Theoretical analyses of sound attenuation in acoustically lined flow ducts separated by porous splitters (rectangular, annular and circular ducts)

A theoretical study is reported of the sound attenuation in acoustically lined flow ducts, the walls of which are separated by porous splitters parallel to the direction of the fluid flow. The splitter considered in the present investigation is a porous medium that allows the wave motion in the directions of both normal and parallel to the duct axis. Eigenvalue problems are formulated for rectangular, annular and circular ducts in the presence of a uniform flow by satisfying pertinent boundary conditions across the fluid-fluid interfaces. The theoretical prediction of the sound attenuation is based on the sum of the acoustic energy flows in the flow passages and the porous splitter.