Mathematical models of phase composition diagrams in multicomponent oxide systems and their applied significance
Orlov A.S. Akberdin A.A. Kim A.S. Sultangaziev R.B.
2025Ore and Metals Publishing house
CIS Iron and Steel Review
2025#3046 - 51 pp.
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 dia grams, 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 multidimen sional 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 cast ings. The aim of the work is to develop and to apply mathematical models of phase composition for analysis and se lection 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.
acidity , computer program , diagram , mathematical model , oxides , phase composition , rocks , slags
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Chemical and Metallurgical Institute named after Zh. Abishev, Karaganda, Kazakhstan
Chemical and Metallurgical Institute named after Zh. Abishev
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