University of Illinois Urbana-Champaign

On the evolution of celluar detonation

Stewart, D. Scott; Aslam, Tariq D.; Yao, Jin

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https://hdl.handle.net/2142/112469

Description

Title
On the evolution of celluar detonation
Author(s)
  • Stewart, D. Scott
  • Aslam, Tariq D.
  • Yao, Jin
Issue Date
1996-01
Keyword(s)
  • Celluar Detonation
  • Shock Evolution
Abstract
A detonation shock evolution equation that predicts both pulsating and cellular detonation has been derived in the limit of near Chapman-Jouguet detonation, weak curvature, slow temporal variation and large activation energy, with a newly-applied technique of the method of successive approximation. The evolution equation describes a wave hierarchy that is consistent with the linear stability theory of the evolution equation. We define the parameter regime where the equation applies. The transverse wave instability as indicated from analysis, leads to cellular detonation. Triple points tracks correspond to shock-shock intersections of the dynamic solution of smooth portions of the front. The dynamics of the cellular solution are consistent with the notion that the power of the detonation front is derived from the normal reaction-zone, and the triple points are generated as a natural consequence of the nonlinearity of the normal front evolution of independently propagating fronts and the consequent shock-shock intersections; not as the centers of blast waves. Explicit criteria for prediction of cell widths and cell aspect ratios are given.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 775
  • 1994-6031
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112469
Sponsor(s)/Grant Number(s)
US Air Force Wright Laboratory 96/01; Air Force Office of Scientific Research 96/01
Copyright and License Information
Copyright 1996 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.