Accession Number : ADP001018
Title : Evolution of Near Chapman-Jouget Deflagrations,
Corporate Author : ILLINOIS UNIV AT URBANA DEPT OF THEORETICAL AND APPLIED MECHANICS
Personal Author(s) : Stewart,Donald Scott ; Ludford,G. S. S.
Report Date : FEB 1983
Pagination or Media Count : 10
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.
Descriptors : *Mathematical models, *Boundary value problems, *Deflagration, Evolution(Development), Equations, Flames, Acceleration
Distribution Statement : APPROVED FOR PUBLIC RELEASE