Citation

Fangrat J, Wolanski P. J. Fire Sci. 1991; 9(5): 424-437.

Copyright

(Copyright © 1991, SAGE Publishing)

DOI

unavailable

PMID

unavailable

Abstract

In this work, a simple one-dimensional analytical model of flame propagation over a solid fuel layer was developed. It was assumed, on the basis of the previous works, that the main mechanism controlling the flame propagation is the process of heat transport from the flame to the fuel layer by radiation and convection in the gas phase (just above the surface layer). Heat conduction processes in the layer were neglected but heat losses to the surrounding area were taken into account. It was assumed that flame is formed when the rapid pyrolysis in the fuel layer is taking place (temperature of the solid layer reaches the temperature of rapid pyrolysis, which is called "ignition temperature" here in this paper). Heat fluxes from the flame to the layer (by radiation and convection) were treated as exponential functions of the distance from the flame, while the heat losses to the surrounding area were described by the linear function. For the coordinate system fixed with the flame front, the analytical solution for the equation describing heat balance in such layer was obtained. Calculations of the flame propagation velocity, conducted for a few cases, showed qualitative agreement with the experimental data.