Radiation analysis of sound waves from semi-infinite coated pipe

Abstract

An analytical solution is presented for the problem of radiation of sound waves from a semiinfinite circular cylindrical coated pipe which is partially lined from inside. By stating the total field in duct region in terms of normal waveguide modes (Dini's series) and using the Fourier transform technique elsewhere, we obtain a Wiener-Hopf equation whose solution involving three sets of infinitely many unknown expansion coefficients satisfying three systems of linear algebraic equations. This system is solved numerically and the influence of some parameters (pipe radius, impedances, extension, etc.) on the radiation phenomenon is displayed graphically.

A Note on Ring Source over Semi-Infinite Rigid Pipe

“…An analytical solution was obtained based on the Wiener-Hopf technique [2]. Later, different geometries were investigated rigorously by the help of Wiener-Hopf technique [3][4][5][6]. Acoustic absorbing material was used in some of these studies for reducing noise.…”

Diffraction of sound waves by a lined cylindrical cavity

“…The imaginary part of lining can be positive or negative, then the surface is said to be capacitive or inductive, respectively. 20 Parameter values related with the surface linings are taken from the study of Demir et al 12 ; Tiryakioglu and Demir 18 ; and Tiryakioglu. 20 Figure 3 shows the variation of the diffracted field amplitude with the truncation number N. One can see that the amplitude of the diffracted field becomes insensitive to the truncation From Figures 5 to 7, one can see that the highest sound absorption can be achieved by choosing linings properly.…”

Sound Wave Diffraction by a Cavity with Partial Lining

“…Rawlins proved that acoustically absorbing lining is an efficient method to reduce the irritated sound [5]. The phenomenon of diffraction with acoustically absorbing lining has also been investigated with and without flow by various researchers [6][7][8][9].…”