Model for the interaction of the melt components of metals and slag systems that takes into account their cluster structure


The cluster structure of liquid metals and slag systems is thermodynamically described at the electronic level of unit elements. A model developed on this basis is used to study the dependence of the nitrogen solubility in steel and to calculate the dynamic viscosity and electrical conductivity of manganese ferroalloy systems.

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  1. 1.

    V. D. Gruba, E. P. Zhidkov, and L. A. Sevast’yanov, “The Bogolubov equation and problems of the physics of condensed state,” Fiz. Elem. Particles and Atomic Nucleus 31(7a), 162–166 (2000).

    Google Scholar 

  2. 2.

    Yu. S. Venets, “On the relation between the solubility of gases in solid iron and its electron configuration,” Teoriya i Praktika Metallurgii, Nos. 1, 2, 38–42 (2006).

    Google Scholar 

  3. 3.

    Yu. S. Venets, “Dependence of the nitrogen solubility in austenite and ferrite on alloying at the elemental level,” in Proceedings of 10th International Conference on High Nitrogen Steels HNS 2009 (MISiS, Moscow, 2009), pp. 51–63.

    Google Scholar 

  4. 4.

    Yu. S. Venets, “The calculation method of estimating the structure and mechanical properties of austenite and carbon steels,” in Proceedings of the Third International Scientific-Engineering Conference on Metallophysics, Mechanics of Materials, Nanostructures, and Deformation processes METALLDEFORM 2009 (Izd. Ucheb. Lit., Samara, 2009), pp. 21–30.

    Google Scholar 

  5. 5.

    Yu. S. Venets, “Thermodynamics of precipitating the softening ferrite from cast austenite corrosion-resistant steels,” in Pervye Moscovskie Chteniya po Problemam Prochnosti Materialov (Moscow, 2009), pp. 45–46.

    Google Scholar 

  6. 6.

    Ya. I. Frenkel, Kinetic Theory of Liquids (Fizmatgiz, Leningrad, 1959).

    Google Scholar 

  7. 7.

    V. V. Pavlov, On the Crisis of Kinetic Theory of Liquid and Solidification (UG-GGA, Yekaterinburg, 2002).

    Google Scholar 

  8. 8.

    G. N. Elanskii and D. G. Elanskii, The Structure and Properties of Metallic Melts (MGVI, Moscow, 2006).

    Google Scholar 

  9. 9.

    S. A. Dubrovskii, A. A. Shipel’nikov, and A. N. Rogotovskii, “Hypothesis of the cluster nature of heritance of charge materials in the ferrous alloy metallurgy,” Vesti Vuzov Chernozem’ya, No. 1(11), 89–96 (2008).

    Google Scholar 

  10. 10.

    A. A. Vertman and A. M. Samarin, Properties of Iron Melts (Nauka, Moscow, 1969).

    Google Scholar 

  11. 11.

    V. K. Grigorovich, Metallic Bond and the Structure of Metals (Nauka, Moscow, 1988).

    Google Scholar 

  12. 12.

    J. Chipman and D. A. Corrigan, “Prediction of solubility of nitrogen in molten steel,” Trans. Met. Soc. AIME 223(7), 1249–1259 (1965).

    Google Scholar 

  13. 13.

    G. M. Grigorenko and Yu. M. Pomarin, Hydrogen and Nitrogen in Metals upon Plasma Melting (Naukova Dumka, Kyiv, 1985).

    Google Scholar 

  14. 14.

    M. I. Gasik, N. P. Lyakishev, and B. I. Emlin, Theory and Technology of Ferroalloy Production (Metallurgiya, Moscow, 1988).

    Google Scholar 

  15. 15.

    M. M. Gasik, V. S. Kutsin, and M. I. Gasik, “Mathematical analysis of the experimental data on the electrical conductivity of MnO-SiO2-CaO slag melts of production of manganese ferroalloys,” Stal’, No. 2, 32–37 (2011).

    Google Scholar 

  16. 16.

    E. V. Prikhod’ko, D. N. Togobitskaya, A. F. Petrov, et al., “Prediction of the physicochemical properties of slags of manganese ferroalloy production,” Metallurg. i Gornorud. Promyshlennost’, No. 3, 33–37 (2010).

    Google Scholar 

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Correspondence to Yu. S. Venets.

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Original Russian Text © Yu.S. Venets, 2013, published in Elektrometallurgiya, 2013, No. 8, pp. 31–37.

This paper was submitted in Russian in the authors’ version.

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Venets, Y.S. Model for the interaction of the melt components of metals and slag systems that takes into account their cluster structure. Russ. Metall. 2013, 964–968 (2013).

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  • RUSSIAN Metallurgy
  • Cluster Structure
  • Liquid Steel
  • Nitrogen Solubility
  • Slag System