We outline an asymptotic theory for the dynamics of detonation when the radius of curvature of the detonation shock is large compared to the one-dimensional steady, Chapman-Jouguet (CJ), detonation reaction-zone thickness. The theory includes the limits of near-CJ detonation , and when the normal detonation velocity is significantly below its CJ-value. The curvature of the detonation can also be of either sign corresponding to both diverging and converging geometries. In particular, we derive an intrinsic, partial
differential equation (PDE) for the motion of the shock surface, that is hyperbolic in character, and is a relation between the normal detonation shock velocity, shock curvature and the acceleration of the shock along its normal. The derivation includes consideration of additional time-dependence in the slowly-varying reaction-zone than that considered in previous works. A simpler version of the shock evolution equation is derived in the limit of large-activation-energy. Illustrative examples of numerical solutions of intrinsic
hyperbolic evolution equations are presented.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
TAM R 781
1995-6003
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112477
Copyright and License Information
Copyright 1995 Board of Trustees of the University of Illinois
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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