Impedance of the unbaffled cylindrical pipe outlet for the plane wave incident at the outlet
Abstract
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.References
[1] Lord RAYLEIGH, Theory of sound, MacMillan, London 1929.
[2] H. LEVINE and J. SCHWINGER, On the radiation of sound from an unflanged circular pipe, Phys. Rev. 73, 4, 383-406 (1948).
[3] Z. ŻYSZKOWSKI, Foundations of electroacoustics, WNT, Warszawa 1966 (in Polish).
[4] W. RDZANEK and R. WYRZYKOWSKI, The acoustic field of a cylinder WSP Rzeszów 1975 (in Polish).
[2] H. LEVINE and J. SCHWINGER, On the radiation of sound from an unflanged circular pipe, Phys. Rev. 73, 4, 383-406 (1948).
[3] Z. ŻYSZKOWSKI, Foundations of electroacoustics, WNT, Warszawa 1966 (in Polish).
[4] W. RDZANEK and R. WYRZYKOWSKI, The acoustic field of a cylinder WSP Rzeszów 1975 (in Polish).
