The paper considers the linear stability of the reaction zone structure that has its origins in the large activation energy description of the counterflow diffusion flame. The steady reaction zone structure holds in the premixed flame regime and is known in the literature as Linan's structure problem. The stability of the reaction zone was first studied numerically by N. Peters. We present an analytical analysis for the sought after growth rate and the structure of the resulting eigenfunction based on an asymptotic representation of the eigenfunction that is valid for nearly adiabatic flame structures.
ASJC Scopus subject areas
- Applied Mathematics