University of Illinois Urbana-Champaign

Calculation of linear detonation instability part one one-dimensional instability of plane detonation

Lee, H.I.; Stewart, D.S.

Permalink

https://hdl.handle.net/2142/112233

Description

Title
Calculation of linear detonation instability part one one-dimensional instability of plane detonation
Author(s)
  • Lee, H.I.
  • Stewart, D.S.
Issue Date
1988-12
Keyword(s)
  • Detonation Stability
  • One Dimensional Linear Instability
  • Plane Detonation
Abstract
The detonation stability problem is studied by a normal mode approach which greatly simplifies the calculation of linear instability of detonation in contrast to the Laplace transform procedure used by Erpenbeck. The method of solution, for an arbitrary parameter set, is a classical shooting method. We discuss the important issue of the condition of the perturbations applied at the end of the reaction zone which is shown to be boundedness condition or an acoustic radiation condition. Our method automatically includes the Chapman-Jouguet (CJ) case which presents no special numerical difficulty. The method can be automated to easily generate the required information about instability. (Numerically) exact neutral stability boundaries are given as well as growth rates and eigenfunctions. We give representative results for our detonation model and summarize the 1-D stability behavior in parameter space. This first paper is restricted to the case of one-dimensional linear instability to illustrate the method. Extensions to transverse disutrbances will be treated in a sequel.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 491
  • 1988-6006
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112233
Sponsor(s)/Grant Number(s)
DOE LANL 9 XG 8 3931 P 1 88/12
Copyright and License Information
Copyright 1988 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.