mathematical analysis of laminar premixed spray flame propagation with heat loss is presented. The analysis makes use of a\ndistributed approximation of the Arrhenius exponential term in the reaction rate expression and leads to an implicit expression for\nthe laminar burning velocity dependent on the spray-related parameters for the fuel, gas-related parameters and the intensity of\nthe heat losses. It is shown that the initial droplet load, the value of the evaporation coefficient, and the initial size distribution are\nthe spray-related parameters which exert an influence on the onset of extinction. The combination of these parameters governs the\nmanner in which the spray heat loss is distributed spatially and it is this feature that is the main factor, when taken together with\nvolumetric heat loss, which determines the spray�s impact on flame propagation and extinction.
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