Abstract
A new evolution equation is derived for a laminar flame front propagating into air and a polydisperse liquid fuel spray cloud. The asymptotic analysis employed for developing the equation exploits the usual inverse large activation energy parameter associated with chemical reaction in the flame. It is demonstrated that the droplet size distribution in the fuel cloud can be critical in determining whether propagation or extinction of the flame front occurs, even for different size distributions initially having the same Sauter Mean Diameter (SMD).
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