Evaporation of a Single Droplet at Elevated Pressures and Temperatures : 2nd Report, Theoretical Study

Abstract

A mathematical model of a single droplet evaporating in high pressure and high temperature gaseous environments was investigated. The calculations cover the unsteady and steady state of droplet evaporation considering the effect of natural convection. The effects of non-ideal mixtures, the fuel vapor concentration at surface and the non-ideality of the enthalpy of vaporization were taken into consederation in order to describe the phenomena of a droplet evaporating at high pressure. All of these effects were found to be important. Non-linear simultaneous ordinary differential equations were calculated for an n-heptane droplet in nitrogen gas using an electronic computer by Runge-Kutta-Gill method. The results were presented as the size and the temperature history of a droplet and the life time, and showed a good agreement with the experimental results reported in the previous report.