@article{article_699831, title={The effect of semi perforated duct on ring sourced acoustic diffraction}, journal={Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics}, volume={70}, pages={1073–1084}, year={2021}, DOI={10.31801/cfsuasmas.699831}, author={Tiryakioğlu, Burhan}, keywords={Wiener Hopf, ring source, perforated, duct, saddle point}, abstract={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.}, number={2}, publisher={Ankara Üniversitesi} }