Abstract
The problem of scattering of plane sound waves from radially expanding cylinders and spheres is considered. The problem contains two elements: propagation in radially flowing media in the vicinity of the scatterers, and the effect of the motion of the boundaries on the scattered waves. The problem is solved within the framework of linear acoustics and small velocities of the boundaries. The explicit solutions in terms of the pertinent special functions are obtained by perturbing the time around an arbitrary origin, t = 0; therefore the full time history can only be established by piecing together results for various instances, redefining t = 0 for each case. It is hoped that the results might help in probing underwater explosions and the ensuing pulsating gas bubbles.
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