A study on the kinetic process of reaction synthesis of TiC: Part II. Theoretical analyses and numerical calculation

Based on the experimental results, a mathematical kinetic model of the reac tion process to synthesize TiC particles has been built, and a reaction rat e expression is developed in this article based on the following mechanism: a Ti-rich Al-Ti complex layer is formed around carbon particles and titani um atoms diffuse from melt, across the layer, to react with carbon to form TIG; the TIC particles precipitate out of melt and diffuse all over the mel t. The calculated results have shown that there are four major effect eleme nts-the temperature of the system, the aluminum content of the preform, the thickness of the titanium-rich layer, and the size of carbon particle-to d ecrease the aluminum content, the thickness of titanium-rich layer, and the size of carbon particle and to increase the temperature, accelerate the re action rate, and reduce the complete reaction time. In the end, some experi ments have been done to investigate the effect of temperature, size of C po wder, and Al content on the reaction. The experimental results were in good agreement with the numerical calculated result.