On the Hydrodynamic Theory of Detonation

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AbstractWhen the enthalpy of the unreacted explosive is correctly taken into account, the detonation rate D depends to some extent on the explosive's sound speed a0. With a perfect or Abel gas equation, correction terms of the order \documentclass{article}\pagestyle{empty}\begin{document}$ 1 - \frac{{{\rm a}_{\rm 0}^{\rm 2} }}{{{\rm D}^{\rm 2} }} $\end{document} with respect to the classical theory are obtained. They increase D, but lower density and pressure in thc C‐J plane. This agrees with the finding that data derived from experiments on the basis of the classical theory correspond better to a weak Than to a C‐J detonation. The observed difference in density coefficients, dD/dϱ0, of liquid and solid TNT as well as the anisotropy of D of elastically stretched rubberized high explosives are quantitatively understood. It is shown that the extended equations, though based on a gas equation of state, hold approximately for condensed explosives too, provided their compressibility is not too low.