Abstract
Transformation of the velocity and concentration profiles in a diffusion boundary layer in the presence of a transverse mass flow through the interface complicates the use of widely known phenomenological relationships in the description of diffusion mass flows. Taking this into consideration, a new formulation of the mass-transfer equation has been proposed that adequately describes the mass transfer in binary and multicomponent mixtures. It has been shown that the new structure of the mass-transfer equation is in good agreement with the experimental data for a large variety of separation processes in the gas (vapor)–liquid systems (evaporation, condensation, distillation, etc.), as well as with the similarity criteria specially introduced for taking into consideration transverse mass flows. The versatility and adequacy of the proposed configuration of the mass-transfer equation has been proved.
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References
Kafarov, V.V., Osnovy massoperedachi (Fundamentals of Mass Transfer), Moscow: Vysshaya Shkola, 1972.
Ramm, V.M., Absorbtsiya gazov (Gas Absorption), Moscow: Khimiya, 1976.
Kvashnin, S.Ya., Baklachyan, R.A., Lotkhov, V.A., Kulov, N.N., and Malyusov, V.A., Kinetics of the distillation of binary systems in film columns, Teor. Osn. Khim. Tekhnol., 2003, vol. 37, no. 3, p.265.
Serafimov, L.A. and Timoshenko, A.V., Mass-transfer equation in multicomponent mixtures, Theor. Found. Chem. Eng., 2005, vol. 39, no. 3, p.316.
Dil’man, V.V., Combined method for studying and calculating the multicomponent diffusion in a mixture with an inert gas, Theor. Found. Chem. Eng., 2008, vol. 42, no. 2, p.166.
Dil’man, V.V., Lotkhov, V.A., and Kashirskaya, O.A., Experimental verification of the Stefan–Maxwell equations, Theor. Found. Chem. Eng., 2009, vol. 43, no. 3, p.288.
Dil’man, V.V., Stefan–Maxwell concentration relationships for three-component diffusion in gas mixtures, Theor. Found. Chem. Eng., 2010, vol. 44, no. 3, p.254.
Dil’man, V.V., Kashirskaya, O.A., and Lotkhov, V.A., Specific features of multicomponent diffusion, Theor. Found. Chem. Eng., 2010, vol. 44, no. 4, p.379.
Telyakov, E.S., Nizamov, I.I., Tarenko, B.I., Bikmurzin, A.R., and Osipova, L.E., Multicomponent diffusion in gas mixtures, Theor. Found. Chem. Eng., 2013, vol. 47, no. 4, p.330.
Ulyanov, B.A., Semenov, I.A., and Kulov, N.N., Efficiency of mass transfer trays with allowance made for nonequimolar counterdiffusion, Theor. Found. Chem. Eng., 2011, vol. 45, no. 5, p.575.
Ponikarov, A.S., Osipova, L.E., and Telyakov, E.S., Nonequimolar mass transfer in gas (vapor)–liquid systems, Theor. Found. Chem. Eng., 2015, vol. 49, no. 3, p.261.
Pavlov, K.F., Romankov, P.G., and Noskov, A.A., Primery i zadachi po kursu protsessov i apparatov khimicheskoi tekhnologii (Examples and Problems on the Course of Chemical Engineering Processes and Apparatuses), Leningrad: Khimiya, 1987, 10th ed.
Isachenko, V.P., Osipova, V.A., and Sukomel, A.S., Teploperedacha (Heat Transfer), Moscow: Energoizdat, 1981.
Aleksandrov, I.A., Massoperedacha pri rektifikatsii i absorbtsii mnogokomponentnykh smesei (Mass Transfer in Distillation and Absorption of Multicomponent Mixtures), Leningrad: Khimiya, 1975.
Konstantinov, E.N. and Nikolaev, A.M., Mass transfer in the distillation of multicomponent mixtures, Izv. Vyssh. Uchebn. Zaved., Neft’ Gaz, 1964, no. 1, p.53.
Colburn, A.P. and Drew, T.B., The condensation of mixed vapour, Trans. Am. Inst. Chem. Eng., 1937, vol. 33, p.197.
Spolding, D.B., Konvektivnyi massoperenos (Convective Mass Transfer), Moscow: Energiya, 1965.
Cairns, R.S. and Roper, G.H., The evaporation of water into air steam in a long wetted wall column, Chem. Eng. Sci., 1954, vol. 3, no. 3, p.97.
Asano, K. and Fujita, S., Mass transfer for a wide range of driving force evaporation of pure liquids, Chem. Eng. Sci., 1971, vol. 26, no. 8, p. 1187.
Berman, L.D., Effect of the nonuniformity of a steamgas mixture on mass transfer in evaporation and condensation, Teor. Osn. Khim. Tekhnol., 1976, vol. 10, no. 6, p.81.
Konstantinov, E.N. and Kuznechikov, V.A., Mathematical model of turbulent mass transfer in a multicomponent mixture, Theor. Found. Chem. Eng., 1975, vol. 9, no. 2, p.149.
Kallas, Yu.I. and Siirde, E.K., The simple distillation process in a film apparatus, Theor. Found. Chem. Eng., 1974, vol. 8, no. 2, p.264.
Kallas, Yu.I., Study of continuous distillation in a film apparatus, Cand. Sci. (Eng.) Dissertation, Tallinn: TPI, 1972.
Telyakov, E.Sh. and Nikolaev, A.M., Method of determining the individual heights of transfer unis in the rectification process, Theor. Found. Chem. Eng., 1969, vol. 3, no. 6, p. 709.
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Original Russian Text © E.Sh. Telyakov, L.E. Osipova, A.S. Ponikarov, 2018, published in Teoreticheskie Osnovy Khimicheskoi Tekhnologii, 2018, Vol. 52, No. 1, pp. 13–25.
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Telyakov, E.S., Osipova, L.E. & Ponikarov, A.S. Kinetics of Nonequimolar Mass Transfer in Multicomponent Gas (Vapor)–Liquid Systems. Theor Found Chem Eng 52, 11–23 (2018). https://doi.org/10.1134/S0040579518010177
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DOI: https://doi.org/10.1134/S0040579518010177