University of Illinois Urbana-Champaign

On normal detonation shock velocity-curvature relationship for materials with large activation energy

Yao, Jin; Stewart, D. Scott

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https://hdl.handle.net/2142/112416

Description

Title
On normal detonation shock velocity-curvature relationship for materials with large activation energy
Author(s)
  • Yao, Jin
  • Stewart, D. Scott
Issue Date
1993-09
Keyword(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.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 727
  • 1993-6025
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112416
Sponsor(s)/Grant Number(s)
US Air Force Wright Lab 93/09
Copyright and License Information
Copyright 1993 Board of Trustees of the University of Illinois

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Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
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.