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High intensity sound in a lined duct

✍ Scribed by D. Firth; M. West; D.J. Poole; F. Walkden


Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
519 KB
Volume
34
Category
Article
ISSN
0022-460X

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✦ Synopsis


The non-linear equations appropriate to the transmission of sound in a duct are derived from the equations of fluid dynamics. A numerical method is described by which solutions are obtained. For low sound pressure levels the numerical solution is shown to provide results in close accord with theory for hard-walled and lined ducts. At high sound pressure levels (in excess of 160 dB re 0'00002 N/m 2) the non-linear effects are shown to lead to the formation of a "sawtooth" wave in a hard-walled duct. Further results are presented showing the attenuating effect of linings at high sound pressure levels.


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The theory used to calculate sound attenuation in a circular lined duct is briefly described. The individual modal solutions so found are then combined in order to more truly represent the practical situation. The manner in which the modes should be combined is not normally known and some assumptio