Title

MATHEMATICAL THREE-DIMENSIONAL AND DYNAMIC MODEL OF SINTERING PROCESS AND ITS USE IN THE THEORETICAL AND PRACTICAL PURPOSES

MATHEMATICAL THREE-DIMENSIONAL AND DYNAMIC MODEL OF SINTERING PROCESS AND ITS USE IN THE THEORETICAL AND PRACTICAL PURPOSES

Authorship

Frolov, Y. A.; Polotsky., L. I.

Frolov, Y. A.

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Polotsky., L. I.

I am this author

DOI

10.5151/2594-357X-22247

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Abstract

This paper proposes the three-dimensional mathematical model of sintering process which developed for decision of theoretical and practical problems. The model allows to achieve dynamic distribution of temperatures and chemical composition of mix, smelt, cake, and gas in volume of the sintering bed in a real operating mode of sinter machine, taking into account transient processes, as well as parameters of a gas stream in waste gases system with account of air leakages in elements of waste gas system. Sintering process is presented through differential equations system in private derivatives for the mix parameters and ordinary differential equations for gas stream parameters. To describe chemical reactions in a bed the frontal model is accepted. A grain of ore part is considered as a sphere of determinate diameter in which fronts CaCO3→CaO, MgCO3→MgO, Fe2O3→FeO, FeO→Fe2O3 are moving inside. A particle of solid fuel is considered as a sphere of variable diameter decreasing during carbon burning process. Moving fronts speeds are function of temperature of material and gas composition. For research purposes the model is used particularly to develop a theory of mix drying in a bed and gas dynamic of sintering process. For applied problems the model is used for calculation of sintering and cooling zones of sinter machine in Dneprodzerzhinsk (Ukraine) with the area of 520 м2, and for reconstruction of sinter machines of the Chelyabinsk Steel Plant (Russia) with the area of 240 м2.

This paper proposes the three-dimensional mathematical model of sintering process which developed for decision of theoretical and practical problems. The model allows to achieve dynamic distribution of temperatures and chemical composition of mix, smelt, cake, and gas in volume of the sintering bed in a real operating mode of sinter machine, taking into account transient processes, as well as parameters of a gas stream in waste gases system with account of air leakages in elements of waste gas system. Sintering process is presented through differential equations system in private derivatives for the mix parameters and ordinary differential equations for gas stream parameters. To describe chemical reactions in a bed the frontal model is accepted. A grain of ore part is considered as a sphere of determinate diameter in which fronts CaCO3→CaO, MgCO3→MgO, Fe2O3→FeO, FeO→Fe2O3 are moving inside. A particle of solid fuel is considered as a sphere of variable diameter decreasing during carbon burning process. Moving fronts speeds are function of temperature of material and gas composition. For research purposes the model is used particularly to develop a theory of mix drying in a bed and gas dynamic of sintering process. For applied problems the model is used for calculation of sintering and cooling zones of sinter machine in Dneprodzerzhinsk (Ukraine) with the area of 520 м2, and for reconstruction of sinter machines of the Chelyabinsk Steel Plant (Russia) with the area of 240 м2.

Keywords

Three-dimensional mathematical model; Sintering process; Distribution of temperatures and chemical composition; Designing and reconstruction of sinter machines.

Three-dimensional mathematical model; Sintering process; Distribution of temperatures and chemical composition; Designing and reconstruction of sinter machines.