Droplet flames mass burning rate

Among the several theoretical analyses of the combustion of a single droplet, the classical derivation was presented by Godsave (24), whose analysis predicted that the mass burning rate should vary directly as the product of flame and droplet radii and... 

The rate at which the droplet evaporates and bums is generally considered to be determined by the rate of heat transfer from the flame front to the fuel surface. Here, as in the case of gaseous diffusion flames, chemical processes are assumed to occur so rapidly that the burning rates are determined solely by mass and heat transfer rates. 

It is now possible to calculate the burning rate of a droplet under the quasisteady conditions outlined and to estimate, as well, the flame temperature and position however, the only means to estimate the burning time of an actual droplet is to calculate the evaporation coefficient for burning, f3. From the mass burning results obtained, f3 may be readily determined. For a liquid droplet, the relation... 

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