Theory of the Propagation of Shock Waves from Infinite Cylinders of Explosive

Abstract

The assumption of energy dissipation at a single shock, formulated in an earlier paper, is employed in the formulation of a pair of ordinary differential equations for peak pressure and shock-wave energy as functions of radial distance from the source for the shock wave produced by an infinite cylinder of explosive along which a stationary detonation wave is traveling with finite velocity. The profile of the wave may be determined by means of an auxiliary integration. The theory takes proper account of the finite entropy increment of the fluid produced by the passage of the shock, and permits the use of the exact Hugoniot curve of the fluid in the numerical integration of the basic equations.