A Theory of Distortion of the Reaction Zone

A cylindrical detonating explosive behaves like a non-Newtonian viscous fluid emerging from a cylindrical pipe. The expression for non-Newtonian viscous flow has been applied to detonating explosives. The resultant fit to emerging flame fronts from detonation is excellent for a wide variety of deton...

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Bibliographic Details
Published in:Proceedings of the National Academy of Sciences - PNAS 1980-10, Vol.77 (10), p.5575-5579
Main Authors: Coon, Nancy, Ma, Shao-Mu, Redington, Patrick K., Brown, Billings, Eyring, Henry
Format: Article
Language:English
Subjects:
Ammonium nitrates
Cosine function
Cylinders
Detonation
Experimental data
Explosives
Parabolas
Particle velocity
Physical Sciences: Chemistry
Shock fronts
Steady states
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Summary:A cylindrical detonating explosive behaves like a non-Newtonian viscous fluid emerging from a cylindrical pipe. The expression for non-Newtonian viscous flow has been applied to detonating explosives. The resultant fit to emerging flame fronts from detonation is excellent for a wide variety of detonating explosives both for transients (at various times) and for steady state. The quantities k′(λ /λ1)(2/B) and 1/B and the rate constant k′increase abruptly at a time supporting a change in mechanism from deflagration to detonation in the transient during initiation. All of these parameters are temperature sensitive, indicating an abrupt temperature increase as a condition or indicator in the deflagration-to-detonation transition. Furthermore, a straight line results when log particle velocity u is plotted against log radial distance r, indicating that, for the explosives studied, the hyperbolic cosine wave front can be replaced by a parabolic wave front within the accuracy of the available experimental data.
ISSN:0027-8424
1091-6490
DOI:10.1073/pnas.77.10.5575