The multi-phase and multi-stage combustion of boron particles is studied nu
merically with a time-dependent spherosymmetric numerical model specificall
y developed for simulating the sequential ignition and combustion of an iso
lated boron particle in chemically reacting gases. The present model repres
ents an extension of previous models developed by the authors in which igni
tion and combustion were modeled separately. In the present paper, surface
nitrogen-boron chemistry is developed and integrated into the model to enab
le the simulation of particle ignition and combustion in nitramine-based pr
opellant environments with and without fluorine. In addition, second-order
surface reactions at the outer surface of the boron oxide coating are added
to the model specifically for low temperature and/or high pressure calcula
tions where adsorption of surface complexes can be significant. The condens
ed-phase transport is reported in detail with the estimation of solubility
parameters. The results show that the presence of fluorine significantly de
creases the overall burning time for kinetically controlled burning systems
but can increase the time for diffusive-controlled systems. Boron nitride
(BN), produced by the surface reaction of NO, is found to be formed near th
e surface in the post-flame products of a RDX flame, but is converted to B/
O compounds at greater radii. Finally, model predictions are compared with
new high pressure ignition and combustion time data. The comparisons show r
easonable agreement with the experimental measurements. Both the ignition a
nd combustion times are found to decrease with increasing gas temperature a
nd pressure. While the experimental results did not show a uniform trend of
oxygen effect at high pressure, model predictions indicate that in high-te
mperature environments (e.g., >1800 K), ignition is insensitive to the mole
cular oxygen mole fraction and that combustion is strongly enhanced in oxyg
en-rich mixtures. (C) 1999 by The Combustion Institute.