The control of sound propagation in ducts has always been a problem ofconcern. One of new attempts is to make use of the interaction between asound wave and a flexible panel to reduce the sound propagation. This paperpresents a general model to describe the interaction between flexiblepanelsand sound waves with the emphasis on the effect of flow Mach number, higherorder modes and annular or circular geometrical parameters on the control ofsound propagation, which is not much studied in the current literature. Based ona comparison with the existing results, some important parametric studyis made in the present paper. Further research work issuggested after a detailed discussion and analysis on thenumerical results.