✦ LIBER ✦

Non-linear acoustics in ducts with varying cross-section

✍ Scribed by J.L. Peube; J. Chasseriaux

Publisher: Elsevier Science
Year: 1973
Tongue: English
Weight: 649 KB
Volume: 27
Category: Article
ISSN: 0022-460X
DOI: 10.1016/s0022-460x(73)80360-8

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✦ Synopsis

A method of solution for the non-linear acoustic equations of an inviscid fluid in a duct with varying cross-section is given, which brings into evidence the following aspects of the problem: (i) the influence of the cross-section variation with respect to the wavelength; (ii) the influence of the non-linear terms, the order of which is characterized by the acoustic Mach number; (iii) the influence of the relative variation of the cross-section over a wavelength.

The velocity potential is obtained as a power series in the different parameters. It is shown that the problem can be reduced to the solution of successive Neumann problems, the compatibility conditions of which give the x-propagation equations.

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