Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-28T05:31:44.515Z Has data issue: false hasContentIssue false

9 - Reflection and Radiation at Open Duct Terminations

Published online by Cambridge University Press:  11 May 2021

Erkan Dokumacı
Erkan Dokumacı
Affiliation:
Dokuz Eylül University
Get access

Summary

In most duct systems, propagation of duct-borne sound terminates with a duct which opens to an exterior environment. Chapter 9 describes modeling of open ends of ducts and the acoustic field radiated from an open end. This enables acoustic model of a duct system to be extended from the source to the receiver.

Keywords

reflection matrixflanged open endunflanged open endradiation model
Type
Chapter
Information
Duct Acoustics
Fundamentals and Applications to Mufflers and Silencers
 , pp. 399 - 437
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

Morse, P.M. and Feshbach, H., Methods of Theoretical Physics, (New York: McGraw-Hill, 1953).Google Scholar
Baker, B.B. and Copson, E.T., The Mathematical Theory of Huygen’s Principle, (Oxford: Clarendon Press, 1950).Google Scholar
Kirkup, S.M., The Boundary Element Method in Acoustics, Integrated Sound Software, available online at www.boundary-element-method.com, (2019[1998/2007]).Google Scholar
Selamet, A., Li, Z.L. and Kach, R.A., Wave reflections from duct terminations, J. Acoust. Soc. Am. 109 (2001), 1304–1311.CrossRefGoogle ScholarPubMed
Dalmont, J.-P., Nederveen, C.J. and Joly, N., Radiation impedance of tubes with different flanges: numerical and experimental investigations, J. Sound Vib. 244 (2001), 505–534.CrossRefGoogle Scholar
Da Silva, A.R., Mareze, P.H. and Lenzi, A., Approximate expressions for the reflection coefficient of ducts terminated by circular flanges, J. Braz. Soc. Mech. Sci. Eng. 34 (2012), 219–224.CrossRefGoogle Scholar
Watson, G.N., A Treatise on the Theory of Bessel Functions, (Cambridge: Cambridge University Press, 1966).Google Scholar
Norris, A.N. and Sheng, I.C., Acoustic radiation from a circular pipe with an infinite flange, J. Sound Vib. 135 (1989), 85–93.Google Scholar
Silva, F., Guillerman, Ph., Kergomard, J., Mallorini, B. and Norris, A.N., Approximation formulae for the acoustic radiation impedance of a cylindrical pipe, J. Sound Vib. 322 (2009), 255–263.CrossRefGoogle Scholar
Zorumski, W.E., Generalized radiation impedances and reflection coefficients of circular and annular ducts, J. Acoust. Soc. Am. 54 (1973), 1667–1673.Google Scholar
Wendolowski, J.C., Fricke, F.R. and McPhedran, R.C., Boundary conditions of cylindrical flanged pipe, J. Sound Vib. 162 (1993), 89–96.Google Scholar
Bom, H.J. and Park, I.J., A series solution for acoustic radiation from a flanged circular pipe, Acustica 80 (1994), 315–316.Google Scholar
Amir, N. and Matzner, H., Acoustics of flanged circular pipe using singular basis functions, J. Acoust. Soc. Am. 107 (2000), 714–724.CrossRefGoogle Scholar
Cho, Y.C., Rigorous solutions for sound radiation from circular ducts with hyperbolic horns or infinite plane baffle, J. Sound Vib. 69 (1980), 405–425.CrossRefGoogle Scholar
Levine, H. and Schwinger, J., On the radiation of sound from an unflanged circular pipe, Physical Review 73 (1948), 383–406.Google Scholar
Noble, B., The Wiener–Hopf Technique, (London: Pergamon Press, 1958).Google Scholar
Rawlins, A.D., Radiation of sound from an unflanged rigid cylindrical duct with an acoustically absorbent internal surface, Proc. Royal Soc. Lond. A. 361 (1978), 65–91.Google Scholar
Peake, N., On radiation properties of an asymmetric cylinder, Wave Motion 22 (1995), 371–385.CrossRefGoogle Scholar
Munt, R., The interaction of sound with a subsonic jet issuing from a semi-infinite cylindrical pipe, J. Fluid Mech. 83 (1977), 609–640.CrossRefGoogle Scholar
Munt, R., Acoustic transmission properties of a jet pipe with subsonic jet flow, J. Sound Vib. 142 (1990), 413–436.CrossRefGoogle Scholar
Rienstra, S.W., Acoustic radiation from a semi-infinite annular duct in a uniform subsonic mean flow, J. Sound Vib. 94 (1984), 267–288.Google Scholar
Gabard, G. and Astley, R.J., Theoretical model for sound radiation from annular jet pipes: far- and near-field solutions, J. Fluid Mech. 549 (2006), 315–341.CrossRefGoogle Scholar
Taylor, M.V., Crighton, D.G. and Cargill, A.M., The low frequency aeroacoustics of buried nozzle systems, J. Sound Vib. 163 (1993), 493–526.CrossRefGoogle Scholar
Veitch, B. and Peake, N., Acoustic propagation and scattering in the exhaust flow from coaxial cylinders, J. Fluid Mech. 613 (2008), 275–307.CrossRefGoogle Scholar
in’t Panhuis, P., Calculation of the sound pressure reflection coefficient and the acoustic end correction of a semi-infinite circular pipe issuing a subsonic cold or hot jet with co-flow, Internal report, MWL, Aeronautical and Vehicle Engineering, KTH, Stockholm, (2003).Google Scholar
Rienstra, S., On the acoustical implications of vortex shedding from an exhaust pipe, Trans. AMSE. 103 (1981), 378–384.Google Scholar
Allam, S. and Åbom, M., Investigation of damping and radiation using full plane wave decomposition in ducts, J. Sound Vib. 292 (2006), 519–534.Google Scholar
English, E.J., A measurement based study of the acoustics of pipe systems with flow, PhD thesis, ISVR, University of Southampton, UK, (2010) (https://bit.ly/3loWU6L).Google Scholar
Rammal, H. and Lavrentjev, J., Sound reflection at an open end of a circular duct exhausting hot gas, Noise Control Eng. J. 56 (2008), 107–114.CrossRefGoogle Scholar
Rienstra, S.W., Small Strouhal number analysis for acoustic wave-jet flow-pipe interactions, J. Sound Vib. 86 (1983), 539–556.Google Scholar
Cargill, A., Low frequency acoustic radiation from a jet pipe-a second order theory, J. Sound Vib. 83 (1982), 339–354.CrossRefGoogle Scholar
Howe, M.S., Acoustics of Fluid-Structure Interaction, (Cambridge: Cambridge University Press, 1998).CrossRefGoogle Scholar
Cargill, A., Low-frequency sound radiation and generation due to the interaction of unsteady flow with a jet pipe, J. Fluid Mech. 121 (1982), 59–105.CrossRefGoogle Scholar
Hirschberg, A. and Rienstra, S.W., An Introduction to Aeroacoustics, (The Netherlands: Eindhoven University of Technology, 2004).Google Scholar
Davies, P.O.A.L., Plane wave reflection at flow intakes, J. Sound Vib. 115 (1987), 560–564.CrossRefGoogle Scholar
Abromovitch, M., Stegun, I.A., Handbook of Mathematical Functions, (Washington D.C: National Bureau of Standards, Applied Mathematics Series 55, 1972).Google Scholar
Toregrosa, A.J., Broatch, A., Bermúdez, V. and Andrés, I., Experimental assessment of emission models used for IC engine exhaust noise prediction, Experimental Thermal and Fluid Science 32 (2005), 97–107.CrossRefGoogle Scholar
Homicz, G.F. and Lordi, J.A., A note on the radiative directivity patterns of duct acoustic modes, J. Sound Vib. 41 (1975), 283–290.CrossRefGoogle Scholar
Dowling, A.P. and Ffowcs Williams, J.E., Sound and Sources of Sound, (Chichester: Ellis Horwood Ltd., 1983).Google Scholar
Mungur, P., Plumblee, H.E. and Doak, P.E., Analysis of acoustic radiation in a jet flow environment, J. Sound Vib. 36 (1974), 21–52.CrossRefGoogle Scholar
Bies, F.A. and Hansen, C.H., Engineering Noise Control, (London: E and FN Spon, 2009).Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure no-reply@cambridge.org 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
×