Abstract
The transient heating of an evaporating spherical droplet, suspended in a hot gas environment, is analysed by assuming the droplet radius to be fixed during each time step of the vaporization process. Depending on the time-varying temperature of the gas environment at the immediate vicinity of the droplet, truncated expansions in short time limits are obtained for the droplet surface, centre and volume-average temperatures. The new analytical solutions are proved to be accurate and simple enough (more computationally efficient). They can therefore be useful in droplets transient heating and evaporation modelling, as performed in the Computational Fluid Dynamics (CFD) calculation for sprays.
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