University of Illinois Urbana-Champaign

Relation between curvature rate state-dependence and detonation velocity

Klein, Robert; Stewart, D. Scott

Permalink

https://hdl.handle.net/2142/112238

Description

Title
Relation between curvature rate state-dependence and detonation velocity
Author(s)
  • Klein, Robert
  • Stewart, D. Scott
Issue Date
1991-04
Keyword(s)
  • Near-cj Detonation
  • Curvature Effects
  • Rate State Dependence
Abstract
The paper considers the effect of rate state-dependence and curvature on detonation velocity and detonation structure in the quasi-steady quasi-one-dimensional limit. Extensions of prior results of Bdzil and Stewart as well as the correct analysis of the problem for Arrhenius kinetics, originally considered by Wood and Kirkwood are given. New formulas for large activation energy are obtained. The latter half of the paper provides a derivation of the relevant front evolution equations and of the simplified asymptotic equations using Whitham’s shock ray coordinates.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 496
  • 1991-6002
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112238
Sponsor(s)/Grant Number(s)
DOE LANL 9 XG 83831 P 1 91/04
Copyright and License Information
Copyright 1991 Board of Trustees of the University of Illinois

Owning Collections

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.