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Yu Y, Sun C, Jiang W. A comprehensive study of pharmaceutics solubility in supercritical solvent through diverse thermodynamic and hybrid Machine learning approaches. Int J Pharm 2024; 664:124579. [PMID: 39137821 DOI: 10.1016/j.ijpharm.2024.124579] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/14/2024] [Revised: 07/20/2024] [Accepted: 08/09/2024] [Indexed: 08/15/2024]
Abstract
The pharmaceutical industry is increasingly drawn to the research of innovative drug delivery systems through the use of supercritical CO2 (scCO2)-based techniques. Measuring the solubility of drugs in scCO2 at varying conditions is a crucial parameter in this context. In this research, the supercritical solubility of two pharmaceutical ingredients, namely Febuxostat and Chlorpromazine, has been assessed theoretically using various thermodynamic approaches, including PR, SRK, UNIQUAC, and Wilson models. Additionally, hybrid machine learning models of PO-GPR, and PO-KNN were applied to anticipate the supercritical solubility of these medicines. Verification of the accuracy of each model for each pharmaceutical substance is conducted against previously reported experimental solubility data. In the comparison between the SRK and PR models, it is observed that the SRK model displays greater precision in correlating the solubility of both drugs. It consistently achieves a mean Radj value of 0.995 across all cases and mean AARD% values of 14.47 and 9.30 for Febuxostat and Chlorpromazine, respectively. Furthermore, the findings indicate that the UNIQUAC model surpasses the Wilson model in precisely representing the solubility of both medicines. It consistently achieves a mean Radj value higher than 0.985 across both cases and mean AARD% values of 11.39 and 7.08 for Febuxostat and Chlorpromazine, respectively. Additionally, the performance of both hybrid machine learning models proved to be excellent in anticipating the supercritical solubility of both compounds.
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Affiliation(s)
- Yang Yu
- Pharmacy Department, Shandong University Qilu Hospital (Qingdao), Shandong, 266035, China
| | - Chen Sun
- Pharmacy Department of Qingdao Municipal Hospital (Group), Shandong, 266035, China
| | - Wenxiao Jiang
- Sports Medicine Department, Shandong University Qilu Hospital (Qingdao), Shandong, 266035, China.
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2
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Chaparro G, Müller EA. Development of thermodynamically consistent machine-learning equations of state: Application to the Mie fluid. J Chem Phys 2023; 158:2890032. [PMID: 37161943 DOI: 10.1063/5.0146634] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/15/2023] [Accepted: 04/24/2023] [Indexed: 05/11/2023] Open
Abstract
A procedure for deriving thermodynamically consistent data-driven equations of state (EoS) for fluids is presented. The method is based on fitting the Helmholtz free energy using artificial neural networks to obtain a closed-form relationship between the thermophysical properties of fluids (FE-ANN EoS). As a proof-of-concept, an FE-ANN EoS is developed for the Mie fluids, starting from a database obtained by classical molecular dynamics simulations. The FE-ANN EoS is trained using first- (pressure and internal energy) and second-order (e.g., heat capacities, Joule-Thomson coefficients) derivative data. Additional constraints ensure that the data-driven model fulfills thermodynamically consistent limits and behavior. The results for the FE-ANN EoS are shown to be as accurate as the best available analytical model while being developed in a fraction of the time. The robustness of the "digital" equation of state is exemplified by computing physical behavior it has not been trained on, for example, fluid phase equilibria. Furthermore, the model's internal consistency is successfully assessed using Brown's characteristic curves.
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Affiliation(s)
- Gustavo Chaparro
- Department of Chemical Engineering, Sargent Centre for Process Systems Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom
| | - Erich A Müller
- Department of Chemical Engineering, Sargent Centre for Process Systems Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom
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3
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Paricaud P. Multipolar SAFT-VR Mie Equation of State: Predictions of Phase Equilibria in Refrigerant Systems with No Binary Interaction Parameter. J Phys Chem B 2023; 127:3052-3070. [PMID: 36977318 DOI: 10.1021/acs.jpcb.3c01058] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/30/2023]
Abstract
An extension of the SAFT-VR Mie equation of state is proposed to predict the properties of multipolar fluids. The new model, referred to as multipolar M-SAFT-VR Mie, incorporates the general multipolar term developed by Gubbins and co-workers, which accounts for dipole-dipole, quadrupole-quadrupole, and dipole-quadrupole interactions. A modification of the third order terms in the perturbation theory results in an accurate description of the simulation data for multipolar Lennard-Jones fluids. Both the M-SAFT-VR Mie and polar soft-SAFT models are extended to account for polarizability, and a good agreement is obtained with molecular simulation data. The M-SAFT-VR Mie model is applied to refrigerant systems, and it is found that including both dipole and quadrupole moments in molecular models leads to more accurate results than using only a dipole moment. The new model provides excellent predictions of the vapor-liquid equilibria of zeotropic and azeotropic refrigerant mixtures without the need for binary interaction parameters, making it a valuable tool for formulating low-GWP working fluids.
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Affiliation(s)
- Patrice Paricaud
- UCP, ENSTA Paris, Institut Polytechnique de Paris, 828 Boulevard des Maréchaux, 91120 Palaiseau, France
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4
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Rehner P, Bauer G, Gross J. FeO s: An Open-Source Framework for Equations of State and Classical Density Functional Theory. Ind Eng Chem Res 2023. [DOI: 10.1021/acs.iecr.2c04561] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 03/11/2023]
Affiliation(s)
- Philipp Rehner
- Energy and Process Systems Engineering, Department of Mechanical and Process Engineering, ETH Zurich, Tannenstrasse 3, Zurich 8092, Switzerland
| | - Gernot Bauer
- Institute of Thermodynamics and Thermal Process Engineering, University of Stuttgart, Pfaffenwaldring 9, Stuttgart 70569, Germany
| | - Joachim Gross
- Institute of Thermodynamics and Thermal Process Engineering, University of Stuttgart, Pfaffenwaldring 9, Stuttgart 70569, Germany
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5
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Ushiki I, Miyajima A, Fujimitsu R, Takishima S. Modeling cobalt (III) acetylacetonate and iron (III) acetylacetonate solubilities in supercritical CO2 with PC-SAFT based on experimentally-determined solid–liquid equilibria in organic solvents. J Supercrit Fluids 2023. [DOI: 10.1016/j.supflu.2023.105882] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/24/2023]
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6
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Vapor-liquid equilibria calculations for components of natural gas using Huron-Vidal mixing rules. BRAZILIAN JOURNAL OF CHEMICAL ENGINEERING 2023. [DOI: 10.1007/s43153-023-00301-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/31/2023]
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7
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Bell IH, Deiters UK. Superancillary Equations for Nonpolar Pure Fluids Modeled with the PC-SAFT Equation of State. Ind Eng Chem Res 2023. [DOI: 10.1021/acs.iecr.2c02916] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/24/2023]
Affiliation(s)
- Ian H. Bell
- Applied Chemicals and Materials Division, National Institute of Standards and Technology, Boulder, Colorado80305, United States
| | - Ulrich K. Deiters
- Institute of Physical Chemistry, University of Cologne, 50939Köln, Germany
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8
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Yang Y, Che Ruslan MFA, Narayanan Nair AK, Qiao R, Sun S. Interfacial properties of the hexane + carbon dioxide + water system in the presence of hydrophilic silica. J Chem Phys 2022; 157:234704. [PMID: 36550045 DOI: 10.1063/5.0130986] [Citation(s) in RCA: 4] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022] Open
Abstract
Molecular dynamics simulations were conducted to study the interfacial behavior of the CO2 + H2O and hexane + CO2 + H2O systems in the presence of hydrophilic silica at geological conditions. Simulation results for the CO2 + H2O and hexane + CO2 + H2O systems are in reasonable agreement with the theoretical predictions based on the density functional theory. In general, the interfacial tension (IFT) of the CO2 + H2O system exponentially (linearly) decreased with increasing pressure (temperature). The IFTs of the hexane + CO2 + H2O (two-phase) system decreased with the increasing mole fraction of CO2 in the hexane/CO2-rich phase xCO2 . Here, the negative surface excesses of hexane lead to a general increase in the IFTs with increasing pressure. The effect of pressure on these IFTs decreased with increasing xCO2 due to the positive surface excesses of carbon dioxide. The simulated water contact angles of the CO2 + H2O + silica system fall in the range from 43.8° to 76.0°, which is in reasonable agreement with the experimental results. These contact angles increased with pressure and decreased with temperature. Here, the adhesion tensions are influenced by the variations in fluid-fluid IFT and contact angle. The simulated water contact angles of the hexane + H2O + silica system fall in the range from 58.0° to 77.0° and are not much affected by the addition of CO2. These contact angles increased with pressure, and the pressure effect was less pronounced at lower temperatures. Here, the adhesion tensions are mostly influenced by variations in the fluid-fluid IFTs. In all studied cases, CO2 molecules could penetrate into the interfacial region between the water droplet and the silica surface.
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Affiliation(s)
- Yafan Yang
- State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China
| | - Mohd Fuad Anwari Che Ruslan
- Physical Science and Engineering Division (PSE), Computational Transport Phenomena Laboratory, King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Saudi Arabia
| | - Arun Kumar Narayanan Nair
- Physical Science and Engineering Division (PSE), Computational Transport Phenomena Laboratory, King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Saudi Arabia
| | - Rui Qiao
- Department of Mechanical Engineering, Virginia Tech, Blacksburg, Virginia 24061, USA
| | - Shuyu Sun
- Physical Science and Engineering Division (PSE), Computational Transport Phenomena Laboratory, King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Saudi Arabia
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9
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Mairhofer J, Stavrou M. A Multi‐Criteria Study of Optimal Working Fluids for High Temperature Heat Pumps. CHEM-ING-TECH 2022. [DOI: 10.1002/cite.202200106] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
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10
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Theoretical and experimental study on Chloroquine drug solubility in supercritical carbon dioxide via the thermodynamic, multi-layer perceptron neural network (MLPNN), and molecular modeling. ARAB J CHEM 2022. [DOI: 10.1016/j.arabjc.2022.104371] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022] Open
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11
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Stavrou M, Hoeller J, Seidel T, Mairhofer J, Asprion N. Simultaneous Optimization of Process Design and Solvent in a Flowsheet Simulator. CHEM-ING-TECH 2022. [DOI: 10.1002/cite.202200100] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
Affiliation(s)
- Marina Stavrou
- Chemical and Process Engineering BASF SE 67056 Ludwigshafen Germany
| | - Johannes Hoeller
- Fraunhofer ITWM Optimization Department 67663 Kaiserslautern Germany
| | - Tobias Seidel
- Fraunhofer ITWM Optimization Department 67663 Kaiserslautern Germany
| | - Jonas Mairhofer
- Chemical and Process Engineering BASF SE 67056 Ludwigshafen Germany
| | - Norbert Asprion
- Chemical and Process Engineering BASF SE 67056 Ludwigshafen Germany
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12
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Solubility measurement of the fludrocortisone acetate in supercritical carbon dioxide: Experimental and modeling assessments. J Supercrit Fluids 2022. [DOI: 10.1016/j.supflu.2022.105752] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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13
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Azim MM, Ushiki I, Miyajima A, Takishima S. Estimating the solubility of salsalate in supercritical CO2 via PC-SAFT modeling using its experimental solubility data in organic solvents. J Supercrit Fluids 2022. [DOI: 10.1016/j.supflu.2022.105725] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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14
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Experimental evaluation and thermodynamic analysis of Febuxostat solubility in supercritical solvent. J Mol Liq 2022. [DOI: 10.1016/j.molliq.2022.120040] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/23/2022]
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15
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Nezbeda I, Klajmon M, Hrubý J. Thermodynamic properties of water from SAFT and CPA equations of state: A comprehensive assessment. J Mol Liq 2022. [DOI: 10.1016/j.molliq.2022.119769] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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16
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Abourehab MA, Alsubaiyel AM, Alshehri S, Alzhrani RM, Almalki AH, Abduljabbar MH, Venkatesan K, Kamal M. Laboratory Determination and Thermodynamic Analysis of Alendronate Solubility in Supercritical Carbon Dioxide. J Mol Liq 2022. [DOI: 10.1016/j.molliq.2022.120242] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/14/2022]
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17
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Burre J, Kabatnik C, Al-Khatib M, Bongartz D, Jupke A, Mitsos A. Global flowsheet optimization for reductive dimethoxymethane production using data-driven thermodynamic models. Comput Chem Eng 2022. [DOI: 10.1016/j.compchemeng.2022.107806] [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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18
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Jiřiště L, Klajmon M. Predicting the Thermodynamics of Ionic Liquids: What to Expect from PC-SAFT and COSMO-RS? J Phys Chem B 2022; 126:3717-3736. [PMID: 35561456 DOI: 10.1021/acs.jpcb.2c00685] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
Two popular thermodynamic modeling frameworks, namely, the PC-SAFT equation of state and the COSMO-RS model, are benchmarked for their performance in predicting the thermodynamic properties of pure ionic liquids (ILs) and the solubility of CO2 in ILs. The ultimate goal is to provide an illustration of what to expect from these frameworks when applied to ILs in a purely predictive way with established parametrization approaches, since the literature generally lacks their mutual comparisons. Two different modeling approaches with respect to the description of the molecular structure of ILs are tested within both models: a cation-anion pair as (i) a single electroneutral supermolecule and (ii) a pair of separately modeled counterions (ion-based approach). In general, we illustrate that special attention should be paid when estimating unknown thermodynamic data of ILs even with these two progressive thermodynamic frameworks. For both PC-SAFT and COSMO-RS, the supermolecule approach generally yields better results for the vapor pressure and the vaporization enthalpy of pure ILs, while the ion-based approach is found to be more suitable for the solubility of CO2. In spite of some shortcomings, COSMO-RS with the supermolecule approach shows the best overall predictive capabilities for the studied properties. The ion-based strategy within both models has significant limitations in the case of the vaporization properties of ILs. In COSMO-RS, these limitations can, to a certain extent, be surpassed by additional quantum mechanical calculations of the ion pairing in the gas phase, while the ion-based PC-SAFT approach still needs a sophisticated improvement to be developed. As an initiating point, we explore one possible and simple route considering a high degree of cross associations between the counterions in the gas phase.
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Affiliation(s)
- Lukáš Jiřiště
- Department of Physical Chemistry, Faculty of Chemical Engineering, University of Chemistry and Technology, Prague, Technická 5, 166 28 Prague 6, Czech Republic
| | - Martin Klajmon
- Department of Physical Chemistry, Faculty of Chemical Engineering, University of Chemistry and Technology, Prague, Technická 5, 166 28 Prague 6, Czech Republic
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19
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Modeling the solubility of non-steroidal anti-inflammatory drugs (ibuprofen and ketoprofen) in supercritical CO2 using PC-SAFT. J Supercrit Fluids 2022. [DOI: 10.1016/j.supflu.2022.105626] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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20
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Development of Soave–Redlich–Kister Equation of State and Vapor–Liquid Equilibrium Modeling For Polar Pure Compounds and Binary Mixtures. J SOLUTION CHEM 2022. [DOI: 10.1007/s10953-022-01150-6] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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21
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Sermoud V, Barbosa G, Soares EDA, de Oliveira L, Pereira M, Arroyo P, Barreto Jr. A, Tavares F. PCP-SAFT Density Functional Theory as a much-improved approach to obtain confined fluid isotherm data applied to sub and supercritical conditions. Chem Eng Sci 2022. [DOI: 10.1016/j.ces.2021.116905] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022]
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22
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Kumar R, Thakur AK, Banerjee N, Chaudhari P. A critical review on the particle generation and other applications of rapid expansion of supercritical solution. Int J Pharm 2021; 608:121089. [PMID: 34530097 DOI: 10.1016/j.ijpharm.2021.121089] [Citation(s) in RCA: 12] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/27/2021] [Revised: 08/29/2021] [Accepted: 09/09/2021] [Indexed: 11/18/2022]
Abstract
The novel particle generation processes of Active Pharmaceutical Ingredient (API)/drug have been extensively explored in recent decades due to their wide-range applications in the pharmaceutical industry. The Rapid Expansion of Supercritical Solutions (RESS) is one of the promising techniques to obtain the fine particles (micro to nano-size) of APIs with narrow particle size distribution (PSD). In RESS, supercritical carbon dioxide (SC CO2) and API are used as solvent and solute respectively. In this literature survey, the application of RESS in the formation of fine particles is critically reviewed. Solubility of API in SC CO2 and supersaturation are the key factors in tuning the particle size. The different approaches to model and predict the solubility of API in SC CO2 are discussed. Then, the effect of process parameters on mean particle size and the particle size distribution are interpreted in the context of solubility and supersaturation. Furthermore, the less-explored applications of RESS in preparation of solid-lipid nanoparticles, liposome, polymorphic conversion, cocrystallization and inclusion complexation are compared with traditional processes. The solubility enhancement of API in SC CO2 using co-solvent and its applications in particle generation are explored in published literature. The development and modifications in the conventional RESS process to overcome the limitations of RESS are presented. Finally, the perspective on RESS with special attention to its commercial operation is highlighted.
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Affiliation(s)
- Rahul Kumar
- Department of Chemical Engineering, University of Petroleum and Energy Studies, Dehradun 248007, Uttarakhand, India.
| | - Amit K Thakur
- Department of Chemical Engineering, University of Petroleum and Energy Studies, Dehradun 248007, Uttarakhand, India
| | - Nilanjana Banerjee
- Department of Chemical Engineering, University of Petroleum and Energy Studies, Dehradun 248007, Uttarakhand, India
| | - Pranava Chaudhari
- Department of Chemical Engineering, University of Petroleum and Energy Studies, Dehradun 248007, Uttarakhand, India
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23
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Stierle R, Gross J. Hydrodynamic density functional theory for mixtures from a variational principle and its application to droplet coalescence. J Chem Phys 2021; 155:134101. [PMID: 34624998 DOI: 10.1063/5.0060088] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/05/2023] Open
Abstract
Dynamic density functional theory (DDFT) allows the description of microscopic dynamical processes on the molecular scale extending classical DFT to non-equilibrium situations. Since DDFT and DFT use the same Helmholtz energy functionals, both predict the same density profiles in thermodynamic equilibrium. We propose a molecular DDFT model, in this work also referred to as hydrodynamic DFT, for mixtures based on a variational principle that accounts for viscous forces as well as diffusive molecular transport via the generalized Maxwell-Stefan diffusion. Our work identifies a suitable expression for driving forces for molecular diffusion of inhomogeneous systems. These driving forces contain a contribution due to the interfacial tension. The hydrodynamic DFT model simplifies to the isothermal multicomponent Navier-Stokes equation in continuum situations when Helmholtz energies can be used instead of Helmholtz energy functionals, closing the gap between micro- and macroscopic scales. We show that the hydrodynamic DFT model, although not formulated in conservative form, globally satisfies the first and second law of thermodynamics. Shear viscosities and Maxwell-Stefan diffusion coefficients are predicted using an entropy scaling approach. As an example, we apply the hydrodynamic DFT model with a Helmholtz energy density functional based on the perturbed-chain statistical associating fluid theory equation of state to droplet and bubble coalescence in one dimension and analyze the influence of additional components on coalescence phenomena.
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Affiliation(s)
- Rolf Stierle
- Institute of Thermodynamics and Thermal Process Engineering, University of Stuttgart, Pfaffenwaldring 9, 70569 Stuttgart, Germany
| | - Joachim Gross
- Institute of Thermodynamics and Thermal Process Engineering, University of Stuttgart, Pfaffenwaldring 9, 70569 Stuttgart, Germany
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24
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Exploring the multiple solutions of the classical density functional theory using metadynamics based method. ADSORPTION 2021. [DOI: 10.1007/s10450-021-00327-7] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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25
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Gonçalves CIS, Silva GM, Ndiaye PM, Tavares FW. Helmholtz Scaling: An Alternative Approach to Calculate Viscosity with the PCP-SAFT Equation of State. Ind Eng Chem Res 2021. [DOI: 10.1021/acs.iecr.1c00837] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Cliff I. S. Gonçalves
- Programa de Engenharia Química—COPPE, Universidade Federal do Rio de Janeiro, C.P. 68542 Rio de Janeiro, Brazil
| | - Gabriel M. Silva
- Escola de Química, Universidade Federal do Rio de Janeiro, C.P. 68542 Rio de Janeiro, Brazil
| | - Papa M. Ndiaye
- Programa de Engenharia Química—COPPE, Universidade Federal do Rio de Janeiro, C.P. 68542 Rio de Janeiro, Brazil
- Escola de Química, Universidade Federal do Rio de Janeiro, C.P. 68542 Rio de Janeiro, Brazil
| | - Frederico W. Tavares
- Programa de Engenharia Química—COPPE, Universidade Federal do Rio de Janeiro, C.P. 68542 Rio de Janeiro, Brazil
- Escola de Química, Universidade Federal do Rio de Janeiro, C.P. 68542 Rio de Janeiro, Brazil
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26
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Jäger A, Breitkopf C, Richter M. The Representation of Cross Second Virial Coefficients by Multifluid Mixture Models and Other Equations of State. Ind Eng Chem Res 2021. [DOI: 10.1021/acs.iecr.1c01186] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Andreas Jäger
- Institute of Power Engineering, Faculty of Mechanical Science and Engineering, Technische Universität Dresden, Helmholtzstraße 14, 01069 Dresden, Germany
| | - Cornelia Breitkopf
- Institute of Power Engineering, Faculty of Mechanical Science and Engineering, Technische Universität Dresden, Helmholtzstraße 14, 01069 Dresden, Germany
| | - Markus Richter
- Applied Thermodynamics, Chemnitz University of Technology, 09107 Chemnitz, Germany
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27
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Alkhatib III, Vega LF. Quantifying the effect of polar interactions on the behavior of binary mixtures: Phase, interfacial, and excess properties. J Chem Phys 2021; 154:164503. [PMID: 33940796 DOI: 10.1063/5.0046034] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022] Open
Abstract
In this work, polar soft-Statistical Associating Fluid Theory (SAFT) was used in a systematic manner to quantify the influence of polar interactions on the phase equilibria, interfacial, and excess properties of binary mixtures. The theory was first validated with available molecular simulation data and then used to isolate the effect of polar interactions on the thermodynamic behavior of the mixtures by fixing the polar moment of one component while changing the polar moment of the second component from non-polar to either highly dipolar or quadrupolar, examining 15 different binary mixtures. It was determined that the type and magnitude of polar interactions have direct implications on the vapor-liquid equilibria (VLE), resulting in azeotropy for systems of either dipolar or quadrupolar fluids when mixed with non-polar or low polar strength fluids, while increasing the polar strength of one component shifts the VLE to be more ideal. Additionally, excess properties and interfacial properties such as interfacial tension, density profiles, and relative adsorption at the interface were also examined, establishing distinct enrichment in the case of mixtures with highly quadrupolar fluids. Finally, polar soft-SAFT was applied to describe the thermodynamic behavior of binary mixtures of experimental systems exhibiting various intermolecular interactions (non-polar and polar), not only demonstrating high accuracy and robustness through agreement with experimental data but also providing insights into the effect of polarity on the interfacial properties of the studied mixtures. This work proves the value of having an accurate theory for isolating the effect of polarity, especially for the design of ad hoc polar solvents.
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Affiliation(s)
- Ismail I I Alkhatib
- Chemical Engineering Department, Khalifa University of Science and Technology, P.O. Box 127788, Abu Dhabi, United Arab Emirates
| | - Lourdes F Vega
- Chemical Engineering Department, Khalifa University of Science and Technology, P.O. Box 127788, Abu Dhabi, United Arab Emirates
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28
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Rehner P, Bursik B, Gross J. Surfactant Modeling Using Classical Density Functional Theory and a Group Contribution PC-SAFT Approach. Ind Eng Chem Res 2021. [DOI: 10.1021/acs.iecr.1c00169] [Citation(s) in RCA: 9] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/30/2023]
Affiliation(s)
- Philipp Rehner
- Institute of Thermodynamics and Thermal Process Engineering, University of Stuttgart, Pfaffenwaldring 9, 70569 Stuttgart, Germany
| | - Benjamin Bursik
- Institute of Thermodynamics and Thermal Process Engineering, University of Stuttgart, Pfaffenwaldring 9, 70569 Stuttgart, Germany
| | - Joachim Gross
- Institute of Thermodynamics and Thermal Process Engineering, University of Stuttgart, Pfaffenwaldring 9, 70569 Stuttgart, Germany
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29
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Mairhofer J. A Residual Entropy Scaling Approach for Viscosity Based on the GERG-2008 Equation of State. Ind Eng Chem Res 2021. [DOI: 10.1021/acs.iecr.0c04938] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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30
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Morales-Díaz C, Cabrera AL, de la Fuente JC, Mejía A. Modelling of solubility of vitamin K3 derivatives in supercritical carbon dioxide using cubic and SAFT equations of state. J Supercrit Fluids 2021. [DOI: 10.1016/j.supflu.2020.105040] [Citation(s) in RCA: 9] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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31
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Non-invasive, spatially averaged temperature measurements of falling acetone droplets in nitrogen atmosphere at elevated pressures and temperatures. J Supercrit Fluids 2020. [DOI: 10.1016/j.supflu.2020.105025] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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32
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Ushiki I, Fujimitsu R, Takishima S. Predicting the solubilities of metal acetylacetonates in supercritical CO2: Thermodynamic approach using PC-SAFT. J Supercrit Fluids 2020. [DOI: 10.1016/j.supflu.2020.104909] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
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33
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Stephan S, Hasse H. Enrichment at vapour–liquid interfaces of mixtures: establishing a link between nanoscopic and macroscopic properties. INT REV PHYS CHEM 2020. [DOI: 10.1080/0144235x.2020.1777705] [Citation(s) in RCA: 25] [Impact Index Per Article: 6.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022]
Affiliation(s)
- Simon Stephan
- Laboratory of Engineering Thermodynamics (LTD), TU Kaiserslautern, Kaiserslautern, Germany
| | - Hans Hasse
- Laboratory of Engineering Thermodynamics (LTD), TU Kaiserslautern, Kaiserslautern, Germany
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34
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Schilling J, Horend C, Bardow A. Integrating superstructure‐based design of molecules, processes, and flowsheets. AIChE J 2020. [DOI: 10.1002/aic.16903] [Citation(s) in RCA: 9] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
Affiliation(s)
- Johannes Schilling
- Institute of Technical ThermodynamicsRWTH Aachen University Aachen Germany
| | - Christian Horend
- Institute of Technical ThermodynamicsRWTH Aachen University Aachen Germany
| | - André Bardow
- Institute of Technical ThermodynamicsRWTH Aachen University Aachen Germany
- Institute of Energy and Climate Research – Energy Systems Engineering (IEK‐10)Forschungszentrum Jülich GmbH Jülich Germany
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35
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Alkhatib III, Pereira LMC, Torne J, Vega LF. Polar soft-SAFT: theory and comparison with molecular simulations and experimental data of pure polar fluids. Phys Chem Chem Phys 2020; 22:13171-13191. [DOI: 10.1039/d0cp00846j] [Citation(s) in RCA: 17] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/19/2023]
Abstract
The consideration of polar interactions is of vital importance for the development of predictive and accurate thermodynamic models for polar fluids, as they govern most of their thermodynamic properties, making them highly non-ideal fluids.
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Affiliation(s)
- Ismail I. I. Alkhatib
- Chemical Engineering Department
- Khalifa University of Science and Technology
- Abu Dhabi
- United Arab Emirates
- Research and Innovation Center on CO2 and H2 (RICH)
| | - Luís M. C. Pereira
- Chemical Engineering Department
- Khalifa University of Science and Technology
- Abu Dhabi
- United Arab Emirates
| | - Jordi Torne
- Alya Technology & Innovation SL
- 08202 Sabadell
- Spain
| | - Lourdes F. Vega
- Chemical Engineering Department
- Khalifa University of Science and Technology
- Abu Dhabi
- United Arab Emirates
- Research and Innovation Center on CO2 and H2 (RICH)
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36
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Jalaei Salmani H, Lotfollahi MN, Mazloumi SH. Phase equilibria modeling of polar systems with Cubic-Plus-Polar (CPP) equation of state. J Mol Liq 2020. [DOI: 10.1016/j.molliq.2019.111879] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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37
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Rehner P, Aasen A, Wilhelmsen Ø. Tolman lengths and rigidity constants from free-energy functionals—General expressions and comparison of theories. J Chem Phys 2019; 151:244710. [DOI: 10.1063/1.5135288] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- P. Rehner
- Institute of Thermodynamics and Thermal Process Engineering, University of Stuttgart, Pfaffenwaldring 9, 70569 Stuttgart, Germany
| | - A. Aasen
- Department of Energy and Process Engineering, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway
- SINTEF Energy Research, NO-7465 Trondheim, Norway
| | - Ø. Wilhelmsen
- Department of Energy and Process Engineering, Norwegian University of Science and Technology, NO-7491 Trondheim, Norway
- SINTEF Energy Research, NO-7465 Trondheim, Norway
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38
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Affiliation(s)
- Andrea Rathgeb
- RWTH Aachen UniversityAachener Verfahrenstechnik, Lehrstuhl für Fluidverfahrenstechnik Forckenbeckstraße 51 52074 Aachen Germany
| | - Andreas Palmtag
- RWTH Aachen UniversityAachener Verfahrenstechnik, Lehrstuhl für Fluidverfahrenstechnik Forckenbeckstraße 51 52074 Aachen Germany
| | - Sebastian Kaminski
- RWTH Aachen UniversityAachener Verfahrenstechnik, Lehrstuhl für Fluidverfahrenstechnik Forckenbeckstraße 51 52074 Aachen Germany
| | - Andreas Jupke
- RWTH Aachen UniversityAachener Verfahrenstechnik, Lehrstuhl für Fluidverfahrenstechnik Forckenbeckstraße 51 52074 Aachen Germany
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39
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Quinteros-Lama H, Garrido JM, Polishuk I. Second-Order Differential Accelerators Based on the Geometry of Equilibrium for Thermodynamic Calculations. Part I. Pure Fluids. Ind Eng Chem Res 2019. [DOI: 10.1021/acs.iecr.9b04771] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
| | - José Matías Garrido
- Department of Chemical Engineering, Universidad de Concepción, 4070386 Concepción, Chile
| | - Ilya Polishuk
- Department of Chemical Engineering, Biotechnology and Materials, Ariel University, 40700 Ariel, Israel
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40
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Raabe G. Molecular simulation data for the vapor-liquid phase equilibria of binary mixtures of HFO-1123 with R-32, R-1234yf, R-1234ze(E), R-134a and CO 2 and their modelling by the PCP-SAFT equation of state. Data Brief 2019; 25:104014. [PMID: 31384637 PMCID: PMC6661389 DOI: 10.1016/j.dib.2019.104014] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/14/2019] [Revised: 05/07/2019] [Accepted: 05/10/2019] [Indexed: 11/02/2022] Open
Abstract
In this Data in Brief article, we present predictive data for the vapor-liquid equilibria of the binary mixtures of HFO-1123 with R-32, HFO-1234yf, HFO-1234ze(E), R-134a and CO2 from molecular simulation. The VLE in the binary mixtures are then modeled by the PCP-SAFT equation of state. Therefore we determined PCP-SAFT parameters for the pure HFO compounds as well as binary interaction parameters for all mixtures. The simulation data and the PCP-SAFT modelling are discussed in a related research article (Raabe, 2019).
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41
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Wu H, Zheng K, Wang G, Yang Y, Li Y. Modeling of Gas Solubility in Hydrocarbons Using the Perturbed-Chain Statistical Associating Fluid Theory Equation of State. Ind Eng Chem Res 2019. [DOI: 10.1021/acs.iecr.9b01383] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Huashuai Wu
- State Key Laboratory of Coal Conversion, Institute of Coal Chemistry, Chinese Academy of Sciences, Taiyuan 030001, People’s Republic of China
- National Energy R&D Center for Coal to Liquid Fuels, Synfuels China Company, Limited, Huairou District, Beijing 101400, People’s Republic of China
- University of Chinese Academy of Sciences, Beijing 100049, People’s Republic of China
| | - Ke Zheng
- State Key Laboratory of Coal Conversion, Institute of Coal Chemistry, Chinese Academy of Sciences, Taiyuan 030001, People’s Republic of China
- National Energy R&D Center for Coal to Liquid Fuels, Synfuels China Company, Limited, Huairou District, Beijing 101400, People’s Republic of China
- University of Chinese Academy of Sciences, Beijing 100049, People’s Republic of China
| | - Gang Wang
- National Energy R&D Center for Coal to Liquid Fuels, Synfuels China Company, Limited, Huairou District, Beijing 101400, People’s Republic of China
| | - Yong Yang
- State Key Laboratory of Coal Conversion, Institute of Coal Chemistry, Chinese Academy of Sciences, Taiyuan 030001, People’s Republic of China
- National Energy R&D Center for Coal to Liquid Fuels, Synfuels China Company, Limited, Huairou District, Beijing 101400, People’s Republic of China
| | - Yongwang Li
- State Key Laboratory of Coal Conversion, Institute of Coal Chemistry, Chinese Academy of Sciences, Taiyuan 030001, People’s Republic of China
- National Energy R&D Center for Coal to Liquid Fuels, Synfuels China Company, Limited, Huairou District, Beijing 101400, People’s Republic of China
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42
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Zheng K, Yang R, Wu H, Wang G, Yang Y, Li Y. Application of the Perturbed-Chain SAFT to Phase Equilibria in the Fischer–Tropsch Synthesis. Ind Eng Chem Res 2019. [DOI: 10.1021/acs.iecr.9b00174] [Citation(s) in RCA: 10] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Ke Zheng
- State Key Laboratory of Coal Conversion, Institute of Coal Chemistry, Chinese Academy of Sciences, Taiyuan 030001, People’s Republic of China
- National Energy R & D Center for Coal to Liquid Fuels, Synfuels China Co., Ltd., Huairou District, Beijing 101400, People’s Republic of China
- University of Chinese Academy of Sciences, Beijing 100049, People’s Republic of China
| | - Ruyi Yang
- State Key Laboratory of Coal Conversion, Institute of Coal Chemistry, Chinese Academy of Sciences, Taiyuan 030001, People’s Republic of China
- National Energy R & D Center for Coal to Liquid Fuels, Synfuels China Co., Ltd., Huairou District, Beijing 101400, People’s Republic of China
- University of Chinese Academy of Sciences, Beijing 100049, People’s Republic of China
| | - Huashuai Wu
- State Key Laboratory of Coal Conversion, Institute of Coal Chemistry, Chinese Academy of Sciences, Taiyuan 030001, People’s Republic of China
- National Energy R & D Center for Coal to Liquid Fuels, Synfuels China Co., Ltd., Huairou District, Beijing 101400, People’s Republic of China
- University of Chinese Academy of Sciences, Beijing 100049, People’s Republic of China
| | - Gang Wang
- National Energy R & D Center for Coal to Liquid Fuels, Synfuels China Co., Ltd., Huairou District, Beijing 101400, People’s Republic of China
| | - Yong Yang
- State Key Laboratory of Coal Conversion, Institute of Coal Chemistry, Chinese Academy of Sciences, Taiyuan 030001, People’s Republic of China
- National Energy R & D Center for Coal to Liquid Fuels, Synfuels China Co., Ltd., Huairou District, Beijing 101400, People’s Republic of China
| | - Yongwang Li
- State Key Laboratory of Coal Conversion, Institute of Coal Chemistry, Chinese Academy of Sciences, Taiyuan 030001, People’s Republic of China
- National Energy R & D Center for Coal to Liquid Fuels, Synfuels China Co., Ltd., Huairou District, Beijing 101400, People’s Republic of China
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43
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Gross J, Sadowski G. Reply to Comment on “Perturbed-Chain SAFT: An Equation of State Based on a Perturbation Theory for Chain Molecules”. Ind Eng Chem Res 2019. [DOI: 10.1021/acs.iecr.9b01515] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Joachim Gross
- Institute of Thermodynamics and Thermal Process Engineering, University of Stuttgart, Pfaffenwaldring 9, 70569 Stuttgart, Germany
| | - Gabriele Sadowski
- Laboratory of Thermodynamics, TU Dortmund University, Emil-Figge-Strasse 70, 44227 Dortmund, Germany
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44
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Quinteros-Lama H, Llovell F. Global phase behaviour in carbon dioxide plus n-alkanes binary mixtures. J Supercrit Fluids 2018. [DOI: 10.1016/j.supflu.2018.06.012] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/28/2022]
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45
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Identifying Pure-Component Parameters of an Analytic Equation of State Using Experimental Surface Tension or Molecular Simulations with a Transferable Force Field. Ind Eng Chem Res 2018. [DOI: 10.1021/acs.iecr.8b02528] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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46
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47
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Langenbach K, Heilig M, Horsch M, Hasse H. Study of homogeneous bubble nucleation in liquid carbon dioxide by a hybrid approach combining molecular dynamics simulation and density gradient theory. J Chem Phys 2018; 148:124702. [DOI: 10.1063/1.5022231] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/08/2023] Open
Affiliation(s)
- K. Langenbach
- Laboratory of Engineering Thermodynamics, University of Kaiserslautern, Kaiserslautern D-67663, Germany
| | - M. Heilig
- ROM, Digitalization in Research and Development, BASF SE, Ludwigshafen D-67056, Germany
| | - M. Horsch
- Laboratory of Engineering Thermodynamics, University of Kaiserslautern, Kaiserslautern D-67663, Germany
| | - H. Hasse
- Laboratory of Engineering Thermodynamics, University of Kaiserslautern, Kaiserslautern D-67663, Germany
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48
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Lötgering-Lin O, Fischer M, Hopp M, Gross J. Pure Substance and Mixture Viscosities Based on Entropy Scaling and an Analytic Equation of State. Ind Eng Chem Res 2018. [DOI: 10.1021/acs.iecr.7b04871] [Citation(s) in RCA: 55] [Impact Index Per Article: 9.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Oliver Lötgering-Lin
- Institute of Thermodynamics and Thermal Process Engineering, University of Stuttgart, Pfaffenwaldring 9, 70569 Stuttgart, Germany
| | - Matthias Fischer
- Institute of Thermodynamics and Thermal Process Engineering, University of Stuttgart, Pfaffenwaldring 9, 70569 Stuttgart, Germany
| | - Madlen Hopp
- Institute of Thermodynamics and Thermal Process Engineering, University of Stuttgart, Pfaffenwaldring 9, 70569 Stuttgart, Germany
| | - Joachim Gross
- Institute of Thermodynamics and Thermal Process Engineering, University of Stuttgart, Pfaffenwaldring 9, 70569 Stuttgart, Germany
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49
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Zheng K, Wu H, Geng C, Wang G, Yang Y, Li Y. A Comparative Study of the Perturbed-Chain Statistical Associating Fluid Theory Equation of State and Activity Coefficient Models in Phase Equilibria Calculations for Mixtures Containing Associating and Polar Components. Ind Eng Chem Res 2018. [DOI: 10.1021/acs.iecr.7b04758] [Citation(s) in RCA: 13] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Ke Zheng
- State
Key Laboratory of Coal Conversion, Institute of Coal Chemistry, Chinese Academy of Sciences, Taiyuan 030001, P. R. China
- National Energy R & D Center for Coal to Liquid Fuels, Synfuels China Co., Ltd., Huairou District, Beijing 101400, P. R. China
- University of Chinese Academy of Sciences, Beijing 100049, P. R. China
| | - Huashuai Wu
- State
Key Laboratory of Coal Conversion, Institute of Coal Chemistry, Chinese Academy of Sciences, Taiyuan 030001, P. R. China
- National Energy R & D Center for Coal to Liquid Fuels, Synfuels China Co., Ltd., Huairou District, Beijing 101400, P. R. China
- University of Chinese Academy of Sciences, Beijing 100049, P. R. China
| | - Chunyu Geng
- National Energy R & D Center for Coal to Liquid Fuels, Synfuels China Co., Ltd., Huairou District, Beijing 101400, P. R. China
| | - Gang Wang
- National Energy R & D Center for Coal to Liquid Fuels, Synfuels China Co., Ltd., Huairou District, Beijing 101400, P. R. China
| | - Yong Yang
- State
Key Laboratory of Coal Conversion, Institute of Coal Chemistry, Chinese Academy of Sciences, Taiyuan 030001, P. R. China
- National Energy R & D Center for Coal to Liquid Fuels, Synfuels China Co., Ltd., Huairou District, Beijing 101400, P. R. China
| | - Yongwang Li
- State
Key Laboratory of Coal Conversion, Institute of Coal Chemistry, Chinese Academy of Sciences, Taiyuan 030001, P. R. China
- National Energy R & D Center for Coal to Liquid Fuels, Synfuels China Co., Ltd., Huairou District, Beijing 101400, P. R. China
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50
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Langenbach K. Co-Oriented Fluid Functional Equation for Electrostatic interactions (COFFEE). Chem Eng Sci 2017. [DOI: 10.1016/j.ces.2017.08.025] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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