Focusing of weak shock waves on a target in parabolic chamber.

Authors: Apazidis, N.
Document Type: Article
Pubstate: Published
Journal: Shock waves
Volume: 3   1-10
Year: 1993


Theoretical study of a weak shock focusing process in confined chamber filled with liquid is presented. The chamber has a form of a thin cylinder with a parabolic cross-section, planar bottom and an arbitrary, although slowly varying, upper bounding surface. In the present case a planar shock, perpendicular to the axis of the parabolic cross-section, sent in the inner of the chamber will converge at the focus after the reflection off the chamber wall, thus offering a different technical realization of the shock generation. The problem is solved within the frame of the geometrical acoustics approximation and a relation between the form of the upper bounding surface of the chamber and the pressure distribution behind the converging wavefront is obtained. It is shown that desired pressure distribution may be obtained by an appropriate choice of the upper bounding surface.