An asymptotic study of the transition from slow to fast burning in narrow channels

Motivated by recent theoretical developments in the dynamics of slow isobaric flames evolving in narrow channels (thick flames), the present study is concerned with non-isobaric flames. A reduced Darcy-like one-dimensional model capable of capturing an abrupt transition from slow conduction-driven to fast compression-driven burning is derived through an appropriate asymptotic procedure. Specifically, the adopted approach is based on the...