Theoretical Studies of Detonation.
Final rept. Feb 66-Feb 71,
STANFORD RESEARCH INST MENLO PARK CALIF
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General properties of Zeldovich-von Neumann-Doering Z-N-D waves are derived with an arbitrary equation of state. Constant velocity one-dimensional cylindrically and spherically symmetric detonations are shown to propagate as unsteady-state waves exact integral relationships for steady-state axial flow in a cylindrical charge are obtained as generalized Rankine-Hugoniot equations without approximating divergence terms. More specific properties of steady-state Z-N-D waves are based on the polytropic equation of state of detonation products. Properties of steady-state reaction zones are derived with the equations for axial flow. With respect to a one-dimensional Chapman-Jouguet C-J wave, flow divergence produces an increase in the ratio of sound speed to particle velocity at the sonic point, and a corresponding decrease in the ratio of C-J density to initial density. A point of inflection in the particle velocity-distance profile of a C-J wave is associated with a temperature dependent energy release rate. Inverse methods are developed for constructing exact solutions for Z-N-D waves in terms of hydrodynamic properties that completely determine the flow field. Solutions for decaying, accelerating, and oscillatory one-dimensional waves are constructed to examine the dependence of detonation on equation of state, rear boundary conditions, and energy release rate. A solution for axial flow in a two-dimensional detonation is constructed to demonstrate the influence of radial flow divergence on reaction zone as charge diameter increases from its critical value to infinity. Author
- Ammunition and Explosives