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Shcherbakova N, Gerbaud V, Roger K. Using the Intrinsic Geometry of Binodal Curves to Simplify the Computation of Ternary Liquid-Liquid Phase Diagrams. ENTROPY (BASEL, SWITZERLAND) 2023; 25:1329. [PMID: 37761628 PMCID: PMC10529189 DOI: 10.3390/e25091329] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/29/2023] [Revised: 08/30/2023] [Accepted: 09/11/2023] [Indexed: 09/29/2023]
Abstract
Phase diagrams are powerful tools to understand the multi-scale behaviour of complex systems. Yet, their determination requires in practice both experiments and computations, which quickly becomes a daunting task. Here, we propose a geometrical approach to simplify the numerical computation of liquid-liquid ternary phase diagrams. We show that using the intrinsic geometry of the binodal curve, it is possible to formulate the problem as a simple set of ordinary differential equations in an extended 4D space. Consequently, if the thermodynamic potential, such as Gibbs free energy, is known from an experimental data set, the whole phase diagram, including the spinodal curve, can be easily computed. We showcase this approach on four ternary liquid-liquid diagrams, with different topological properties, using a modified Flory-Huggins model. We demonstrate that our method leads to similar or better results comparing those obtained with other methods, but with a much simpler procedure. Acknowledging and using the intrinsic geometry of phase diagrams thus appears as a promising way to further develop the computation of multiphase diagrams.
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Ascani M, Sadowski G, Held C. Simultaneous Predictions of Chemical and Phase Equilibria in Systems with an Esterification Reaction Using PC-SAFT. Molecules 2023; 28:molecules28041768. [PMID: 36838768 PMCID: PMC9965742 DOI: 10.3390/molecules28041768] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/30/2022] [Revised: 02/10/2023] [Accepted: 02/11/2023] [Indexed: 02/16/2023] Open
Abstract
The study of chemical reactions in multiple liquid phase systems is becoming more and more relevant in industry and academia. The ability to predict combined chemical and phase equilibria is interesting from a scientific point of view but is also crucial to design innovative separation processes. In this work, an algorithm to perform the combined chemical and liquid-liquid phase equilibrium calculation was implemented in the PC-SAFT framework in order to predict the thermodynamic equilibrium behavior of two multicomponent esterification systems. Esterification reactions involve hydrophobic reacting agents and water, which might cause liquid-liquid phase separation along the reaction coordinate, especially if long-chain alcoholic reactants are used. As test systems, the two quaternary esterification systems starting from the reactants acetic acid + 1-pentanol and from the reactants acetic acid + 1-hexanol were chosen. It is known that both quaternary systems exhibit composition regions of overlapped chemical and liquid-liquid equilibrium. To the best of our knowledge, this is the first time that PC-SAFT was used to calculate simultaneous chemical and liquid-liquid equilibria. All the binary subsystems were studied prior to evaluating the predictive capability of PC-SAFT toward the simultaneous chemical equilibria and phase equilibria. Overall, PC-SAFT proved its excellent capabilities toward predicting chemical equilibrium composition in the homogeneous composition range of the investigated systems as well as liquid-liquid phase behavior. This study highlights the potential of a physical sound model to perform thermodynamic-based modeling of chemical reacting systems undergoing liquid-liquid phase separation.
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Mendis NP, Wang J, Lakerveld R. A Workflow for Crystallization Process Design with Simultaneous Process Optimization and Solvent Selection based on the Perturbed‐Chain Statistical Associating Fluid Theory. CHEM-ING-TECH 2023. [DOI: 10.1002/cite.202200123] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/18/2023]
Affiliation(s)
- Nethrue Pramuditha Mendis
- The Hong Kong University of Science and Technology Department of Chemical and Biological Engineering Clear Water Bay Hong Kong China
| | - Jiayuan Wang
- Zhejiang University of Technology School of Chemical Engineering 310014 Hang Zhou China
| | - Richard Lakerveld
- The Hong Kong University of Science and Technology Department of Chemical and Biological Engineering Clear Water Bay Hong Kong China
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An Overview of the Application of Harmony Search for Chemical Engineering Optimization. INTERNATIONAL JOURNAL OF CHEMICAL ENGINEERING 2022. [DOI: 10.1155/2022/1928343] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
Abstract
Harmony search algorithm and its variants have been used in several applications in medicine, telecommunications, computer science, and engineering. This article reviews the global and multi-objective optimization for chemical engineering using harmony search. The main features of the HS method and several of its popular variants and hybrid versions including their relevant algorithm characteristics are described and discussed. A variety of global and multi-objective optimization problems from chemical engineering and their resolution using HS-based methods are also included. These problems involve thermodynamic calculations (phase stability analysis, phase equilibrium calculations, parameter estimation, and azeotrope calculation), heat exchanger design, distillation simulation, life cycle analysis, and water distribution systems, among others. Remarks on future developments of HS and its related algorithms for global and multi-objective optimization in chemical engineering are also provided in this review. HS is a reliable and promising stochastic optimizer to resolve challenging global and multi-objective optimization problems for process systems engineering.
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Sánchez-Ramírez E, Huerta-Rosas B, Quiroz-Ramírez JJ, Suárez-Toriello VA, Contreras-Zarazua G, Segovia-Hernández JG. Optimization-based framework for modeling and kinetic parameter estimation. Chem Eng Res Des 2022. [DOI: 10.1016/j.cherd.2022.08.040] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/03/2022]
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6
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Mendis NP, Wang J, Lakerveld R. Simultaneous Solvent Selection and Process Design for Continuous Reaction–Extraction–Crystallization Systems. Ind Eng Chem Res 2022. [DOI: 10.1021/acs.iecr.1c05012] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Nethrue Pramuditha Mendis
- Department of Chemical and Biological Engineering, The Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong, China
| | - Jiayuan Wang
- School of Chemical Engineering, Zhejiang University of Technology, Hangzhou 310014, China
| | - Richard Lakerveld
- Department of Chemical and Biological Engineering, The Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong, China
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Song Z, Zhou T, Qi Z, Sundmacher K. Extending the UNIFAC model for ionic liquid–solute systems by combining experimental and computational databases. AIChE J 2019. [DOI: 10.1002/aic.16821] [Citation(s) in RCA: 29] [Impact Index Per Article: 5.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/21/2022]
Affiliation(s)
- Zhen Song
- Process Systems Engineering Max Planck Institute for Dynamics of Complex Technical Systems Magdeburg Germany
- Process Systems Engineering Otto‐von‐Guericke University Magdeburg Magdeburg Germany
| | - Teng Zhou
- Process Systems Engineering Max Planck Institute for Dynamics of Complex Technical Systems Magdeburg Germany
- Process Systems Engineering Otto‐von‐Guericke University Magdeburg Magdeburg Germany
| | - Zhiwen Qi
- Max Planck Partner Group at the State Key Laboratory of Chemical Engineering School of Chemical Engineering, East China University of Science and Technology Shanghai China
| | - Kai Sundmacher
- Process Systems Engineering Max Planck Institute for Dynamics of Complex Technical Systems Magdeburg Germany
- Process Systems Engineering Otto‐von‐Guericke University Magdeburg Magdeburg Germany
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8
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Belov GV. Determining the Phase Composition of Complex Thermodynamic Systems. RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY A 2019. [DOI: 10.1134/s0036024419060074] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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9
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Design of bio-oil additives via computer-aided molecular design tools and phase stability analysis on final blends. Comput Chem Eng 2019. [DOI: 10.1016/j.compchemeng.2019.01.008] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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10
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Liang X. Numerical Aspects of Phase Equilibrium Calculations with the Cubic and Association Models. Ind Eng Chem Res 2018. [DOI: 10.1021/acs.iecr.8b03956] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Xiaodong Liang
- Center for Energy Resources Engineering (CERE), Department of Chemical and Biochemical Engineering, Technical University of Denmark, 2800 Kgs. Lyngby, Denmark
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11
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Sidky H, Liddell AC, Mehta D, Hauenstein JD, Whitmer JK. Algebraic Geometric Method for Calculating Phase Equilibria from Fundamental Equations of State. Ind Eng Chem Res 2016. [DOI: 10.1021/acs.iecr.6b02597] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Hythem Sidky
- Department
of Chemical and Biomolecular Engineering and ‡Department of Applied and Computational
Mathematics and Statistics, University of Notre Dame, Notre Dame, Indiana 46556, United States
| | - Alan C. Liddell
- Department
of Chemical and Biomolecular Engineering and ‡Department of Applied and Computational
Mathematics and Statistics, University of Notre Dame, Notre Dame, Indiana 46556, United States
| | - Dhagash Mehta
- Department
of Chemical and Biomolecular Engineering and ‡Department of Applied and Computational
Mathematics and Statistics, University of Notre Dame, Notre Dame, Indiana 46556, United States
| | - Jonathan D. Hauenstein
- Department
of Chemical and Biomolecular Engineering and ‡Department of Applied and Computational
Mathematics and Statistics, University of Notre Dame, Notre Dame, Indiana 46556, United States
| | - Jonathan K. Whitmer
- Department
of Chemical and Biomolecular Engineering and ‡Department of Applied and Computational
Mathematics and Statistics, University of Notre Dame, Notre Dame, Indiana 46556, United States
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Skiborowski M, Bausa J, Marquardt W. A Unifying Approach for the Calculation of Azeotropes and Pinch Points in Homogeneous and Heterogeneous Mixtures. Ind Eng Chem Res 2016. [DOI: 10.1021/acs.iecr.6b01303] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Mirko Skiborowski
- Department
of Biochemical and Chemical Engineering, Laboratory of Fluid Separations, TU Dortmund University, 44227 Dortmund, Germany
- AVT
- Process System Engineering, RWTH Aachen University, 52064 Aachen, Germany
| | - Jürgen Bausa
- AVT
- Process System Engineering, RWTH Aachen University, 52064 Aachen, Germany
| | - Wolfgang Marquardt
- AVT
- Process System Engineering, RWTH Aachen University, 52064 Aachen, Germany
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13
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Sidky H, Whitmer JK, Mehta D. Reliable mixture critical point computation using polynomial homotopy continuation. AIChE J 2016. [DOI: 10.1002/aic.15319] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
Affiliation(s)
- Hythem Sidky
- Dept. of Chemical and Biomolecular Engineering; University of Notre Dame; Notre Dame IN 46556
| | - Jonathan K. Whitmer
- Dept. of Chemical and Biomolecular Engineering; University of Notre Dame; Notre Dame IN 46556
| | - Dhagash Mehta
- Dept. of Chemical and Biomolecular Engineering; University of Notre Dame; Notre Dame IN 46556
- Dept. of Applied and Computational Mathematics and Statistics; University of Notre Dame; Notre Dame IN 46556
- Centre for the Subatomic Structure of Matter, Dept. of Physics, School of Physical Sciences; University of Adelaide; Adelaide South Australia 5005 Australia
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Application of the bio-inspired Krill Herd optimization technique to phase equilibrium calculations. Comput Chem Eng 2015. [DOI: 10.1016/j.compchemeng.2014.12.008] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022]
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15
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Khalil AME, Fateen SEK, Bonilla-Petriciolet A. Gravitational Search, Monkey, and Krill Herd Swarm Algorithms for Phase Stability, Phase Equilibrium, and Chemical Equilibrium Problems. CHEM ENG COMMUN 2015. [DOI: 10.1080/00986445.2015.1004666] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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17
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On the effectiveness of nature-inspired metaheuristic algorithms for performing phase equilibrium thermodynamic calculations. ScientificWorldJournal 2014; 2014:374510. [PMID: 24967430 PMCID: PMC4055435 DOI: 10.1155/2014/374510] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/27/2014] [Accepted: 04/30/2014] [Indexed: 11/21/2022] Open
Abstract
The search for reliable and efficient global optimization algorithms for solving phase stability and phase equilibrium problems in applied thermodynamics is an ongoing area of research. In this study, we evaluated and compared the reliability and efficiency of eight selected nature-inspired metaheuristic algorithms for solving difficult phase stability and phase equilibrium problems. These algorithms are the cuckoo search (CS), intelligent firefly (IFA), bat (BA), artificial bee colony (ABC), MAKHA, a hybrid between monkey algorithm and krill herd algorithm, covariance matrix adaptation evolution strategy (CMAES), magnetic charged system search (MCSS), and bare bones particle swarm optimization (BBPSO). The results clearly showed that CS is the most reliable of all methods as it successfully solved all thermodynamic problems tested in this study. CS proved to be a promising nature-inspired optimization method to perform applied thermodynamic calculations for process design.
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Fateen SEK, Bonilla-Petriciolet A. Unconstrained Gibbs Free Energy Minimization for Phase Equilibrium Calculations in Nonreactive Systems, Using an Improved Cuckoo Search Algorithm. Ind Eng Chem Res 2014. [DOI: 10.1021/ie5016574] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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19
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Elnabawy AO, Fateen SEK, Bonilla-Petriciolet A. Phase Stability Analysis and Phase Equilibrium Calculations in Reactive and Nonreactive Systems Using Charged System Search Algorithms. Ind Eng Chem Res 2014. [DOI: 10.1021/ie403123b] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
| | | | - Adrian Bonilla-Petriciolet
- Department
of Chemical Engineering, Instituto Tecnológico de Aguascalientes, Aguascalientes 20256, México
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20
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Ivanov BB, Galushko AA, Stateva RP. Phase Stability Analysis with Equations of State—A Fresh Look from a Different Perspective. Ind Eng Chem Res 2013. [DOI: 10.1021/ie401072x] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Boyan B. Ivanov
- Institute of Chemical Engineering,
Bulgarian Academy
of Sciences, 1113 Sofia, Bulgaria
| | - Anatolii A. Galushko
- Institute of Chemical Engineering,
Bulgarian Academy
of Sciences, 1113 Sofia, Bulgaria
| | - Roumiana P. Stateva
- Institute of Chemical Engineering,
Bulgarian Academy
of Sciences, 1113 Sofia, Bulgaria
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21
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Skiborowski M, Harwardt A, Marquardt W. Conceptual Design of Distillation-Based Hybrid Separation Processes. Annu Rev Chem Biomol Eng 2013; 4:45-68. [DOI: 10.1146/annurev-chembioeng-061010-114129] [Citation(s) in RCA: 77] [Impact Index Per Article: 7.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Abstract
Hybrid separation processes combine different separation principles and constitute a promising design option for the separation of complex mixtures. Particularly, the integration of distillation with other unit operations can significantly improve the separation of close-boiling or azeotropic mixtures. Although the design of single-unit operations is well understood and supported by computational methods, the optimal design of flowsheets of hybrid separation processes is still a challenging task. The large number of operational and design degrees of freedom requires a systematic and optimization-based design approach. To this end, a structured approach, the so-called process synthesis framework, is proposed. This article reviews available computational methods for the conceptual design of distillation-based hybrid processes for the separation of liquid mixtures. Open problems are identified that must be addressed to finally establish a structured process synthesis framework for such processes.
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Affiliation(s)
- Mirko Skiborowski
- Aachener Verfahrenstechnik, Process Systems Engineering, RWTH Aachen University, Aachen, 52064 Germany;, ,
| | - Andreas Harwardt
- Aachener Verfahrenstechnik, Process Systems Engineering, RWTH Aachen University, Aachen, 52064 Germany;, ,
| | - Wolfgang Marquardt
- Aachener Verfahrenstechnik, Process Systems Engineering, RWTH Aachen University, Aachen, 52064 Germany;, ,
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22
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Evaluation of Covariance Matrix Adaptation Evolution Strategy, Shuffled Complex Evolution and Firefly Algorithms for phase stability, phase equilibrium and chemical equilibrium problems. Chem Eng Res Des 2012. [DOI: 10.1016/j.cherd.2012.04.011] [Citation(s) in RCA: 41] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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