This article presents two different models of LOX droplet combustion i
n a high temperature hydrogen gas atmosphere that take into account ho
mogeneous condensation of the burnt products. These products mainly in
clude water, which appears in gaseous phase in the flame sheet. Conden
sation may occur in the neighborhood of the oxygen droplet whose surfa
ce temperature is around 100 K. The goal of this paper is to determine
the possible existence and influence of this phenomenon on the proble
m. The gaseous flow outside the oxygen droplet is described with hypot
heses similar to those leading to the quasi-steady theory and the famo
us d2 law. Although both models are based on the same hypotheses for t
he condensation process (local equilibrium), they differ as to the inf
luence of the condensed water on the gaseous flow. From these two mode
ls, under the assumptions made, the main conclusions are : 1. water co
ndensation occurs in the vicinity of the oxygen droplet, 2. comparison
of these results with those obtained without taking into account cond
ensation shows an increase in the vaporized mass flow rate at the oxyg
en droplet surface.