Action of acoustic waves on a cylindrical shell filled with a viscous compressible fluid

The interaction of acoustic waves with elastic media have been considered in numerous papers in the literature and a number of extended monographs exist, for example [1-5, 7-9, ii, 12, 14, 15]. The motion of the fluids (surrounding or filling the shell) is described with the wave equation in the acoustic approximation. The present paper considers the effect of acoustic waves on a cylindrical shell filled with a viscous compressible fluid. Results for an incompressible fluid can be obtained from our results in limiting cases. i. BasicRelations. A plane harmonic compressionalwave with circular frequency moves in an infinite acoustic medium and makes an angle ? with the x axis (Fig. I). The incident wave strikes the cylindrical shell and generates reflected wave. The total wave field creates a stress--strain state in the shell. The wave potential of a plane wave has the form