Evolution of Near Chapman-Jouget Deflagrations,
Abstract
In order to analytically investigate flame acceleration effects, Stewart and Ludford posed a model rationally derived from Arrehnius kinetics in which the temperature of the thin reaction zone is constant. For small heat-release during combustion this model has been shown to have a simple limiting form. In this paper the authors show that such a model leads to a Burger's equation for the evolution of disturbances moving with the flame when the flame has been accelerated close to its Chapman-Jouget value (the maximum steady deflagration velocity). The flame forms a moving boundary that imposes certain conditions on the solution. The problem thus posed is a moving boundary problem; the solution and the location of the flame are to be found simultaneously. Numerical results are given for examples of compressional and rarefactive disturbances applied to the unbounded Chapman-Jouget flame. Boundary effects are also investigated.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1983
- Accession Number
- ADP001018
Entities
People
- D. Scott Stewart
- Geoffrey S. S. Ludford
Organizations
- University of Illinois Urbana–Champaign