.B., Internal Combustion Engine Fundamentals, (New York: McGraw-Hill, 1988).Google Scholar
Bolotin, V.V. The Dynamic Stability of Elastic Systems, (San-Francisco: Holden-Day, 1962).Google Scholar
Dokumaci, E., Sound wave motion in pipes having time-variant ambient temperatures, J. Sound Vib. 263 (2003), 4768.CrossRefGoogle Scholar
Ayadi, M., Ffrikha, S., Hennion, P.-Y. and Willats, R., Characterization of rasping noise in automotive engine exhaust ducts. J. Sound Vib. 244 (2001), 79106.Google Scholar
Okada, M., Abe, T. and Inaba, M., Study of the generation mechanism for abnormal exhaust noise, SAE Transactions 96 (1987), 943954.Google 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
×