Sound Transmission in a Duct With an Array of Lined Resonators

A simple method is presented for describing the sound transmission in a duct containing an array of lined resonators. The impedance of a resonator element is calculated, including the effect of the lining and the duct is modeled as a one-dimensional waveguide with lumped impedances. An expression for the TL is derived from considerations of pressure and mass flow continuity along the duct. Experimental data compared to numerical computations show that the method developed here describes satisfactorily the performance of the duct and allows useful parametric analyses which can lead to improved design.