Detonation by Theory and Experiment Fickett Davis

By Theory and Experiment Fickett Davis

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4 DISTANCE BEHIND FRONT DISTANCE BEHIND FRONT Fig. 14. The partial-reaction H u g o n i o t c u r v e s for a hypothetical solid explosive, example 2. The dashed curve is a more realistic X = 0 Hugoniot curve. 0 DISTANCE BEHIND FRONT Fig. 12b. (cont) SO DISTANCE BEHIND FRONT 51 THE SIMPLE THEORY APPENDIX 2A. F O E M U L A S FOR D E T O N A T I O N POLYTROPIC GAS Chap. 2 IN Â For discussion of detonation the simplest models of the explosive are very useful, because the important qualitative behavior can be studied without unnecessary complication of the mathematical expressions.

Also, Davis and Venable (1970) reviewed the conventional measurements, including some later ones, and corrected an error made when reducing free-surface velocity to pressure. 4) GPa from the conventional method. The ± terms are the estimated 95% confidence limits. The error of measuring the change of detonation velocity with temperature is responsible for most of the uncertainty in the first value. The conventional pressure measurements show a structure in the pressure profile that is not predicted by theory, and therefore present some difficulty in interpretation, as discussed by Craig (1965) and Davis and Venable (1970).

2A-20) The CJ state is given by D] = 2( T 2 - l)q (2A-21) PJ = PoD)/{y + 1) (2A-22) vj/v„ = 7/(7 + 1) (2A-23) Uj = Dj/(7 + 1) (2A-24) Cj = 7Dj/(7 + 1). (2A-25) Except for (2A-21), these CJ relations hold for any equation of state with 7 evaluated at the CJ state. 54 3 EXPERIMENTAL TESTS OF THE SIMPLE THEORY The simple theory has been extensively tested by comparing its predictions with experiment. The situation is so different for gases and for liquids and solids that we consider the two cases separately.

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