Analysis of Lewis Number Effects in Flame Spread

De Ris's formulation of the problem of flame spread over thin and thick solid fuel surfaces is extended to include the influence of nonunity Lewis numbers of oxidant and fuel vapors. A zeroth order formula for the flame spread velocity is deduced. To this order of approximation, the Lewis number of the oxidant affects the spread rate only through its effect on the flame temperature and the fuel Lewis number plays no role at all. Thin fuel predictions are compared with experiments on flame spread over thin paper samples in a variety of O2-diluent atmospheres. Good agreement between theory and experiment supports the theory and indicates that unity Lewis number assumptions can lead to rather inaccurate spread rate and flame temperature predictions.