The article presents physical and mathematical models of a complex energy-intensive chemical-power-technological process of the phosphate raw materials roasting in a moving dense layer with cross- feeding of heat-carrying gas on the of the roast machine conveyor. The studies were conducted in the temperature ranges of thermal and aerodynamic modes of functioning of roasting conveyor and sintering machines operating with account for macro-kinetics of thermally activated chemical-energy-technological processes of decarbonizing. The cause of internal heat exchange conditions in the ore material grains in the reacting dense layer impact on the carbonates dissociation reaction macro-kinetics was scientifically substantiated. The proposed model is being distinguished by the complex accounting for the wide range of kinetic equations parameters of the carbonates dissociation chemical-power-technological process. The article presents the adequacy analysis of the proposed model. The authors performed a series of computational experiments oriented to revealing the dependence between the ore samples heating conditions and the degree of decarbonizing. The temperature dependences effect of raw and roasted ore materials and thermo- physical characteristics of the heat-carrying gas, as well as roast conditions of the ore phosphate raw material consumption and temperature of the heating gas dependency on time were revealed. The heat-carrying gas and raw material temperature distributions along the layer height at any time instant, temperature distribution in the elementary measuring cell, the heat pickup of the cell and raw the material layer in total, trans- formation degrees in separate grains and in the dense layer were determined.
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