Abstract

A new analysis of counterflow spray diffusion flames is presented. Unlike previous work from the literature, the current treatment permits important effects of non-unity Lewis numbers for the fuel vapor and the oxidant. The spray is considered to vaporize in a front upstream of the flame. Combined effects of transport (via the Lewis numbers) and droplet loading on the characteristics of spray flames are investigated using outer region analytic solutions. The endothermicity of evaporation has a profound effect on the flame temperature and location. Conditions for flame extinction are also examined. The analysis shows that for realistic values of the Lewis numbers, the presence of the spray will produce extinction more readily than for an equivalent gas flame. However, there is a fine nonlinear interaction between diffusional effects and the droplet loading whereby for the same droplet loading, an increase of the fuel vapor Lewis number slightly reduces the onset of extinction.

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