Abstract
Various methods of calculation of the number of independent variables (degrees of freedom) are analyzed for chemical-engineering objects, including continuous distillation columns with different organizations of external flows and auxiliary equipments. The number of degrees of freedom is demonstrated to be invariant with respect to the type of calculation for the distillation process (design, confirmatory, or designconfirmatory calculation).
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Gilliland, S.R. and Reed, C.F., Degrees of Freedom in Multicomponent Absorption and Rectification Columns, Ind. Eng. Chem., 1942, vol. 34, no. 5, pp. 551–557.
Gibbs, J.W., Termodinamika: Statisticheskaya mekhanika (Thermodynamics: Statistical Mechanics), Moscow: Nauka, 1982.
Serafimov, L.A., Degrees of Freedom of Thermodynamic Systems, Uch. Zap. MITKhT, 1999, issue 1, pp. 4–12; 2000, issue 2, pp. 13–14.
Benedek, P. and Laszlo, A., Grundlagen des Chemieingenieurwesens, Leipzig: Grundstoffindustrie, 1967.
Kwauk, M., Specification of Design Variables, AIChE J., 1956, vol. 2, pp. 240–250.
Kwauk, M., Specification of Design Variables, in Equilibrium-Stage Separation Operations in Chemical Engineering by Henley, E.J. and Seader J.D., New York: Wiley, 1956, pp. 239–269.
Seader, J.D. and Henley, E.J., Separation Process Principles, New York: Wiley, 1998, pp. 163–271.
Hanson, D.N., Duffin, J.H., and Somerville, G.F., Computation of Multistage Separation Processes, New York: Reinhold, 1962, ch. 1.
Smith, B., Design of Equilibrium Stage Processes, New York: McGraw-Hill, 1963, ch. 3, pp. 120–138.
Henley, E.J. and Staffin, H.K., Stagewise Process Design, New York: Wiley, 1963.
Korzhinskii, D.S., Phase Rule and Systems with Quite Mobile Components, Dokl. Akad. Nauk SSSR, 1949, vol. 1, no. 3, pp. 361–364.
Palatnik, L.S. and Landau, A.I., Fazovye ravnovesiya v mnogokomponentnykh sistemakh (Phase Equilibria in Multicomponent Systems), Kharkov: Khar’kov. Gos. Univ., 1963.
Storonkin, A.V., Termodinamika geterogennykh sistem (Thermodynamics of Heterogeneous Systems), Leningrad: Leningr. Gos. Univ., 1967, parts I, II.
Petlyuk, F.B. and Serafimov, L.A., Mnogokomponentnaya rektifikatsiya: Teoriya i raschet (Multicomponent Distillation: Theory and Design), Moscow: Khimiya, 1983.
Underwood, A.J., Fractional Distillation of Ternary Mixtures, J. Inst. Petrol., 1954, vol. 31, no. 256, pp. 111–117.
Acrivos, A. and Amundson, N.R., On Steady State Fractionation of Multicomponent and Complex Mixture in Ideal Cascade, Eng. bg Sci, 1955, vol. 4, pp. 29–41.
Kolokol’nikov, A.G., Zhvanetskii, I.B., and Platonov, V.M., Analysis of Minimum-Reflux Distillation in a Two-Section Column, Teor. Osn. Khim. Tekhnol., 1980, vol. 14, no. 3, pp. 323–330.
Kolokol’nikov, A.G., Zhvanetskii, I.B., Platonov, V.M., and Slin’ko, M.G., Substantiation and Development of Underwood’s Method, Dokl. Akad. Nauk SSSR, 1980, vol. 255, no. 5, pp. 1200–1203.
Kolokol’nikov, A.G., Zhvanetskii, I.B., Platonov, V.M., and Slin’ko, M.G., Independence of the Minimum Reflux Ratio in a Two-Section Column of the Feed Introduction Model, Dokl. Akad. Nauk SSSR, 1981, vol. 264, no. 3, pp. 656–660.
Kolokol’nikov, A.G., Meskhi, G.A., and Platonov, V.M., Mathematical Model of a Couterflow Mass-Transfer Section with an Infinite Number of Separation Stages, Teor. Osn. Khim. Tekhnol., 1986, vol. 20, no. 2, pp. 136–149.
Danilov, R.Yu., Petlyuk, F.B., and Serafimov, L.A., Minimum-Reflux Regime of Simple Distillation Columns, Teor. Osn. Khim. Tekhnol., 2007, vol. 41, no. 4, pp. 394–407 [Theor. Found. Chem. Eng. (Engl. Transl.), vol. 41, p. 371–383].
Sverchinskii, B.S. and Serafimov, L.A., Calculating the Minimum Reflux Ratio, Teor. Osn. Khim. Tekhnol.,1970, vol. 4, no. 5, pp. 619–626.
Levy, S.G., van Dongen, D.B., and Doherty, M.F., Design and Synthesis of Homogenous Azeotropic Distillation: 2. Minimum Reflux Calculation for Nonideal and Azeotropic Columns, Ind. Eng. Chem. Fundam., 1987, vol. 24, pp. 463–475.
Julka, V. and Dohertv, M.F., Geometric Behavior and Minimum Flows for Nonideal Multicomponent Distillation, Chem. Eng. Sci., 1990, vol. 45, pp. 1801–1822.
Holland, Ch.D., Multicomponent Distillation, Englewood Cliffs, N.J.: Prentice-Hall, 1963.
L’vov, S.V., Nekotorye voprosy rektifikatsii binarnykh i mnogokomponentnykh smesei (Topics in the Distillation of Binary and Multicomponent Mixtures), Moscow: Akad. Nauk SSSR, 1960.
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Original Russian Text © A.K. Frolkova,L.A. Khakhin, 2009, published in Khimicheskaya Tekhnologiya, 2009, Vol. 10, No. 4, pp. 237–245.
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Frolkova, A.K., Khakhin, L.A. Determination of the number of degrees of freedom for chemical-engineering objects: Distillation column. Theor Found Chem Eng 44, 604–611 (2010). https://doi.org/10.1134/S0040579510040445
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DOI: https://doi.org/10.1134/S0040579510040445