Ys. Zhang et Gc. Stangle, A MICROMECHANISTIC MODEL OF THE COMBUSTION SYNTHESIS PROCESS .1. THEORETICAL DEVELOPMENT, Journal of materials research, 9(10), 1994, pp. 2592-2604
A theoretical model of the combustion synthesis process has been devel
oped. In particular, a set of nonlinear and interrelated partial diffe
rential equations is given that accounts for all of the relevant physi
cal and chemical processes that occur during the combustion synthesis
process. The appropriate conservation equations for thermal energy, ma
ss, and momentum densities are correctly described-for each phase at e
ach point in the sample-at all times during the process. In addition,
details of the necessary interphase transfer terms are expressed in a
number of constitutive relationships, in which the dependence of an in
dependent variable upon its dependent variable(s) is given explicitly.
In doing so, microstructural details are accounted for, derived prima
rily from percolation concepts as applied to disordered porous media.
All assumptions that are incorporated into the theoretical model have
been tabulated in detail. This theoretical model establishes an approa
ch to the development of a sound, quantitative, and fundamental unders
tanding of the combustion synthesis process, particularly with respect
to the processing-microstructure-properties relationship. It also pro
vides a point of departure for conducting detailed, quantitative compu
ter experiments of the combustion synthesis process.