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Mathematical model of the temporary pulsating gunshot cavity

Włodarczyk E., Maruszyński M.

Journal of Technical Physics

2004

Vol. 45, no 4

275-288

The analytical method, describing the temporary pulsating gunshot cavity, has been presented in this paper. This cavity is simulated with the aid of a pulsating spherical gas bubble in non-viscous, incompressible liquid. The simple algebraic formulae, determining the maximal radius and minimal one of the temporary gunshot cavity, have been derived. It seems that the maximal radius, R1, is an explicit function of the impact velocity of a bullet in the ideal liquid, and of the bullet calibre, as well as of the liquid density. The minimal radius, R2, of the temporary cavity additionally depends on the initial gas pressure within the bubble. Note that the radii R1 and R2 do not depend on the bullet mass. The closed algebraic formulae, which determine the velocity, acceleration and pressure fields in the ideal liquid surrounding the temporary cavity, have been obtained, too. The results of the theoretical analysis, presented in this paper, are compatible with the experimental data [1-6, 10, 11, 14).