Yarı Sonsuz Rijit Boru Üzerindeki Halka Kaynak Üzerine Bir Not

Bu çalışmada, yarı sonsuz rijit bir boru ele alınmıştır. Bir halka kaynaktan yayılan akustik dalgaların yarı sonsuz boru ile kırınımı problemi için analitik bir çözüm sunulmuştur. Sınır ve süreklilik koşullarını Fourier dönüşüm tekniği ile birlikte uygulayarak, sınır değer problemi analitik olarak çözülmüştür. Problem parametrelerinin kırınım fenomeni üzerindeki etkisi grafiksel olarak gösterilmiştir.

A Note on Ring Source over Semi-Infinite Rigid Pipe

In this study, semi-infinite rigid pipe is considered. An analytical solution is presented for the diffraction problem of acoustic waves spreadingfrom a ring source by semi-infinite pipe. Applying the boundary and continuity conditions in conjunction with the Fourier transformtechnique, the boundary value problem is solved analytically. The influence of the problem parameters on the diffraction phenomenon isdisplayed graphically.

PDF

___

[1] Levine, H., and Schwinger, J. (1948). On the radiation of sound from an unflanged circular pipe. Physical Review, 73, 383– 406.
[2] Noble, B. (1958). Methods Based on the Wiener-Hopf Techniques. Pergamon Press, London.
[3] 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.
[4] Hassan, M., and Rawlins A. D. (1999). Sound radiation in a planar trifurcated lined duct. Wave Motion, 29, 157–174.
[5] Demir, A. (2017). Scattering matrices in non-uniformly lined ducts. ZAMP – Zeitschrift für angewandte Mathematik und Physik, 68, 1-15.
[6] Tiryakioglu, B., and Demir, A. (2019). Radiation analysis of sound waves from semi-infinite coated pipe. International Journal of Aeroacoustics, 18(1), 92-111.
[7] 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.
[8] 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.
[9] Polat, B. (1999). Diffraction of Acoustic Waves by a Cylindrical Impedance Rod of Finite Length. ZAMM – Journal of Applied Mathematics and Mechanics, 79, 555-567.
[10] Demir, A., and Büyükaksoy, A. (2003). Radiation of Plane Sound Waves by a Rigid Circular Cylindrical Pipe with a Partial Internal Impedance Loading. Acta Acustica United with Acustica, 89, 578-585.