A Transient Problem on the Evaporation of a Reactive Fuel

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Abstract
An integral method is developed to treat by ordinary differential equations the problem of lime-wise development of the viscous, heat and mass conducting layer over the leading edge of a volatile droplet instantaneously immersed in a gas stream. Attention is restricted to the vicinity of the stagnation point. Weak reactions in the sense of small heat release and major species consumption, characteristic of the induction period, are treated. Many effects are treated which are usually avoided in vaporization problems and the time scales for various phenomena are established. Included are the kinetics of the vaporization process, the fuel loading time for the boundary layer, the surface recession and the heat transfer into the liquid. A most important demonstration is that for a high Reynolds number flow, no internal circulation, and usual liquid-gas parameters there is no heat-up to the wet bulb temperature. Consequently, the vaporization rate becomes dependent upon the vaporization kinetics rates, which have been often overstated in the literature.