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Ricci E, Minelli M, De Angelis MG. Modelling Sorption and Transport of Gases in Polymeric Membranes across Different Scales: A Review. MEMBRANES 2022; 12:857. [PMID: 36135877 PMCID: PMC9502097 DOI: 10.3390/membranes12090857] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/29/2022] [Revised: 08/24/2022] [Accepted: 08/27/2022] [Indexed: 06/02/2023]
Abstract
Professor Giulio C. Sarti has provided outstanding contributions to the modelling of fluid sorption and transport in polymeric materials, with a special eye on industrial applications such as membrane separation, due to his Chemical Engineering background. He was the co-creator of innovative theories such as the Non-Equilibrium Theory for Glassy Polymers (NET-GP), a flexible tool to estimate the solubility of pure and mixed fluids in a wide range of polymers, and of the Standard Transport Model (STM) for estimating membrane permeability and selectivity. In this review, inspired by his rigorous and original approach to representing membrane fundamentals, we provide an overview of the most significant and up-to-date modeling tools available to estimate the main properties governing polymeric membranes in fluid separation, namely solubility and diffusivity. The paper is not meant to be comprehensive, but it focuses on those contributions that are most relevant or that show the potential to be relevant in the future. We do not restrict our view to the field of macroscopic modelling, which was the main playground of professor Sarti, but also devote our attention to Molecular and Multiscale Hierarchical Modeling. This work proposes a critical evaluation of the different approaches considered, along with their limitations and potentiality.
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Affiliation(s)
- Eleonora Ricci
- Department of Civil, Chemical, Environmental and Materials Engineering (DICAM), Alma Mater Studiorum—University of Bologna, 40126 Bologna, Italy
| | - Matteo Minelli
- Department of Civil, Chemical, Environmental and Materials Engineering (DICAM), Alma Mater Studiorum—University of Bologna, 40126 Bologna, Italy
| | - Maria Grazia De Angelis
- Institute for Materials and Processes, School of Engineering, University of Edinburgh, Edinburgh EH9 3FB, UK
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Sorption of CO2/CH4 mixtures in TZ-PIM, PIM-1 and PTMSP: Experimental data and NELF-model analysis of competitive sorption and selectivity in mixed gases. J Memb Sci 2019. [DOI: 10.1016/j.memsci.2019.05.026] [Citation(s) in RCA: 32] [Impact Index Per Article: 6.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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Ricci E, De Angelis MG. Modelling Mixed-Gas Sorption in Glassy Polymers for CO₂ Removal: A Sensitivity Analysis of the Dual Mode Sorption Model. MEMBRANES 2019; 9:membranes9010008. [PMID: 30621225 PMCID: PMC6359057 DOI: 10.3390/membranes9010008] [Citation(s) in RCA: 31] [Impact Index Per Article: 6.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 10/31/2018] [Revised: 11/29/2018] [Accepted: 12/20/2018] [Indexed: 11/16/2022]
Abstract
In an effort to reduce the experimental tests required to characterize the mixed-gas solubility and solubility-selectivity of materials for membrane separation processes, there is a need for reliable models which involve a minimum number of adjustable parameters. In this work, the ability of the Dual Mode Sorption (DMS) model to represent the sorption of CO2/CH4 mixtures in three high free volume glassy polymers, poly(trimethylsilyl propyne) (PTMSP), the first reported polymer of intrinsic microporosity (PIM-1) and tetrazole-modified PIM-1 (TZ-PIM), was tested. The sorption of gas mixtures in these materials suitable for CO2 separation has been characterized experimentally in previous works, which showed that these systems exhibit rather marked deviations from the ideal pure-gas behavior, especially due to competitive effects. The accuracy of the DMS model in representing the non-idealities that arise during mixed-gas sorption was assessed in a wide range of temperatures, pressures and compositions, by comparing with the experimental results available. Using the parameters obtained from the best fit of pure-gas sorption isotherms, the agreement between the mixed-gas calculations and the experimental data varied greatly in the different cases inspected, especially in the case of CH4 absorbed in mixed-gas conditions. A sensitivity analysis revealed that pure-gas data can be represented with the same accuracy by several different parameter sets, which, however, yield markedly different mixed-gas predictions, that, in some cases, agree with the experimental data only qualitatively. However, the multicomponent calculations with the DMS model yield more reliable results than the use of pure-gas data in the estimation of the solubility-selectivity of the material.
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Affiliation(s)
- Eleonora Ricci
- Department of Civil, Chemical, Environmental and Materials Engineering, University of Bologna, 40131, Bologna, Italy.
| | - Maria Grazia De Angelis
- Department of Civil, Chemical, Environmental and Materials Engineering, University of Bologna, 40131, Bologna, Italy.
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Ricci E, Minelli M, De Angelis MG. A multiscale approach to predict the mixed gas separation performance of glassy polymeric membranes for CO 2 capture: the case of CO 2 /CH 4 mixture in Matrimid ®. J Memb Sci 2017. [DOI: 10.1016/j.memsci.2017.05.068] [Citation(s) in RCA: 18] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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McDonnell MT, Greeley DA, Kit KM, Keffer DJ. Molecular Dynamics Simulations of Hydration Effects on Solvation, Diffusivity, and Permeability in Chitosan/Chitin Films. J Phys Chem B 2016; 120:8997-9010. [DOI: 10.1021/acs.jpcb.6b05999] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/20/2023]
Affiliation(s)
- Marshall T. McDonnell
- Department of Chemical and Biomolecular
Engineering,
and ‡Department of Materials
Science and Engineering, University of Tennessee, Knoxville, Tennessee 37996, United States
| | - Duncan A. Greeley
- Department of Chemical and Biomolecular
Engineering,
and ‡Department of Materials
Science and Engineering, University of Tennessee, Knoxville, Tennessee 37996, United States
| | - Kevin M. Kit
- Department of Chemical and Biomolecular
Engineering,
and ‡Department of Materials
Science and Engineering, University of Tennessee, Knoxville, Tennessee 37996, United States
| | - David J. Keffer
- Department of Chemical and Biomolecular
Engineering,
and ‡Department of Materials
Science and Engineering, University of Tennessee, Knoxville, Tennessee 37996, United States
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Abstract
This review discusses a macroscopic thermodynamic procedure to calculate the solubility of gases, vapors, and liquids in glassy polymers that is based on the general procedure provided by the nonequilibrium thermodynamics for glassy polymers (NET-GP) method. Several examples are presented using various nonequilibrium (NE) models including lattice fluid (NELF), statistical associating fluid theory (NE-SAFT), and perturbed hard sphere chain (NE-PHSC). Particular applications illustrate the calculation of infinite-dilution solubility coefficients in different glassy polymers and the prediction of solubility isotherms for different gases and vapors in pure polymers as well as in polymer blends. The determination of model parameters is discussed, and the predictive abilities of the models are illustrated. Attention is also given to the solubility of gas mixtures and solubility isotherms in nanocomposite mixed matrices. The fractional free volume determined from solubility data can be used to correlate solute diffusivities in mixed matrices.
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Affiliation(s)
| | - Giulio C. Sarti
- Dipartimento di Ingegneria Chimica, Mineraria e delle Tecnologie Ambientali, Università di Bologna, 40131 Bologna, Italy
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De Angelis MG, Boulougouris GC, Theodorou DN. Prediction of Infinite Dilution Benzene Solubility in Linear Polyethylene Melts via the Direct Particle Deletion Method. J Phys Chem B 2010; 114:6233-46. [DOI: 10.1021/jp910132j] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022]
Affiliation(s)
- Maria Grazia De Angelis
- Dipartimento di Ingegneria Chimica, Mineraria e delle Tecnologie Ambientali, Università di Bologna Via Terracini, 28 40131 Bologna, Italy, Department of Materials Science and Engineering, School of Chemical Engineering, National Technical University of Athens, 9 Heroon Polytechniou Street, Zografou Campus, GR-15780 Athens, Greece, and Department of Chemical Engineering, University of Patras, Caratheodory 1, University Campus, GR-26500 Patras, Greece
| | - Georgios C. Boulougouris
- Dipartimento di Ingegneria Chimica, Mineraria e delle Tecnologie Ambientali, Università di Bologna Via Terracini, 28 40131 Bologna, Italy, Department of Materials Science and Engineering, School of Chemical Engineering, National Technical University of Athens, 9 Heroon Polytechniou Street, Zografou Campus, GR-15780 Athens, Greece, and Department of Chemical Engineering, University of Patras, Caratheodory 1, University Campus, GR-26500 Patras, Greece
| | - Doros N. Theodorou
- Dipartimento di Ingegneria Chimica, Mineraria e delle Tecnologie Ambientali, Università di Bologna Via Terracini, 28 40131 Bologna, Italy, Department of Materials Science and Engineering, School of Chemical Engineering, National Technical University of Athens, 9 Heroon Polytechniou Street, Zografou Campus, GR-15780 Athens, Greece, and Department of Chemical Engineering, University of Patras, Caratheodory 1, University Campus, GR-26500 Patras, Greece
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Özal TA, Peter C, Hess B, van der Vegt NFA. Modeling Solubilities of Additives in Polymer Microstructures: Single-Step Perturbation Method Based on a Soft-Cavity Reference State. Macromolecules 2008. [DOI: 10.1021/ma702329q] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/22/2023]
Affiliation(s)
- Tugba A. Özal
- Max Planck Institute for Polymer Research, Ackermannweg 10, D-55128 Mainz, Germany
| | - Christine Peter
- Max Planck Institute for Polymer Research, Ackermannweg 10, D-55128 Mainz, Germany
| | - Berk Hess
- Max Planck Institute for Polymer Research, Ackermannweg 10, D-55128 Mainz, Germany
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