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Nonlinear analysis of condensed-phase surface combustion†

Published online by Cambridge University Press:  16 July 2009

Marc Garbey ,
Hans G. Kaper ,
Gary K. Leaf  and
Bernard J. Matkowsky
Marc Garbey
Affiliation:
Mathematic and Computer Science Division, Argonne National Laboratory, Argonne, IL 60439-4801, USA
Hans G. Kaper
Affiliation:
Mathematic and Computer Science Division, Argonne National Laboratory, Argonne, IL 60439-4801, USA
Gary K. Leaf
Affiliation:
Mathematic and Computer Science Division, Argonne National Laboratory, Argonne, IL 60439-4801, USA
Bernard J. Matkowsky
Affiliation:
Mathematic and Computer Science Division, Argonne National Laboratory, Argonne, IL 60439-4801, USA
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Abstract

This article is concerned with the structure and stability properties of a combustion front that propagates in the axial direction along the surface of a cylindrical solid fuel element. The fuel consists of a mixture of two finely ground metallic powders, which combine upon ignition in a one-step chemical reaction. The reaction is accompanied by a melting process, which in turn enhances the reaction rate. The combustion products are in the solid state. The reaction zone, inside which the melting occurs, is modelled as a front that propagates along the surface of the cylinder. The different modes of propagation that have been observed experimentally (such as single- and multiheaded spin combustion and multiple-point combustion) are explained as the results of bifurcations from a uniformly propagating plane circular front. The stability properties of the various modes are discussed.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 1 , Issue 1 , March 1990 , pp. 73 - 89
Copyright
Copyright © Cambridge University Press 1990

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