On the flame shape in diffusion combustion of a liquid fuel film on a substrate

摘要

In this paper, we consider the classical Burke-Schumann problem as applied to the construction of a mathematical model of a diffusion flame spreading over a fuel film deposited on a thin substrate. This formulation is used to model the combustion of a gaseous fuel flowing from a thin slot (half-width x (in)) and mixed with oxidizer flowing from a parallel slot (with the outer boundary x (out)). The key parameters determining the position of the flame front in the space are identified: the Peclet number Pe, the stoichiometric parameter A dependent on the equivalence ratio, and the geometric parameter X (in) = x (in)/x (out). The dependences of the flame length on these parameters, including x (out) -> a, are analyzed. Comparison shows good agreement between calculated and experimental data.