Finite-difference modelling of self-propagating high-temperature synthesis of materials

Abstract

The modelling of self-propagating high-temperature reactions is attempted using a finite difference model. The model is described and model results are compared with experimentally observed combustion wave velocities for the reaction 3TiO₂ + 4Al + 3C → 3tiC + 2Al₂O₃ using various processing parameters (diluents, preheating etc.). The model is extended to derive a parameter which determines under what conditions a reaction will become self-propagating.