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Size Effect and Detonation Front Curvature
Author(s) -
Souers P. Clark
Publication year - 1997
Publication title -
propellants, explosives, pyrotechnics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.56
H-Index - 65
eISSN - 1521-4087
pISSN - 0721-3115
DOI - 10.1002/prep.19970220408
Subject(s) - detonation , radius , explosive material , cylinder , mechanics , geometry , radius of curvature , front (military) , detonation velocity , curvature , plane (geometry) , physics , materials science , optics , mathematics , chemistry , mean curvature , meteorology , computer security , organic chemistry , mean curvature flow , computer science
A simple theory relates the size effect (decrease of the detonation velocity with decreasing radius) of a cylinder with its average sonic reaction zone length, 〈x e 〉, i.e. the distance from first reaction to the sonic plane. The size effect is described by\documentclass{article}\pagestyle{empty}\begin{document}$$ \frac{{{\rm U}_{\rm s}}}{{\rm D}} = 1 - \frac{{\langle {\rm x}_{\rm e} \rangle}}{{\sigma {\rm R}_{\rm 0}}} $$\end{document}where R 0 is the radius, U s and D the detonation velocities at R 0 and at infinite size and σ is a function describing the extent of wall motion, which is calibrated using four explosives. In this theory, the cylindrical symmetry imposes a quadratic shape to the detonation front. The lag distance at the edge of the cylinder, L 0 , is related to the reaction zone length by 〈x e 〉 ≈ L 0 . Collected results are presented for 56 measured curvatures on 26 explosives, with reaction zone lengths varying from 0.1 mm to 30 mm.