Chemical and Metallurgical Institute named after Zh. Abishev (Karaganda, Kazakhstan)

A. S. Orlov, Dr. Eng., Associate Prof., Senior Researcher of the Bor laboratory, e-mail: wolftailer@mail.ru
A. A. Akberdin, Dr. Eng., Prof., Head of the Bor Laboratory
A. S. Kim, Dr. Eng., Chief Researcher of the Bor Laboratory
R. B. Sultangaziev, Dr. Eng., Associate Prof., Senior Researcher of the Bor Laboratory

Production of high-quality products requires knowledge of the phase composition of both the raw materials and the final product. Usually, phase diagrams are used for this purpose. However, they are usually three-component diagrams, while natural and man-made formations are multicomponent diagrams. In this paper, it is proposed to use mathematical models of phase composition diagrams for these purposes. Mathematical models have no restrictions on the number of oxides (or metals) presented in raw materials or finished product, they operate in a multidimensional space, not only in a three-dimensional one, where phase diagrams or physical properties are usually displayed. The authors have created mathematical models of a number of three-, four-, five- and six-component systems. The computer programs, which were created on the basis of the models, allow calculation of the numerical values of the phases with high accuracy. In this paper, mathematical models of one quinary MgO–MnO–CaO–SiO₂–Al₂O₃ and two six-component systems CaO–SiO₂–Al₂O₃–MgO–FeO–Fe₂O₃ and CaO–MgO–FeO–Cr₂O₃–Al₂O₃–SiO₂ were used to analyze the issue under discussion. They can describe the slag procedure of blast furnace and cupola smelting of cast iron, production of steel as well as silicon, manganese, chromium ferroalloys and slag-stone castings. The aim of the work is to develop and to apply mathematical models of phase composition for analysis and selection of the chemical composition of raw materials in manufacture of high-quality products, including slag casting and metallurgical slags. The work is aimed at creating numerical methods for calculating the phase composition of multicomponent systems and their use in optimizing processes such as cast iron making, steel making and ferroalloy production, as well as for solving the problems related to the creation of slag-cast products intended for storing and pumping acids, burying radioactive substances or lining of high-temperature zones in smelting furnaces.

This research was funded by the Industrial development Committee of Industry of the Ministry of Industry and Construction of the Republic of Kazakhstan (Grant № BR23991563).

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