Abstract
This paper examines a mathematical diffusion model for the purification of substances by distillation. We present the dependences of the separation factor—a quantitative characteristic of the degree of purification of substances—and the effective separation coefficient on the Peclet number, vaporization rate, and sampling ratio. For selenium containing barium impurities, we determine the equilibrium separation coefficient and diffusion coefficient of the solute from experimental data.
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Devyatykh, G.G. and Elliev, Yu.E., Vvedenie v teoriyu glubokoi ochistki veshchestv (Introduction to the theory of Ultrapurification), Moscow: Nauka, 1981.
Shiryaev, V.S., Pimenov, V.G., Lipatova, M.M., Evdokimov, I.I., Churbanov, M.F., Kirillov, Yu.P., and Kornoukhov, V.N., Removal of barium impurities from selenium by vacuum distillation, Inorg. Mater., 2010, vol. 46, no. 3, pp. 314–317.
Churbanov, M.F. and Shiryaev, V.S., Behavior of submicron carbon impurity particles during vacuum distillation of selenium, Vysokochist. Veshchestva, 1996, no. 2, pp. 5–13.
Churbanov, M.F., Gerasimenko, V.V., and Shiryaev, V.S., Behavior of impurity inclusions during vacuum distillation of tellurium, Inorg. Mater., 2001, vol. 37, no. 10, pp. 1017–1020.
Churbanov, M.F. and Skripachev, I.V., Preparation of high-purity sulfur, Vysokochist. Veshchestva, 1988, no. 5, pp. 92–107.
Buinovskii, A.S., Marinenko, E.G., and Sofronov, V.L., Purification of plutonium trichloride by molecular distillation, Tsvetn. Metall., 2012, no. 1, pp. 31–34.
Myasnikov, S.K., Uteshinsky, A.D., and Kulov, N.N., Hybrid separation processes combining vacuum distillation with fractional crystallization, partial melting, and granulation, Theor. Found. Chem. Eng., 2009, vol. 43, no. 3, pp. 227–237.
Kirgintsev, A.N., Isaenko, L.I., and Isaenko, V.A., Raspredelenie primesi pri napravlennoi kristallizatsii (Solute Distribution in Directional Solidification), Novosibirsk: Nauka, 1977.
Burton, J.A., Prim, R.C., and Slichter, W.P., The distribution of solute in crystals grown from the melt: I. Theoretical, J. Chem. Phys., 1953, vol. 21, no. 11, pp. 1987–1991.
Smith, V.G., Tiller, W.A., and Rutter, Y.W., A mathematical analysis of solute redistribution during solidification, Can. J. Phys., 1955, vol. 33, no. 12, pp. 428–437.
Landau, A.I., Effect of solute diffusion in a melt on the solute distribution in the crystal grown by directional solidification, in Rost kristallov (Crystal Growth), Moscow: Akad. Nauk SSSR, 1957, vol. 1.
Lyubov, V.Ya. and Temkin, D.K., Soluble impurity distribution in the solidification process, in Rost kristallov (Crystal Growth), Moscow: Akad. Nauk SSSR, 1961, vol. 3.
Kvajic, G. and Brajovic, V., Segregation of (137Cs)+ impurity during growth of polycrystalline ice, Can. J. Phys., 1964, vol. 35, pp. 636–643.
Gur’ev, A.M., Lygdenov, B.D., Makharov, D.M., Mosorov, V.I., Chernykh, E.V., Gur’eva, O.A., and Ivanov, S.G., Distinctive features of diffusion layer structure formation on cast steel during thermochemical processing, Fundam. Probl. Sovrem. Materialoved., 2005, no. 1, pp. 39–41.
Goncharov, V.A., Azanova, I.V., and Vasekin, B.V., A model for nonequilibrium solidification for numerically solving problems related to melt growth of semiconductor crystals, Izv. Vyssh. Uchebn. Zaved., Elektron., 2010, no. 5, pp. 5–14.
Budak, B.M., Solov’ev, E.N., and Uspenskii, A.B., Coefficient smoothing difference method for solving Stefan problems, Zh. Vychisl. Mat. Mat. Fiz., 1964, vol. 5, no. 5, pp. 828–840.
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Original Russian Text © Yu.P. Kirillov, L.A. Kuznetsov, V.A. Shaposhnikov, M.F. Churbanov, 2015, published in Neorganicheskie Materialy, 2015, Vol. 51, No. 11, pp. 1177–1182.
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Kirillov, Y.P., Kuznetsov, L.A., Shaposhnikov, V.A. et al. Effect of diffusion on the purification of substances by distillation. Inorg Mater 51, 1092–1096 (2015). https://doi.org/10.1134/S0020168515100088
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DOI: https://doi.org/10.1134/S0020168515100088