One-dimensional pulsation of a toroidal gaseous cavity in a compressible liquid

A simple method, in the framework of an acoustic model, is developed to study the one-dimensional pulsation of a toroidal gaseous cavity formed as the result of the explosion of a ring-shaped charge under conditions where the radius of the torus (a constant) is considerably greater than the radius of the cavity. The following parameters were considered: a charge density of 1.55 g/cu cm, a detonation velocity of 7.7 km/s and a charge diameter of 0.65 mm. It was found that as the ring radius of the charge increases, the pulsation parameters which characterize the energy balance of the explosion asymptotically approach the corresponding parameters in an explosion of cylindrical symmetry.