Silencing performance of the wave-bearing cavity with porous media

The current study investigates the effects of strong potential porous materials to absorb the transmitted energy in a dissipative device containing a wave-bearing cavity. The expansion chamber consists of horizontal as well as vertical elastic boundaries that is filled with a compressible fluid and porous media. The porous media is dealt as an equivalent fluid with complex propagation speed and density, has effects on the eigenfunctions of cavity regions. The vibrational response of the vertical elastic components having different sets of edge conditions are incorporated by mode-matching tailored-Galerkin (MMTG) approach. This approach provides displacement of vertical elastic membrane which deals with various edge conditions. The MMTG approach has point-wise convergence that is conform through generalized orthogonal relations. The MMTG solutions are used to reconstruct matching conditions and to satisfy law of conservation of energy. It confirms the validity of retained solutions and accuracy of performed algebra. It is observed from the curves of TL and P abs that by varying edge conditions the absorbed power and TL are enhanced.