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PROPAGATION OF FINITE AMPLITUDE ACOUSTIC WAVES IN A TWO-DIMENSIONAL RECTANGULAR DUCT

✍ Scribed by M.X Deng

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 199 KB
Volume: 218
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1998.1860

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✦ Synopsis

Finite amplitude acoustic waves (FAAWs) that propagate in a two-dimensional rectangular duct of semi-infinite length as a result of periodic excitation are determined by using second-order perturbation, based on the partial wave analysis method. With second-harmonic boundary and initial conditions of excitation, second-harmonic analytical expressions, which are applicable to quantitative analysis, have been derived. In this manner, a physical mechanism of second-harmonic generation and propagation in the process of propagation of FAAWs is clearly displayed. Based on the formula, some numerical calculations are performed. The numerical results clearly exhibit the distortion and symmetry of second-harmonic field pattern for a given source of excitation.

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