Unsteady effects in droplet evaporation and combustion
Abstract
An asymptotic analysis is presented for the problem of droplet vaporization in a stagnant atmosphere taking into account the unsteady effects in the gas phase. The ratio of the densities of the ambient gas and of the liquid is considered as a small parameter. The results of the classical quasisteady theories are recovered in the first approximation, and corrections due to unsteady effects are obtained for the vaporization rate and for the droplet lifetime, which are found to be of the order of the square root of the density ratio. The analysis is extended to cover the cases when the vaporization rate is enhanced by a fast irreversible reaction between the fuel vapor and an oxidizer in the ambient gas. While the quasisteady theories predict the vaporization rate with relative errors of the order of the square root of the density ratio, the ratio of flame radius to droplet radius is found in many practical cases to vary significantly with time in agreement with experimental results.
 Publication:

Combustion Science and Technology
 Pub Date:
 1975
 Bibcode:
 1975CST....11....9C
 Keywords:

 Combustion Stability;
 Drops (Liquids);
 Evaporation Rate;
 Fuel Combustion;
 Unsteady State;
 Vaporizing;
 Asymptotic Methods;
 Boundary Value Problems;
 Flame Propagation;
 QuasiSteady States;
 Temperature Distribution;
 Vapor Phases;
 Fluid Mechanics and Heat Transfer