@incollection{upm1967,
author = {Amable Li{\~n}{\'a}n Mart{\'i}nez},
booktitle = {Mod{\'e}lisation des ph{\'e}nommes de combustion},
editor = {Amable Li{\~n}{\'a}n Mart{\'i}nez and R. Borgui and Paul Clavin and P. Pelc{\'e} and G. Sivashinsky},
address = {Paris},
title = {Theory of droplet vaporization and combustion},
publisher = {Eyrolle},
pages = {73--103},
year = {1985},
url = {http://oa.upm.es/1967/},
abstract = {The classical theory of vapor{\'i}zation and combusti{\'o}n of fuel droplets is examined for low Reynolds numbers, when the effects of the motion of the droplet relative to the ambient atmosphere can be neglected, and the process can be considered spherico-symmetrical.
The large valu{\'e} of the ratio of the liquid density the ty-pical gas density justifies the quasi-steady approximation in the analysis of the gas phase process.
The large valu{\'e} of the ratio of the heat of vapor{\'i}zation per unit mass of fuel to the typical specific thermal energy of the liquid results in the existence of a first stage of droplet heat-ing without vaporization, and a second stage when vaporizarion occurs at a nearly constant web-bulb temperature, close to the boiling temperature.
The large val{\'u}es of typical activation energies of the gas phase reactions, leads to the possibility of m{\'u}ltiple solutions of the quasi-steady conservation equations for the gas phase. These include solutions corresponding to a nearly frozen mode of vapor{\'i}zation, that can not exist above an "ignition" valu{\'e} of the ambient temperature, and a mode of vapor{\'i}zation with diffusion controlled combusti{\'o}n that can not exist for ambient temperatures below an "extinction" valu{\'e}.}
}