ISSN:
1573-2703
Keywords:
acoustics
;
pipe
;
diffraction
;
Wiener–Hopf technique
;
high-frequency asymptotics
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Technology
Notes:
Abstract An asymptotic high-frequency solution is presented for the problem of diffraction of acoustic waves emanating from a ring source by a semi-infinite cylindrical pipe of certain wall thickness having different internal, external and end surface impedances. Through the application of the Fourier-transform technique in conjunction with the Mode Matching method, the diffraction problem is described by a modified Wiener–Hopf equation of the second kind and then solved approximately. Various numerical results illustrating the effects of the parameters of the problem on the diffraction phenomenon are presented.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1004301829276
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