Sound Wave Diffraction by a Cavity with Partial Lining

Burhan Tiryakioğlu

doi:10.36753/mathenot.622522

EN

Sound Wave Diffraction by a Cavity with Partial Lining

Abstract

Diffraction of sound wave through a cavity with partial lining is analyzed rigorously. By using the Fourier transform technique in conjunction with the Mode Matching method, the related boundary value problem is formulated as a Wiener-Hopf equation. In the solution, three infinite sets of unknown coefficients are involved that satisfy three infinite systems of linear algebraic equations. Numerical solution of this system is obtained for various values of the parameters of the problem. The influence of the different parameters such as the lining length, cavity depth, etc. on the diffraction are illustrated graphically. A perfect agreement is observed when the results of diffracted field are compared numerically with a similar work existing in the literature.

Keywords

Cavity,Diffraction,Wiener-Hopf technique,Fourier transform,Mode Matching

References

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Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Burhan Tiryakioğlu ^*
0000-0003-1448-6147
Türkiye

Publication Date

March 20, 2020

Submission Date

September 20, 2019

Acceptance Date

March 13, 2020

Published in Issue

Year 2020 Volume: 8 Number: 1

DOI

https://doi.org/10.36753/mathenot.622522

IZ

https://izlik.org/JA33KN88ZK

APA

Tiryakioğlu, B. (2020). Sound Wave Diffraction by a Cavity with Partial Lining. Mathematical Sciences and Applications E-Notes, 8(1), 123-133. https://doi.org/10.36753/mathenot.622522

AMA

1.Tiryakioğlu B. Sound Wave Diffraction by a Cavity with Partial Lining. Math. Sci. Appl. E-Notes. 2020;8(1):123-133. doi:10.36753/mathenot.622522

Chicago

Tiryakioğlu, Burhan. 2020. “Sound Wave Diffraction by a Cavity With Partial Lining”. Mathematical Sciences and Applications E-Notes 8 (1): 123-33. https://doi.org/10.36753/mathenot.622522.

EndNote

Tiryakioğlu B (March 1, 2020) Sound Wave Diffraction by a Cavity with Partial Lining. Mathematical Sciences and Applications E-Notes 8 1 123–133.

IEEE

[1]B. Tiryakioğlu, “Sound Wave Diffraction by a Cavity with Partial Lining”, Math. Sci. Appl. E-Notes, vol. 8, no. 1, pp. 123–133, Mar. 2020, doi: 10.36753/mathenot.622522.

ISNAD

Tiryakioğlu, Burhan. “Sound Wave Diffraction by a Cavity With Partial Lining”. Mathematical Sciences and Applications E-Notes 8/1 (March 1, 2020): 123-133. https://doi.org/10.36753/mathenot.622522.

JAMA

1.Tiryakioğlu B. Sound Wave Diffraction by a Cavity with Partial Lining. Math. Sci. Appl. E-Notes. 2020;8:123–133.

MLA

Tiryakioğlu, Burhan. “Sound Wave Diffraction by a Cavity With Partial Lining”. Mathematical Sciences and Applications E-Notes, vol. 8, no. 1, Mar. 2020, pp. 123-3, doi:10.36753/mathenot.622522.

Vancouver

1.Burhan Tiryakioğlu. Sound Wave Diffraction by a Cavity with Partial Lining. Math. Sci. Appl. E-Notes. 2020 Mar. 1;8(1):123-3. doi:10.36753/mathenot.622522