Acoustic propagation in resonant axisymmetric cavities enclosing an inhomogeneous medium. Part II: Cavity with center body

Abstract

Analysis of acoustic propagation of standing waves in rigid axisymmetric cavities enclosing an inhomogeneous medium is extended to cavities with concentric center bodies. An approximation is adopted to study the problem parametrically. Results from this analysis are checked against a more accurate numerical model which relies on surface elements and a Green’s function modified to account for medium inhomogeneity. The center body may enhance the transfer of energy through the c gradient in the case of transverse waves corresponding to the lowest radial harmonic.