Traveling wave solutions of a 3-component reaction-diffusion model in smoldering combustion

Kota Ikeda, Masayasu Mimura

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We are concerned with a reaction diffusion model describing slow smoldering combustion. The process consists of a sheet of paper ignited on one side and in the presence of a ow of air confined in a narrow gap above the paper. It is observed that thermal-diffusion instability generates diverse spatial patterns in combustion front propagation, depending on ow velocity of gas supply. Particularly, if the velocity is rather fast, planar front propagating with almost constant velocity appears. Motivated by this observation, we discuss the existence and stability of 1 dimensional traveling wave solutions of the model.

Original languageEnglish
Pages (from-to)275-305
Number of pages31
JournalCommunications on Pure and Applied Analysis
Volume11
Issue number1
DOIs
Publication statusPublished - 1 Jan 2012

Keywords

  • Combustion model
  • Fingering pattern
  • Stability
  • Traveling wave solution

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