Araştırma Makalesi

Yıl 2019,
Cilt: 31 Sayı: 2, 133 - 139, 30.06.2019
### Öz

### Anahtar Kelimeler

### Kaynakça

In this paper, rigid-lined infinite tube is

considered. An analytical solution is presented for the diffraction problem of

acoustic waves spreading from a ring source by an infinite tube. Applying the

boundary and continuity conditions in conjunction with the Fourier transform

technique, the boundary value problem is solved analytically. The influence of

the problem parameters on the diffraction phenomenon is displayed graphically.

- 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.
- Demir, A. (2017). Scattering matrices in non-uniformly lined ducts. Zeitschrift für angewandte Mathematik und Physik, 68, 1-15.
- 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.
- Rienstra, S. W. (1999). Sound transmission in slowly varying circular and annular ducts with flow, Journal of Fluid Mechanics, 380, 279-296.
- Hassan, M., and Rawlins A. D. (1999). Sound radiation in a planar trifurcated lined duct. Wave Motion, 29, 157–174.
- 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.
- 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.
- 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.

Yıl 2019,
Cilt: 31 Sayı: 2, 133 - 139, 30.06.2019
### Öz

### Anahtar Kelimeler

### Kaynakça

In

this paper, rigid-lined infinite tube is considered. An analytical solution is

presented for the diffraction problem of acoustic waves spreading from a ring

source by an infinite tube. Applying the boundary and continuity conditions in

conjunction with the Fourier transform technique, the boundary value problem is

solved analytically. The influence of the problem parameters on the diffraction

phenomenon is displayed graphically.

- 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.
- Demir, A. (2017). Scattering matrices in non-uniformly lined ducts. Zeitschrift für angewandte Mathematik und Physik, 68, 1-15.
- 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.
- Rienstra, S. W. (1999). Sound transmission in slowly varying circular and annular ducts with flow, Journal of Fluid Mechanics, 380, 279-296.
- Hassan, M., and Rawlins A. D. (1999). Sound radiation in a planar trifurcated lined duct. Wave Motion, 29, 157–174.
- 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.
- 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.
- 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.

Toplam 8 adet kaynakça vardır.

Birincil Dil | İngilizce |
---|---|

Bölüm | Araştırma Makaleleri |

Yazarlar | |

Yayımlanma Tarihi | 30 Haziran 2019 |

Yayımlandığı Sayı | Yıl 2019 Cilt: 31 Sayı: 2 |