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Topological structure of state regions and isothermic-isobaric manifolds for multiphase systems

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Abstract

A general formula is derived for the invariant of the isothermic-isobaric manifold. The structure of the manifold is examined for multiphase systems with various numbers of components.

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References

  1. Bagaturov, S.A.,Peregonka i rektifikatsiya neideal’nykh rastvorov (Distillation and Rectification of Nonideal Solutions), Baku: Aznefteizdat, 1951.

    Google Scholar 

  2. Timofeev, V.S. and Serafimov, L.A., Mathematical Model of Heteroazeotropic Distillation and Basic Distillation-Trajectory Equation,Izv. Vyssh. Uchebn. Zaved., Khim. Khim. Tekhnol, 1973, vol. 16, no. 1, p. 133.

    Google Scholar 

  3. Serafimov, L.A., Timofeev, V.S., and L’vov, S.V., Separation of Butyraldehydes,Khim. Tekhnol. Topl. Mosel, 1964, no. 7, p. 18.

  4. Timofeev, V.S., Beregovykh, V.V., and Serafimov, L.A., Distillation of the Heteroazeotropic Mixture Isobutanol-Water-Isobutyl Acetate,Khim. Prom-st., 1973, no. 3, p. 189.

  5. Münster, A.,Chemische Thermodynamik, Berlin: Akademie, 1969. Translated under the titleKhimicheskaya termodinamika, Moscow: Mir, 1971.

    Google Scholar 

  6. Boshnyakovich, F.,Tekhnicheskaya termodinamika (Engineering Thermodynamics), Moscow: Gosenergoizdat, 1956, vol. 2.

    Google Scholar 

  7. Serafimov, L.A. and Frolkova, A.K., Local Regularities of Phase Diagrams of Multiphase Systems,Teor. Osn. Khim. Tekhnol., 1998, vol. 32, no. 4, p. 388.

    Google Scholar 

  8. Serafimov, L.A., Thermodynamic and Topological Analysis of Liquid-Vapor Phase Equilibrium Diagrams and Problems of Rectification of Multicomponent Mixtures,Mathematical Methods in Contemporary Chemistry, Amsterdam: Gordon & Breach, 1996, p. 557.

    Google Scholar 

  9. Susarev, M.P. and Kudryavtseva, L.S., Composition Regions and Thermal Shift of Ternary Azeotropes,Zh. Fiz. Khim., 1964, vol. 38, no. 1, p. 47.

    CAS  Google Scholar 

  10. Susarev, M.P. and Marinichev, A.N., Differential Equations of the Curves Corresponding to Invariant Distributions of the Components of a Ternary System between the Solution and Ideal Vapor (xi (2) lxi (1) = const). I: Arrangement of the Curves and Location of the Azeotropic Point in the Concentration Triangle,Zh. Fiz. Khim., 1965, vol. 39, no. 8, p. 1970.

    CAS  Google Scholar 

  11. Toikka, A.M. and Susarev, M.P., Composition and Thermal Shift of Ternary Azeotropes. XIV: Stability Conditions and Correlation between the Composition of the n-Component Azeotrope and the Departure of l-Component (l <n) Constituent Systems from Ideality,Zh. Fiz. Khim., 1975, vol. 49, no. 2, p. 489.

    CAS  Google Scholar 

  12. Marinichev, A.N. and Susarev, M.P., Limitations on the Composition of a Quaternary Azeotrope,Zh. Prikl. Khim. (Leningrad), 1978, vol. 51, no. 10, p. 2221.

    CAS  Google Scholar 

  13. Susarev, M.P. and Toikka, A.M., Stability Conditions and Limitations on the Azeotropic Behavior of Multicomponent Mixtures,Voprosy termodinamiki geterogennykh sistem i teorii poverkhnostnykh yavlenii (Thermodynamics of Heterogeneous Systems and Theory of Surface Phenomena), Leningrad: Leningr. Gos. Univ., 1977, issue 4, p. 37.

    Google Scholar 

  14. Francis, A.W.,Liquid-Liquid Equilibrium, New York: Interscience, 1963. Translated under the titleRavnovesie zhidkost’-zhidkost’, Moscow: Khimiya, 1969.

    Google Scholar 

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Frolkova, A.K., Serafimov, L.A. Topological structure of state regions and isothermic-isobaric manifolds for multiphase systems. Theor Found Chem Eng 34, 286–291 (2000). https://doi.org/10.1007/BF02755977

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