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Mandal SS, Singh SK, Khan S. Role of site-site interaction on the phase equilibria of multiple-site associating fluids in a functionalized slit pore. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2023; 35:475402. [PMID: 37549673 DOI: 10.1088/1361-648x/acede1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/12/2023] [Accepted: 08/07/2023] [Indexed: 08/09/2023]
Abstract
Vapor-liquid phase equilibria for multiple sites associating fluids with different associating strengths are investigated in a slit pore using grand-canonical transition matrix Monte Carlo method. The increase of critical temperature from two-site to four-site associating fluids at constant site strength is quite significant as compared to that of the one-site to two-site associating fluids, which is more pronounced at higher associating strength (ϵ* = 6). Monomer fraction and cluster size distribution are used to investigate the association of fluid particles in coexistence phases. The monomer fraction for both phases decreases with increased associating sites on the fluid particles due to more site-site interaction with neighboring fluid particles and forming a larger cluster. Therefore, the number of associating sites and their distribution play a vital role in the association of fluid particles. Moreover, the saturation chemical potential changes with the arrangement of the sites. For two-site associating fluids, we observe early vapor-liquid transition when the sites are oppositely placed, and when the sites are placed at 90°, the vapor-liquid transition is observed at the higher chemical potential. Moreover, four-site associating fluids with a square arrangement show early vapor-liquid phase transition, mainly because these arrangements of sites effectively interact with surface sites and the molecules in the next layer.
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Affiliation(s)
- Sashanka Sekhar Mandal
- Department of Chemical & Biochemical Engineering, Indian Institute of Technology Patna, Patna 801103, India
| | - Sudhir Kumar Singh
- Department of Chemical Engineering, Thapar Institute of Engineering and Technology, Patiala 147004, India
| | - Sandip Khan
- Department of Chemical & Biochemical Engineering, Indian Institute of Technology Patna, Patna 801103, India
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Haghmoradi A, Ballal D, Fouad WA, Wang L, Chapman WG. Combination of monovalent and divalent sites on an associating species: Application to water. AIChE J 2021. [DOI: 10.1002/aic.17146] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
Affiliation(s)
- Amin Haghmoradi
- Department of Chemical and Biomolecular Engineering Rice University Houston Texas USA
| | - Deepti Ballal
- Department of Chemical and Biomolecular Engineering Rice University Houston Texas USA
| | - Wael A. Fouad
- Department of Chemical Engineering King Fahd University of Petroleum and Minerals Dhahran Saudi Arabia
| | - Le Wang
- Department of Chemical and Biomolecular Engineering Rice University Houston Texas USA
| | - Walter G. Chapman
- Department of Chemical and Biomolecular Engineering Rice University Houston Texas USA
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3
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Stopper D, Hirschmann F, Oettel M, Roth R. Bulk structural information from density functionals for patchy particles. J Chem Phys 2018; 149:224503. [DOI: 10.1063/1.5064780] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/09/2023] Open
Affiliation(s)
- Daniel Stopper
- Institute for Theoretical Physics, University of Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany
| | - Frank Hirschmann
- Institute for Applied Physics, University of Tübingen, Auf der Morgenstelle 16, 72076 Tübingen, Germany
| | - Martin Oettel
- Institute for Applied Physics, University of Tübingen, Auf der Morgenstelle 16, 72076 Tübingen, Germany
| | - Roland Roth
- Institute for Theoretical Physics, University of Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany
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4
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Zhao Y, Wang Y, Zhong J, Xu Y, Sinton D, Jin Z. Bubble Point Pressures of Hydrocarbon Mixtures in Multiscale Volumes from Density Functional Theory. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2018; 34:14058-14068. [PMID: 30351971 DOI: 10.1021/acs.langmuir.8b02789] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
Accurate characterization of the bubble point pressure of hydrocarbon mixtures under nanoconfinement is crucial to the prediction of ultimate oil recovery and well productivity of shale/tight oil reservoirs. Unlike conventional reservoirs, shale has an extensive network of tiny pores in the range of a few nanometers. In nanopores, the properties of hydrocarbon fluids deviate from those in bulk because of significant surface adsorption. Many previous theoretical works use a conventional equation of state model coupled with capillary pressure to study the nanoconfinement effect. Without including the inhomogeneous molecular density distributions in nanoconfinement, these previous approaches predict only slightly reduced bubble points. In this work, we use density functional theory to study the effect of nanoconfinement on the hydrocarbon mixture bubble point pressure by explicitly considering fluid-surface interactions and inhomogeneous density distributions in nanopores. We find that as system pressure decreases, while lighter components are continuously released from the nanopores, heavier components accumulate within. The bubble point pressure of nanoconfined hydrocarbon mixtures is thus significantly suppressed from the bulk bubble point to below the bulk dew point, in line with our previous experiments. When bulk fluids are in a two-phase, the confined hydrocarbon fluids are in a single liquid-like phase. As pore size increases, bubble point pressure of confined fluids increases and hydrocarbon average density in nanopores approaches the liquid-phase density in bulk when bulk is in a two-phase region. For a finite volume bulk bath, we find that because of the competitive adsorption in nanopores, the bulk bubble point pressure increases in line with a previous experimental work. Our work demonstrates how mixture dynamics and nanopore-bulk partitioning influence phase behavior in nanoconfinement and enables the accurate estimation of hydrocarbon mixture bubble point pressure in shale nanopores.
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Affiliation(s)
- Yinuo Zhao
- School of Mining and Petroleum Engineering, Department of Civil and Environmental Engineering , University of Alberta , Edmonton , Alberta T6G 1H9 , Canada
| | - Yingnan Wang
- School of Mining and Petroleum Engineering, Department of Civil and Environmental Engineering , University of Alberta , Edmonton , Alberta T6G 1H9 , Canada
| | - Junjie Zhong
- Department of Mechanical and Industrial Engineering , University of Toronto , 5 King's College Road , Toronto M5S 3G8 , Ontario , Canada
| | - Yi Xu
- Department of Mechanical and Industrial Engineering , University of Toronto , 5 King's College Road , Toronto M5S 3G8 , Ontario , Canada
| | - David Sinton
- Department of Mechanical and Industrial Engineering , University of Toronto , 5 King's College Road , Toronto M5S 3G8 , Ontario , Canada
| | - Zhehui Jin
- School of Mining and Petroleum Engineering, Department of Civil and Environmental Engineering , University of Alberta , Edmonton , Alberta T6G 1H9 , Canada
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Wang L, Haghmoradi A, Liu J, Xi S, Hirasaki GJ, Miller CA, Chapman WG. Modeling micelle formation and interfacial properties with iSAFT classical density functional theory. J Chem Phys 2018; 146:124705. [PMID: 28388160 DOI: 10.1063/1.4978503] [Citation(s) in RCA: 18] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2023] Open
Abstract
Surfactants reduce the interfacial tension between phases, making them an important additive in a number of industrial and commercial applications from enhanced oil recovery to personal care products (e.g., shampoo and detergents). To help obtain a better understanding of the dependence of surfactantproperties on molecular structure, a classical density functional theory, also known as interfacial statistical associating fluid theory, has been applied to study the effects of surfactant architecture on micelle formation and interfacial properties for model nonionic surfactant/water/oil systems. In this approach, hydrogen bonding is explicitly included. To minimize the free energy, the system minimizes interactions between hydrophobic components and hydrophilic components with water molecules hydrating the surfactant head group. The theory predicts micellar structure, effects of surfactant architecture on critical micelle concentration, aggregation number, and interfacial tension isotherm of surfactant/water systems in qualitative agreement with experimental data. Furthermore, this model is applied to study swollen micelles and reverse swollen micelles that are necessary to understand the formation of a middle-phase microemulsion.
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Affiliation(s)
- Le Wang
- Department of Chemical and Biomolecular Engineering, Rice University, 6100 Main St., Houston, Texas 77005, USA
| | - Amin Haghmoradi
- Department of Chemical and Biomolecular Engineering, Rice University, 6100 Main St., Houston, Texas 77005, USA
| | - Jinlu Liu
- Department of Chemical and Biomolecular Engineering, Rice University, 6100 Main St., Houston, Texas 77005, USA
| | - Shun Xi
- Department of Chemical and Biomolecular Engineering, Rice University, 6100 Main St., Houston, Texas 77005, USA
| | - George J Hirasaki
- Department of Chemical and Biomolecular Engineering, Rice University, 6100 Main St., Houston, Texas 77005, USA
| | - Clarence A Miller
- Department of Chemical and Biomolecular Engineering, Rice University, 6100 Main St., Houston, Texas 77005, USA
| | - Walter G Chapman
- Department of Chemical and Biomolecular Engineering, Rice University, 6100 Main St., Houston, Texas 77005, USA
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Liu J, Wang L, Xi S, Asthagiri D, Chapman WG. Adsorption and Phase Behavior of Pure/Mixed Alkanes in Nanoslit Graphite Pores: An iSAFT Application. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2017; 33:11189-11202. [PMID: 28859477 DOI: 10.1021/acs.langmuir.7b02055] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
The prediction of fluid phase behavior in nanoscale pores is critical for shale gas/oil development. In this work, we use a molecular density functional theory (DFT) to study the effect of molecular size and shape on partitioning to graphite nanopores as a model of shale. Here, interfacial statistical associating fluid theory (iSAFT) is applied to model alkane (C1 - C8) adsorption/desorption/phase behavior in graphite slit pores for both pure fluids and mixtures. The pure component parameters were fit to the bulk saturated liquid density and vapor pressure data in selected temperature ranges. The potential of interaction between the fluid and graphite is modeled with a Steele 10-4-3 potential that is fit to the potential of mean force from single-molecule simulations. Good agreement is found between theory and molecular simulation for the density distributions of pure components in slit pores. The critical properties of methane, ethane, and their mixtures as well as the shift in bubble point and dew point densities were studied, showing good agreement with simulation. The competitive adsorption of mixtures of normal and branched alkanes in graphite pores was also studied. Heavier components more strongly adsorb up to the point that the entropic penalty due to confinement reduces adsorption.
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Affiliation(s)
- Jinlu Liu
- Department of Chemical and Biomolecular Engineering, Rice University , Houston, Texas 77005, United States
| | - Le Wang
- Department of Chemical and Biomolecular Engineering, Rice University , Houston, Texas 77005, United States
| | - Shun Xi
- Department of Chemical and Biomolecular Engineering, Rice University , Houston, Texas 77005, United States
| | - Dilip Asthagiri
- Department of Chemical and Biomolecular Engineering, Rice University , Houston, Texas 77005, United States
| | - Walter G Chapman
- Department of Chemical and Biomolecular Engineering, Rice University , Houston, Texas 77005, United States
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Zhan C, Lian C, Zhang Y, Thompson MW, Xie Y, Wu J, Kent PRC, Cummings PT, Jiang D, Wesolowski DJ. Computational Insights into Materials and Interfaces for Capacitive Energy Storage. ADVANCED SCIENCE (WEINHEIM, BADEN-WURTTEMBERG, GERMANY) 2017; 4:1700059. [PMID: 28725531 PMCID: PMC5515120 DOI: 10.1002/advs.201700059] [Citation(s) in RCA: 83] [Impact Index Per Article: 11.9] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/04/2017] [Revised: 03/25/2017] [Indexed: 05/02/2023]
Abstract
Supercapacitors such as electric double-layer capacitors (EDLCs) and pseudocapacitors are becoming increasingly important in the field of electrical energy storage. Theoretical study of energy storage in EDLCs focuses on solving for the electric double-layer structure in different electrode geometries and electrolyte components, which can be achieved by molecular simulations such as classical molecular dynamics (MD), classical density functional theory (classical DFT), and Monte-Carlo (MC) methods. In recent years, combining first-principles and classical simulations to investigate the carbon-based EDLCs has shed light on the importance of quantum capacitance in graphene-like 2D systems. More recently, the development of joint density functional theory (JDFT) enables self-consistent electronic-structure calculation for an electrode being solvated by an electrolyte. In contrast with the large amount of theoretical and computational effort on EDLCs, theoretical understanding of pseudocapacitance is very limited. In this review, we first introduce popular modeling methods and then focus on several important aspects of EDLCs including nanoconfinement, quantum capacitance, dielectric screening, and novel 2D electrode design; we also briefly touch upon pseudocapactive mechanism in RuO2. We summarize and conclude with an outlook for the future of materials simulation and design for capacitive energy storage.
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Affiliation(s)
- Cheng Zhan
- Department of ChemistryUniversity of CaliforniaRiversideCA92521United States
| | - Cheng Lian
- Department of Chemical and Environmental EngineeringUniversity of CaliforniaRiversideCalifornia92521United States
- State Key Laboratory of Chemical EngineeringEast China University of Science and TechnologyShanghai200237P. R. China
| | - Yu Zhang
- Department of Chemical and Biomolecular EngineeringVanderbilt UniversityNashvilleTennessee37235United States
| | - Matthew W. Thompson
- Department of Chemical and Biomolecular EngineeringVanderbilt UniversityNashvilleTennessee37235United States
| | - Yu Xie
- Center for Nanophase Materials SciencesOak Ridge National LaboratoryOak RidgeTennessee37831United States
| | - Jianzhong Wu
- Department of Chemical and Environmental EngineeringUniversity of CaliforniaRiversideCalifornia92521United States
| | - Paul R. C. Kent
- Center for Nanophase Materials SciencesOak Ridge National LaboratoryOak RidgeTennessee37831United States
- Computer Science and Mathematics DivisionOak Ridge National LaboratoryOak RidgeTennessee37831United States
| | - Peter T. Cummings
- Department of Chemical and Biomolecular EngineeringVanderbilt UniversityNashvilleTennessee37235United States
| | - De‐en Jiang
- Department of ChemistryUniversity of CaliforniaRiversideCA92521United States
| | - David J. Wesolowski
- Chemcial Sciences DivisionOak Ridge National LaboratoryOak RidgeTennessee37831United States
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Haghmoradi A, Wang L, Chapman WG. A density functional theory for association of fluid molecules with a functionalized surface: fluid-wall single and double bonding. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2017; 29:044002. [PMID: 27897149 DOI: 10.1088/1361-648x/29/4/044002] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
In this manuscript we extend Wertheim's two-density formalism beyond its first order to model a system of fluid molecules with a single association site close to a planar hard wall with association sites on its surface in a density functional theory framework. The association sites of the fluid molecules are small enough that they can form only one bond, while the wall association sites are large enough to bond with more than one fluid molecule. The effects of temperature and of bulk fluid and wall site densities on the fluid density profile, extent of association, and competition between single and double bonding of fluid segments at the wall sites versus distance from the wall are presented. The theory predictions are compared with new Monte Carlo simulation results and they are in good agreement. The theory captures the surface coverage over wide ranges of temperature and bulk density by introducing the effect of steric hindrance in fluid association at a wall site.
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Affiliation(s)
- Amin Haghmoradi
- Chemical and Biomolecular Engineering Department, Rice University, Houston, TX, USA
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Evans R, Oettel M, Roth R, Kahl G. New developments in classical density functional theory. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2016; 28:240401. [PMID: 27115564 DOI: 10.1088/0953-8984/28/24/240401] [Citation(s) in RCA: 49] [Impact Index Per Article: 6.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
Affiliation(s)
- Robert Evans
- H H Wills Physics Laboratory, University of Bristol, Bristol BS8 1TL, UK. Institut für Angewandte Physik, Universität Tübingen, 72076 Tübingen, Germany. Institut für Theoretische Physik, Universität Tübingen, 72076 Tübingen, Germany. Institute for Theoretical Physics, Technische Universität Wien, Wiedner Hauptstraße 8-10, A-1040 Wien, Austria
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