An analytical solution is obtained for the diffraction problem. In an infinite cylindrical duct, the sound waves are emanating by a ring source. The duct is rigid for z < l and perforated for z > l. The mixed boundary value problem is defined by a Wiener Hopf equation, by using the Fourier transform technique. Then the numerical solution is obtained. The influence of the parameters of the problem on the diffraction phenomenon is displayed graphically. The present study can be used as a model for different applications. Reducing noise in exhaust systems, ventilation systems are some of these applications.
Primary Language | English |
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Subjects | Applied Mathematics |
Journal Section | Research Articles |
Authors | |
Publication Date | December 31, 2021 |
Submission Date | March 6, 2020 |
Acceptance Date | July 8, 2021 |
Published in Issue | Year 2021 Volume: 70 Issue: 2 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
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