TY - JOUR T1 - A Note on Ring Source over Semi-Infinite Rigid Pipe TT - A Note on Ring Source over Semi-Infinite Rigid Pipe AU - Tiryakioğlu, Burhan PY - 2019 DA - June DO - 10.7240/jeps.488305 JF - International Journal of Advances in Engineering and Pure Sciences JO - JEPS PB - Marmara Üniversitesi WT - DergiPark SN - 2636-8277 SP - 133 EP - 139 VL - 31 IS - 2 LA - en AB - In this paper, rigid-lined infinite tube isconsidered. An analytical solution is presented for the diffraction problem ofacoustic waves spreading from a ring source by an infinite tube. Applying theboundary and continuity conditions in conjunction with the Fourier transformtechnique, the boundary value problem is solved analytically. The influence ofthe problem parameters on the diffraction phenomenon is displayed graphically. KW - Ring Source KW - Diffraction KW - Saddle Point KW - Pipe N2 - Inthis paper, rigid-lined infinite tube is considered. An analytical solution ispresented for the diffraction problem of acoustic waves spreading from a ringsource by an infinite tube. Applying the boundary and continuity conditions inconjunction with the Fourier transform technique, the boundary value problem issolved analytically. The influence of the problem parameters on the diffractionphenomenon is displayed graphically. CR - Büyükaksoy, A., and Demir, A. (2006). Radiation of sound from a semi‐infinite rigid duct inserted axially into a larger infinite tube with wall impedance discontinuity. ZAMM - Journal of Applied Mathematics and Mechanics, 86, 563-571. CR - Demir, A. (2017). Scattering matrices in non-uniformly lined ducts. Zeitschrift für angewandte Mathematik und Physik, 68, 1-15. CR - Nilsson, B., and Brander, O. (1980). The Propagation of Sound in Cylindrical Ducts with Mean Flow and Bulk-reacting Lining I. Modes in an Infinite Duct, IMA Journal of Applied Mathematics, 26, 269–298. CR - Rienstra, S. W. (1999). Sound transmission in slowly varying circular and annular ducts with flow, Journal of Fluid Mechanics, 380, 279-296. CR - Hassan, M., and Rawlins A. D. (1999). Sound radiation in a planar trifurcated lined duct. Wave Motion, 29, 157–174. CR - Tiryakioglu, B., and Demir, A. (2018). Radiation analysis of sound waves from semi-infinite coated pipe. International Journal of Aeroacoustics, https://doi.org/10.1177/1475472X18812802. CR - Büyükaksoy, A. and Polat, B. (1998). Diffraction of acoustic waves by a semi-infinite cylindrical impedance pipe of certain wall thickness. Journal of Engineering Mathematics, 33,333-352. CR - Tiryakioglu, B., and Demir, A. (2015). Wiener-Hopf Analysis of Sound Waves by a Rigid Cylindrical Pipe with External Impedance Surface. International Journal of Mathematical Models and Methods in Applied Sciences, 9, 558-565, 2015. UR - https://doi.org/10.7240/jeps.488305 L1 - https://dergipark.org.tr/tr/download/article-file/763710 ER -