This paper studies combustion fronts propagating on and in a thin disk composed of a solid combustible mixture after ignition in a cylindrical region of radius r0. A basic solution is constructed that describes an outward propagating circular front of radius R(τ) on the upper surface of the disk. Since the scales of the combustion process (diffusion and reaction) are much smaller than even τ0, a perturbation analysis is employed for large R. This analysis corresponds to the situation in which the conditions of ignition no longer affect propagation.
ASJC Scopus subject areas
- Applied Mathematics