Abstract
A method for the determination of vapor–liquid phase diagram structure of five-component systems based on the analysis of types and Poincare indexes of singular points of the geometric scan and full structure of the concentration simplex is proposed. Validity of the proposed method was demonstrated by vapor–liquid equilibrium modeling in five-component mixtures: ethanol + water + toluene + butanol + chlorbenzene and acetone + chloroform + ethanol + cyclohexane + water.
References
Blagov, S., & Hasse, H. (2002). Topological analysis of vaporliquid equilibrium diagrams for distillation process design. Physical Chemistry Chemical Physics, 4, 896—908. 10.1039/b109541b.Search in Google Scholar
Hopf, H. (1927). Vektorfelder in n-dimensionalen Mannigfaltigkeiten. Mathematische Annalen, 96, 225—249. 10.1007/bf01209164.Search in Google Scholar
Gurikov, Yu. V. (1958). Some questions concerning the structure of two-phase vapor—liquid equilibrium diagrams of ternary homogeneous solutions. Russian Journal of Physical Chemistry, 32, 1980—1996. (in Russian)Search in Google Scholar
Kolyuchkina, G. Ya. (1988). The research in the field of separation of heteroazeotropic mixtures. PhD thesis. Moscow Institute of Fine Chemical Technology, Moscow, Russia. (in Russian)Search in Google Scholar
Matsuyama, H., & Nishimura, H. (1977). Topological and thermodynamic classification of ternary vapor–liquid equilibria. Journal of Chemical Engineering of Japan, 10, 181—187. 10.1252/jcej.10.181.Search in Google Scholar
Ogorodnikov, S. K., Lesteva, T. M., & Kogan, V. B. (1971). Azeotropic mixtures. Leningrad, Russia: Khimia. (in Russian)Search in Google Scholar
Petlyuk, F. B., Kievski, V. Ya., & Serafimov, L. A. (1975). Thermodynamic and topological analysis of the phase diagram of polyazeotropic mixtures. II. Algorithm for construction of structural graphs for azeotropic ternary mixtures. Russian Journal of Physical Chemistry, 69, 3105—3108. (in Russian)Search in Google Scholar
Petlyuk, F. B., Kievski, V. Ya., & Serafimov, L. A. (1977). Thermodynamic-topological analysis of VLE diagrams for multicomponent mixtures. III. Algorithm of structure graph drawing for four-component mixtures. Russian Journal of Physical Chemistry, 71, 315—318. (in Russian)Search in Google Scholar
Safrit, B. T., & Westerberg, A. W. (1997). Algorithm for generating the distillation regions for azeotropic multicomponent mixtures. Industrial & Engineering Chemistry Research, 36, 1827—1840. 10.1021/ie960344r.Search in Google Scholar
Serafimov, L. A. (1968). The azeotropic rule and the classification of multicomponent mixtures. III. Distribution of singular points in the phase diagram for liquid—vapor equilibrium in four-component mixtures. Russian Journal of Physical Chemistry, 42, 132—135. (in Russian)Search in Google Scholar
Serafimov, L. A. (1969). The azeotropic rule and the classification of multicomponent mixtures. V. Analysis of liquid—vapor phase equilibrium diagrams for quaternary mixtures. Russian Journal of Physical Chemistry, 43, 749—751. (in Russian)Search in Google Scholar
Serafimov, L. A. (1970). The azeotropic rule and the classification of multicomponent mixtures. VII. Diagrams for ternary mixtures. Russian Journal of Physical Chemistry, 44, 567— 571. (in Russian)Search in Google Scholar
Serafimov, L. A. (1987). Thermodynamic topological analysis and the separation of multicomponent polyazeotropic mixtures. Theoretical Foundations of Chemical Engineering, 21, 44—54.Search in Google Scholar
Serafimov, L. A. (1996). Thermodynamic and topological analysis of liquid—vapor phase equilibrium diagrams and problems of rectification of multicomponent mixtures. In S. I. Kuchanov (Ed.), Mathematical method in contemporary chemistry (chapter 10, pp. 557-603). Philadelphia, PA, USA: Gordon and Breach Publishers.Search in Google Scholar
Serafimov, L. A., Frolkova, A. V., Medvedev, D. V., & Semin, G. A. (2012). Determining the structure of the distillation line diagram from its geometric development for four-component mixtures. Theoretical Foundations of Chemical Engineering, 46, 120-127. 10.1134/s0040579512020108.Search in Google Scholar
Serafimov, L. A., Frolkova, A. V., & Semin, G. A. (2014). The determination of phase diagram structure of five-component system on the basis of its geometric scan. In 10-th International Conference on Distillation & Absorption 2014, September 14-17, 2014 (P 8.6). Friedrichshafen, Germany: DECHEMA.Search in Google Scholar
Zharov, V. T., & Serafimov, L. A. (1975). Physico-chemical foundations of simple distillation and rectification. Leningrad, Russia: Khimia. (in Russian)Search in Google Scholar
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