Flame propagation in channels: Steady and pulsating propagation

The structure, dynamics and stability of two-dimensional flame fronts propagating in channels of arbitrary width is studied, accounting for heat losses by conduction to the walls, an imposed Poiseuille flow and differential diffusion effects. Our primary objective is to determine within the flammable regions, the conditions that result in steady-propagation and those leading to a pulsating mode of propagation. Special attention is given to the difference between propagation in narrow and wide channels, or thick versus thin flames, and on whether the flame is supported or opposed by the flow field.