Nonlinear analysis of condensed-phase surface combustion

Marc Garbey, Hans G. Kaper, Gary K. Leaf, Bernard J. Matkowsky

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)73-89
Number of pages17
JournalEuropean Journal of Applied Mathematics
Issue number1
StatePublished - Mar 1990
Externally publishedYes

ASJC Scopus subject areas

  • Applied Mathematics


Dive into the research topics of 'Nonlinear analysis of condensed-phase surface combustion'. Together they form a unique fingerprint.

Cite this