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Title:On normal detonation shock velocity-curvature relationship for materials with large activation energy
Author(s):Yao, Jin; Stewart, D. Scott
Subject(s):Normal Detonation Shock
Velocity-curvature Relationship
Activation Energy
Abstract:We derive the normal detonation shock velocity, curvature relation for a near-Chapman-Jouguet detonation, for an explosive material with Arrhenius kinetics and a large activation energy. Large activation energy asymptotics are used to develop an explicit exponential formula relating the shock curvature k to the normal detonation speed, Dn. In this case, the Dn - k relation is multi-varied and has a turning point with a critical curvature kcr such that for k > kcr, the possibility of detonation extinction arises. The asymptotic formula is in excellent agreement with the exact solution found by numerical shooting procedure.
Issue Date:1993-09
Publisher:Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report:TAM R 727
1993-6025
Genre:Technical Report
Type:Text
Language:English
URI:http://hdl.handle.net/2142/112416
ISSN:0073-5264
Sponsor:US Air Force Wright Lab 93/09
Rights Information:Copyright 1993 Board of Trustees of the University of Illinois
Date Available in IDEALS:2021-11-04


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  • Technical Reports - Theoretical and Applied Mechanics (TAM)
    TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.

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