We study the structure and propagation of combustion waves in thermite
systems in which the heterogeneous mixture of solid reactants initial
ly forms a solid matrix. This solid matrix is destroyed by the combust
ion wave as one of the reactants melts, producing a bath of one reacta
nt in which particles or droplets of the other reactant are suspended.
Gravity can lead to relative motion and hence separation of the react
ants. We formulate a simplified mathematical model of this process in
order to gain insight into how relative motion and separation affect t
he characteristics of the combustion wave. We analytically determine t
he structure of one dimensional uniformly propagating combustion waves
and show that depending on the characteristics of the system, such so
lutions may fail to exist or may be nonunique. We also investigate the
dependence of the combustion velocity on gravity.