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.
Similar content being viewed by others
References
Blagov, S., & Hasse, H. (2002). Topological analysis of vapor–liquid equilibrium diagrams for distillation process design. Physical Chemistry Chemical Physics, 4, 896–908. DOI: 10.1039/b109541b.
Hopf, H. (1927). Vektorfelder in n-dimensionalen Mannig-faltigkeiten. Mathematische Annalen, 96, 225–249. DOI: 10.1007/bf01209164.
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)
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)
Matsuyama, H., & Nishimura, H. (1977). Topological and thermodynamic classification of ternary vapor-liquid equilibria. Journal of Chemical Engineering of Japan, 10, 181–187. DOI: 10.1252/jcej.10.181.
Ogorodnikov, S. K., Lesteva, T. M., & Kogan, V. B. (1971). Azeotropic mixtures. Leningrad, Russia: Khimia. (in Russian)
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)
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)
Safrit, B. T., & Westerberg, A. W. (1997). Algorithm for generating the distillation regions for azeotropic multicomponent mixtures. Industrial & Engineering Chemistry Research, 36, 1827–1840. DOI: 10.1021/ie960344r.
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)
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)
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)
Serafimov, L. A. (1987). Thermodynamic topological analysis and the separation of multicomponent polyazeotropic mixtures. Theoretical Foundations of Chemical Engineering, 21, 44–54.
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.
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. DOI: 10.1134/s0040579512020108.
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.
Zharov, V. T., & Serafimov, L. A. (1975). Physico-chemical foundations of simple distillation and rectification. Leningrad, Russia: Khimia. (in Russian)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Serafimov, L., Frolkova, A. Determination of vapor—liquid equilibrium diagrams of multicomponent systems. Chem. Pap. 70, 1578–1589 (2016). https://doi.org/10.1515/chempap-2016-0091
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1515/chempap-2016-0091