University of Illinois Urbana-Champaign

Critical detonation shock curvature and failure dynamics developments in theory of detonation shock dynamics

Stewart, D. Scott; Yao, Jin

Permalink

https://hdl.handle.net/2142/112437

Description

Title
Critical detonation shock curvature and failure dynamics developments in theory of detonation shock dynamics
Author(s)
  • Stewart, D. Scott
  • Yao, Jin
Issue Date
1994-02
Keyword(s)
Detonation Shock Dynamics
Abstract
We report on recent developments in the theory of detonation shock dynamics (DSD). In particular we discuss the normal detonation shock velocity, Dn, curvature, K, relation for a near-Chapman-Jouguet detonation, for a material with Arrhenius kinetics and a large activation energy. An explicit formula for a multi-valued Dn - K relation, that shows a turning point with a critical curvature Ker such that for K > Ker, the possibility of detonation extinction, is obtained. We also outline a new asymptotic analysis when Dn is far below its Chapman-Jouguet value, which give rise to a new evolution equation and new dynamics that can describe failing and accelerating detonation.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 746
  • 1994-6002
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112437
Copyright and License Information
Copyright 1994 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.