Archives of Acoustics, 3, 3, pp. 211-224, 1978

Impedance of the unbaffled cylindrical pipe outlet for the plane wave incident at the outlet

Anna SANOWSKA
Institute of Physics, Higher Pedagogical School
Poland

The paper presents formulae for the impedance of the outlet of semi-infinite cylindrical wave-guide derived by considering the propagation of a plane wave and accounting for the generation of higher Bessel modes due to the diffraction at the opened end of the wave-guide. For this purpose expressions for the refraction and transformation coefficients of the basic mode were derived by solving exactly the wave equations with suitable boundary conditions using Wiener-Hopf factorization.
Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).

References

Lord RAYLEIGH, Theory of sound, MacMillan, London 1929.

H. LEVINE and J. SCHWINGER, On the radiation of sound from an unflanged circular pipe, Phys. Rev. 73, 4, 383-406 (1948).

Z. ŻYSZKOWSKI, Foundations of electroacoustics, WNT, Warszawa 1966 (in Polish).

W. RDZANEK and R. WYRZYKOWSKI, The acoustic field of a cylinder WSP Rzeszów 1975 (in Polish).