Diffraction of acoustic waves by a semi-infinite cylindrical impedance pipe of certain wall thickness
JOURNAL OF ENGINEERING MATHEMATICS, vol.33, no.4, pp.333-352, 1998 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 33 Issue: 4
- Publication Date: 1998
- Doi Number: 10.1023/a:1004301829276
- Journal Name: JOURNAL OF ENGINEERING MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.333-352
- Keywords: acoustics, pipe, diffraction, Wiener-Hopf technique, high-frequency asymptotics
- Yıldız Technical University Affiliated: No
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.