Macroscopic theory of mechanochemical synthesis in heterogeneous systems

Physical and mathematical models of mechanochemical synthesis in the macroscopic approximation were suggested. The mathematical model is based on the equations of (a) heat balance in a reactor, (b) dynamics of excess energy in condensed matter (defining the effect of mechanical activation on the rate of chemical reaction), (c) chemical kinetics, and (d) comminution and change in the surface area of reactive interface. The suggested model was analyzed analytically. Syntheses in a preliminarily activated system (two-stage) and directly in a mechanoactivator (single-stage) were comparatively studied. The expressions for the process parameters were derived. The accuracy of predictions was checked by numerical simulation.