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Yuan T, Sarkisov L. How 2D Nanoflakes Improve Transport in Mixed Matrix Membranes: Insights from a Simple Lattice Model and Dynamic Mean Field Theory. ACS APPLIED MATERIALS & INTERFACES 2024; 16:8184-8195. [PMID: 38308600 PMCID: PMC10875652 DOI: 10.1021/acsami.4c00661] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/12/2024] [Revised: 01/19/2024] [Accepted: 01/19/2024] [Indexed: 02/05/2024]
Abstract
Mixed matrix membranes (MMMs), incorporating graphene and graphene oxide structural fragments, have emerged as promising materials for challenging gas separation processes. What remains unclear is the actual molecular mechanism responsible for the enhanced permeability and perm-selectivity of these materials. With the fully atomistic models still unable to handle the required time and length scales, here, we employ a simple qualitative model based on the lattice representation of the physical system and dynamic mean field theory. We demonstrate that the performance enhancement results from the flux-regularization impact of the 2D nanoflakes and that this effect sensitively depends on the orientation of the nanoflakes and the properties of the interface between the nanoflakes and the polymer.
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Affiliation(s)
- Tianmu Yuan
- Department of Chemical Engineering,
Engineering Building A, The University of
Manchester, Manchester M13 9PL, U.K.
| | - Lev Sarkisov
- Department of Chemical Engineering,
Engineering Building A, The University of
Manchester, Manchester M13 9PL, U.K.
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2
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Suzuki Y, Ishida M, Hata K, Ohba T. Sequential N 2 Adsorption by the Nanopore Entrance Filling Scheme in Nanopores of Carbon Nanotubes. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2023; 39:15431-15440. [PMID: 37862693 DOI: 10.1021/acs.langmuir.3c01415] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/22/2023]
Abstract
The adsorption dynamics and mechanism of nitrogen molecules in 1-7 nm carbon nanotubes (CNTs) at 77 K were investigated by experiments and molecular dynamics simulations. The adsorbed nitrogen amount rapidly increased in 7 nm CNTs, while it gradually increased in 1 and 3 nm CNTs. The gradual increase in 3 nm CNTs was unexpected because of the presence of sufficient adsorption sites and the weak adsorption potential of nitrogen. The molecular dynamics simulations indicated that molecules were condensed in the entrance of nanopores after monolayer adsorption in 3 nm CNTs and monolayer and bilayer adsorption in 5 nm CNTs, called nanopore entrance filling. The proposed adsorption mechanism of nitrogen molecules in CNT nanopores is as follows: first, layer-by-layer adsorption occurs on monolayer sites, followed by preferential adsorption at the nanopore entrance. Consequently, preadsorbed molecules form a fluidic pore neck similar to an ink-bottle pore. Then, newly adsorbed molecules are condensed on the fluidic pore neck, and condensed molecules in the nanopore entrance finally move into the inner part of the nanopore. The proposed sequential adsorption mechanism via nanopore entrance filling without pore blocking starkly differs from micropore filling in micropores and layer-by-layer adsorption associated with capillary condensation in mesopores.
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Affiliation(s)
- Yuka Suzuki
- Graduate school of Science, Chiba University, 1-33 Yayoi, Inage, Chiba 263-8522, Japan
| | - Masaya Ishida
- Graduate school of Science, Chiba University, 1-33 Yayoi, Inage, Chiba 263-8522, Japan
| | - Kenji Hata
- AIST Tsukuba, Central 5, 1-1-1 Higashi, Tsukuba, Ibaraki 305-8565, Japan
| | - Tomonori Ohba
- Graduate school of Science, Chiba University, 1-33 Yayoi, Inage, Chiba 263-8522, Japan
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3
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Yuan T, Sarkisov L. Lattice Model of Fluid Transport in Mixed Matrix Membranes. ADVANCED THEORY AND SIMULATIONS 2022. [DOI: 10.1002/adts.202200159] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Affiliation(s)
- Tianmu Yuan
- Department of Chemical Engineering The University of Manchester Manchester M1 3AL UK
| | - Lev Sarkisov
- Department of Chemical Engineering The University of Manchester Manchester M1 3AL UK
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Kikkinides ES, Gkogkos G, Monson PA, Valiullin R. Connecting dynamic pore filling mechanisms with equilibrium and out of equilibrium configurations of fluids in nanopores. J Chem Phys 2022; 156:134702. [PMID: 35395874 DOI: 10.1063/5.0087249] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
In the present study, using dynamic mean field theory complemented by grand canonical molecular dynamics simulations, we investigate the extent to which the density distributions encountered during the dynamics of capillary condensation are related to those distributions at equilibrium or metastable equilibrium in a system at fixed average density (canonical ensemble). We find that the states encountered can be categorized as out of equilibrium or quasi-equilibrium based on the magnitude of the driving force for mass transfer. More specifically, in open-ended slit pores, pore filling via double bridging is an out of equilibrium process, induced by the dynamics of the system, while pore filling by single bridge formation is connected to a series of configurations that are equilibrium configurations in the canonical ensemble and that cannot be observed experimentally by a standard adsorption process, corresponding to the grand canonical ensemble. Likewise, in closed cap slits, the formation of a liquid bridge near the pore opening and its subsequent growth while the initially detached meniscus from the capped end remains immobilized are out of equilibrium processes that occur at large driving forces. On the other hand, at small driving forces, there is a continuous acceleration of the detached meniscus from the capped end, which is associated with complete reversibility in the limit of an infinitesimally small driving force.
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Affiliation(s)
- E S Kikkinides
- Department of Chemical Engineering, Aristotle University of Thessaloniki, Thessaloniki, Greece
| | - G Gkogkos
- Department of Chemical Engineering, Aristotle University of Thessaloniki, Thessaloniki, Greece
| | - P A Monson
- Department of Chemical Engineering, University of Massachusetts, Amherst, Massachusetts 01003-9303, USA
| | - R Valiullin
- Faculty of Physics and Earth Sciences, Leipzig University, Leipzig, Germany
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Yuan T, Farmahini AH, Sarkisov L. Application of the dynamic mean field theory to fluid transport in slit pores. J Chem Phys 2021; 155:074702. [PMID: 34418941 DOI: 10.1063/5.0060776] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/19/2023] Open
Abstract
We explore the applicability of the lattice model and dynamic mean field theory as a computationally efficient tool to study transport across heterogeneous porous media, such as mixed matrix membranes. As a starting point and to establish some basic definitions of properties analogous to those in the off-lattice systems, we consider transport across simple models of porous materials represented by a slit pore in a chemical potential gradient. Using this simple model, we investigate the distribution of density and flux under steady state conditions, define the permeability across the system, and explore how this property depends on the length of the pore and the solid-fluid interactions. Among other effects, we observe that the flux in the system goes through a maximum as the solid-fluid interaction is varied from weak to strong. This effect is dominated by the behavior of the fluid near the walls and is also confirmed by off-lattice molecular dynamics simulations. We further extend this study to explore transport across heterogeneous slit pore channels composed of two solids with different values of solid-fluid interaction strengths. We demonstrate that the lattice models and dynamic mean field theory provide a useful framework to pose questions on the accuracy and applicability of the classical theories of transport across heterogeneous porous systems.
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Affiliation(s)
- Tianmu Yuan
- The Department of Chemical Engineering and Analytical Science, The University of Manchester, Manchester M13 9PL, United Kingdom
| | - Amir H Farmahini
- The Department of Chemical Engineering and Analytical Science, The University of Manchester, Manchester M13 9PL, United Kingdom
| | - Lev Sarkisov
- The Department of Chemical Engineering and Analytical Science, The University of Manchester, Manchester M13 9PL, United Kingdom
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Kikkinides ES, Monson PA. Dynamic density functional theory with hydrodynamic interactions: Theoretical development and application in the study of phase separation in gas-liquid systems. J Chem Phys 2015; 142:094706. [DOI: 10.1063/1.4913636] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- E. S. Kikkinides
- Department of Mechanical Engineering, University of Western Macedonia, 50100 Kozani, Greece and Chemical Process and Energy Resources Institute (CPERI), Centre for Research and Technology Hellas (CERTH), 57001 Thermi-Thessaloniki, Greece
| | - P. A. Monson
- Department of Chemical Engineering, University of Massachusetts, 159 Goessmann Laboratory, 686 North Pleasant Street, Amherst, Massachusetts 01003-9303, USA
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Casselman JA, Desouza A, Monson PA. Modelling the dynamics of condensation and evaporation of fluids in three-dimensional slit pores. Mol Phys 2015. [DOI: 10.1080/00268976.2015.1009954] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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Schneider D, Valiullin R, Monson PA. Modeling the influence of side stream and ink bottle structures on adsorption/desorption dynamics of fluids in long pores. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2015; 31:188-198. [PMID: 25486536 DOI: 10.1021/la503482j] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/04/2023]
Abstract
We apply dynamic mean field theory to study relaxation dynamics for lattice models of fluids confined in linear pores with side streams and with ink bottle structures. Our results show several mechanisms for how the pore structure affects the dynamics, and these are amplified in longer pores. An important conclusion of this work is that features such as side streams and ink bottle segments can substantially slow the equilibration of fluids confined in long pore systems where the pore lengths can be more than 100 micrometers, such as in porous silicon. This may make it difficult to properly equilibrate these systems for states close to those where the pores should be completely filled with liquids. The presence of trapped bubbles in the system may change the desorption characteristics of the system and the shape of the hysteresis loops.
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Affiliation(s)
- Daniel Schneider
- Institute of Experimental Physics I, University of Leipzig , 04103 Leipzig, Germany
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Edison JR, Monson PA. Dynamic mean field theory for lattice gas models of fluids confined in porous materials: Higher order theory based on the Bethe-Peierls and path probability method approximations. J Chem Phys 2014; 141:024706. [DOI: 10.1063/1.4884456] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- John R. Edison
- Department of Chemical Engineering, University of Massachusetts, Amherst, Massachusetts 01003-9303, USA
| | - Peter A. Monson
- Department of Chemical Engineering, University of Massachusetts, Amherst, Massachusetts 01003-9303, USA
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Doan QT, Lefèvre G, Hurisse O, Coudert FX. Adsorption in complex porous networks with geometrical and chemical heterogeneity. MOLECULAR SIMULATION 2013. [DOI: 10.1080/08927022.2013.844344] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
Affiliation(s)
- Quang-Tri Doan
- Chimie ParisTech & CNRS, UMR 7575, 11 rue Pierre et Marie Curie, 75005, Paris, France
| | - Grégory Lefèvre
- Chimie ParisTech & CNRS, UMR 7575, 11 rue Pierre et Marie Curie, 75005, Paris, France
| | - Olivier Hurisse
- EDF R&D, Fluid Dynamics, Power Generation and Environment, 6 quai Watier, 78401, Chatou, France
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Edison JR, Monson PA. Dynamic mean field theory for lattice gas models of fluid mixtures confined in mesoporous materials. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2013; 29:13808-13820. [PMID: 24102541 DOI: 10.1021/la4030537] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/02/2023]
Abstract
We present the extension of dynamic mean field theory (DMFT) for fluids in porous materials (Monson, P. A. J. Chem. Phys. 2008, 128, 084701) to the case of mixtures. The theory can be used to describe the relaxation processes in the approach to equilibrium or metastable equilibrium states for fluids in pores after a change in the bulk pressure or composition. It is especially useful for studying systems where there are capillary condensation or evaporation transitions. Nucleation processes associated with these transitions are emergent features of the theory and can be visualized via the time dependence of the density distribution and composition distribution in the system. For mixtures an important component of the dynamics is relaxation of the composition distribution in the system, especially in the neighborhood of vapor-liquid interfaces. We consider two different types of mixtures, modeling hydrocarbon adsorption in carbon-like slit pores. We first present results on bulk phase equilibria of the mixtures and then the equilibrium (stable/metastable) behavior of these mixtures in a finite slit pore and an inkbottle pore. We then use DMFT to describe the evolution of the density and composition in the pore in the approach to equilibrium after changing the state of the bulk fluid via composition or pressure changes.
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Affiliation(s)
- J R Edison
- Department of Chemical Engineering, University of Massachusetts , 159 Goessmann Laboratory, Amherst, Massachusetts 01003, United States
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Edison JR, Monson PA. Dynamics of capillary condensation in lattice gas models of confined fluids: A comparison of dynamic mean field theory with dynamic Monte Carlo simulations. J Chem Phys 2013; 138:234709. [DOI: 10.1063/1.4811111] [Citation(s) in RCA: 18] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Jamadagni SN, Godawat R, Garde S. Hydrophobicity of proteins and interfaces: insights from density fluctuations. Annu Rev Chem Biomol Eng 2012; 2:147-71. [PMID: 22432614 DOI: 10.1146/annurev-chembioeng-061010-114156] [Citation(s) in RCA: 170] [Impact Index Per Article: 14.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Abstract
Macroscopic characterizations of hydrophobicity (e.g., contact angle measurements) do not extend to the surfaces of proteins and nanoparticles. Molecular measures of hydrophobicity of such surfaces need to account for the behavior of hydration water. Theory and state-of-the-art simulations suggest that water density fluctuations provide such a measure; fluctuations are enhanced near hydrophobic surfaces and quenched with increasing surface hydrophilicity. Fluctuations affect conformational equilibria and dynamics of molecules at interfaces. Enhanced fluctuations are reflected in enhanced cavity formation, more favorable binding of hydrophobic solutes, increased compressibility of hydration water, and enhanced water-water correlations at hydrophobic surfaces. These density fluctuation-based measures can be used to develop practical methods to map the hydrophobicity/philicity of heterogeneous surfaces including those of proteins. They highlight that the hydrophobicity of a group is context dependent and is significantly affected by its environment (e.g., chemistry and topography) and especially by confinement. The ability to include information about hydration water in mapping hydrophobicity is expected to significantly impact our understanding of protein-protein interactions as well as improve drug design and discovery methods and bioseparation processes.
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Affiliation(s)
- Sumanth N Jamadagni
- The Howard P. Isermann Department of Chemical and Biological Engineering, Rensselaer Polytechnic Institute, Troy, NY 12180, USA.
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Leoni F, Kierlik E, Rosinberg ML, Tarjus G. Spontaneous imbibition in disordered porous solids: a theoretical study of helium in silica aerogels. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2011; 27:8160-8170. [PMID: 21657217 DOI: 10.1021/la201146h] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/30/2023]
Abstract
We present a theoretical study of spontaneous imbibition of liquid (4)He in silica aerogels focusing on the effect of porosity on the fluid dynamical behavior. We adopt a coarse-grained three-dimensional lattice-gas description like in previous studies of gas adsorption and capillary condensation and use a dynamical mean-field theory, assuming that capillary disorder predominates over permeability disorder as in recent phase-field models of spontaneous imbibition. Our results reveal a remarkable connection between imbibition and adsorption as also suggested by recent experiments. The imbibition front is always preceded by a precursor film, and the classical Lucas-Washburn √t scaling law is generally recovered, although some deviations may exist at large porosity. Moreover, the interface roughening is modified by wetting and confinement effects. Our results suggest that the interpretation of the recent experiments should be revised.
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Affiliation(s)
- F Leoni
- GIT-SPEC, CEA Saclay, 91191 Gif-sur-Yvette Cedex, France
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Kierlik E, Leoni F, Rosinberg M, Tarjus G. Spontaneous imbibition in a slit pore: a lattice–gas dynamic mean field study. Mol Phys 2011. [DOI: 10.1080/00268976.2011.552443] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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16
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Modelling relaxation processes for fluids in porous materials using dynamic mean field theory: application to pore networks. ADSORPTION 2011. [DOI: 10.1007/s10450-011-9321-y] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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Monson P. Fluids Confined in Porous Materials: Towards a Unified Understanding of Thermodynamics and Dynamics. CHEM-ING-TECH 2011. [DOI: 10.1002/cite.201000181] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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