Sound Radiation from Non-Uniformly Lined Duct with Partial Rigidity

Abstract

Radiation of sound waves by a semi-infinite circular cylindrical pipe with non-uniform lining is analyzed by using the Jones' method in conjunction with the mode matching technique. This mixed method of formulation gives rise to a scalar Wiener-Hopf equation. The inner surface of the duct is coated by acoustically absorbing different linings. In the present study, different linings with partial rigidity make the problem more interesting when it is compared with the uniform lining. The solution of the considered problem involves three infinite sets of coefficients satisfying three infinite systems of linear algebraic equations. Numerical solutions of these systems are obtained for various values of the parameters of the problem and their effects on the radiation phenomenon are shown graphically. The solution is compared graphically with a similar study existing in the literature. A perfect agreement is observed between the both results.

Cold plasma-induced effects on electromagnetic wave scattering in waveguides: a mode-matching analysis

“…These fields satisfy the Helmholtz equation and boundary conditions on perfectly conducting walls. The eigenexpansion of B z 2 ( ) can be extracted from equations (7) and (14) for the plasma slab enclosed by metallic strips and for the slab embedded in a dielectric environment, respectively.…”

“…Analytical mode-matching methods are found to be useful for analysis of the energy propagation in a waveguide. The technique has recently been advanced in various directions to investigate the scattering behavior of acoustic waves at structural discontinuities: for instance, see [5][6][7][8][9][10]. The transfer of electromagnetic energy using plasma waveguides has always been an interest of researchers [11][12][13][14][15].…”