Manganese is an important alloying element indispensable in the metallurgical industry and it is widely deposited in the form of oxides in nature.
The reduction reaction of manganese oxides in the production of metallic manganese or ferromanganese from these manganese raw materials is of great importance, and there have been many thermodynamic and kinetic studies on it. In particular, several kinetic models describing the carbothermic reduction reaction of MnO have been proposed and experimentally examined.
However, there are some errors in the calculation and experimental results in the models proposed by the previous authors, and no studies have yet applied the fractional order to the kinetic modeling of the reduction reaction of MnO by solid carbon.
Kim Un Dok, a researcher at the Faculty of Metal Engineering, has developed a kinetic model for the reduction process by solid carbon of MnO in high-carbon ferromanganese slags using fractional differential equations (FDE), determined the relationship between fractional order, fractional rate constant and temperature, and verified the accuracy of the fractional order model through the comparison with the results of previous studies.
Comparing the preset values calculated from the FDE and previous models with the experimental values, the root-mean-square errors (RMSE) were 0.005 and 0.029, respectively, and the coefficients of determination were 0.999 and 0.980, respectively, which shows that the proposed model is more accurate.
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