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Bernet T, Ravipati S, Cárdenas H, Müller EA, Jackson G. Beyond the mean-field approximation for pair correlations in classical density functional theory: Reference inhomogeneous non-associating monomeric fluids for use with SAFT-VR Mie DFT. J Chem Phys 2024; 161:094115. [PMID: 39234971 DOI: 10.1063/5.0219968] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/21/2024] [Accepted: 08/14/2024] [Indexed: 09/06/2024] Open
Abstract
A free-energy functional is presented to explicitly take into account pair correlations between molecules in inhomogeneous fluids. The framework of classical density functional theory (DFT) is used to describe the variation in the density of molecules interacting through a Mie (generalized Lennard-Jones) potential. Grand Canonical Monte Carlo simulations are performed for the systems to validate the new functional. The statistical associating fluid theory developed for Mie fluids (SAFT-VR Mie) is selected as a reference for the homogeneous bulk limit of the DFT and is applied here to systems of spherical non-associating particles. The importance of a correct description of the pair correlations for a reliable representation of the free energy in the development of the equation of state is duly noted. Following the Barker-Henderson high-temperature expansion, an analogous formulation is proposed from the general DFT formalism to develop an inhomogeneous equivalent of the SAFT-VR Mie free energy as a functional of the one-body density. In order to make use of this new functional in adsorption studies, a non-local version of the DFT is considered, with specific weighted densities describing the effects of neighboring molecules. The computation of these quantities is possible in three-dimensional space for any pore geometry with repulsive or attractive walls. We showcase examples to validate the new functional, revealing a very good agreement with molecular simulation. The new SAFT-DFT approach is well-adapted to describe realistic complex fluids.
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Affiliation(s)
- Thomas Bernet
- Department of Chemical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom
- Université de Pau et des Pays de l'Adour, E2S UPPA, CNRS, Total, LFCR, Anglet, France
| | - Srikanth Ravipati
- Department of Chemical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom
| | - Harry Cárdenas
- Department of Chemical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom
| | - Erich A Müller
- Department of Chemical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom
| | - George Jackson
- Department of Chemical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom
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Iskenderov EG, Pashuk EG, Abdulagatov IM. Automated high-temperature and high-pressure adiabatic calorimeter for measurements of the fundamental property ( CVV T) of fluids for scientific applications. Constant-volume heat capacity of compressed liquids and gases. J Mol Liq 2022. [DOI: 10.1016/j.molliq.2022.120164] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/31/2022]
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3
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Huber ML, Lemmon EW, Bell IH, McLinden MO. The NIST REFPROP Database for Highly Accurate Properties of Industrially Important Fluids. Ind Eng Chem Res 2022; 61:15449-15472. [PMID: 36329835 PMCID: PMC9619405 DOI: 10.1021/acs.iecr.2c01427] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
The NIST REFPROP software program is a powerful tool for calculating thermophysical properties of industrially important fluids, and this manuscript describes the models implemented in, and features of, this software. REFPROP implements the most accurate models available for selected pure fluids and their mixtures that are valid over the entire fluid range including gas, liquid, and supercritical states, with the goal of uncertainties approaching the level of the underlying experimental data. The equations of state for thermodynamic properties are primarily of the Helmholtz energy form; a variety of models are implemented for the transport properties. We document the models for the 147 fluids included in the current version. A graphical user interface generates tables and provides extensive plotting capabilities. Properties can also be accessed through third-party apps or user-written code via the core property subroutines compiled into a shared library. REFPROP disseminates international standards in both the natural gas and refrigeration industries, as well as standards for water/steam.
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Affiliation(s)
- Marcia L. Huber
- Applied Chemicals and Materials Division, National Institute of Standards and Technology, 325 Broadway, Mailstop 647.08, Boulder, Colorado 80305, United States
| | - Eric W. Lemmon
- Applied Chemicals and Materials Division, National Institute of Standards and Technology, 325 Broadway, Mailstop 647.08, Boulder, Colorado 80305, United States
| | - Ian H. Bell
- Applied Chemicals and Materials Division, National Institute of Standards and Technology, 325 Broadway, Mailstop 647.08, Boulder, Colorado 80305, United States
| | - Mark O. McLinden
- Applied Chemicals and Materials Division, National Institute of Standards and Technology, 325 Broadway, Mailstop 647.08, Boulder, Colorado 80305, United States
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Cai G, Katsumata W, Okajima I, Sako T, Funazukuri T, Kong CY. Determination of diffusivities of triolein in pressurized liquids and in supercritical CO2. J Mol Liq 2022. [DOI: 10.1016/j.molliq.2022.118860] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/18/2022]
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5
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Crossover description of transport properties for some hydrocarbons in the supercritical region. Chem Phys Lett 2022. [DOI: 10.1016/j.cplett.2022.139394] [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]
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6
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Abdulagatov IM, Skripov PV. Thermodynamic and Transport Properties of Supercritical Fluids: Review of Thermodynamic Properties (Part 1). RUSSIAN JOURNAL OF PHYSICAL CHEMISTRY B 2021. [DOI: 10.1134/s1990793120070192] [Citation(s) in RCA: 9] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/25/2022]
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7
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Jost AMD, Glockner S, Erriguible A. Direct numerical simulations of fluids mixing above mixture critical point. J Supercrit Fluids 2020. [DOI: 10.1016/j.supflu.2020.104939] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/27/2022]
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8
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Kong CY, Sugiura K, Natsume S, Sakabe J, Funazukuri T, Miyake K, Okajima I, Badhulika S, Sako T. Measurements and correlation of diffusion coefficients of ibuprofen in both liquid and supercritical fluids. J Supercrit Fluids 2020. [DOI: 10.1016/j.supflu.2020.104776] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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9
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Anashkin I, Dyakonov S, Dyakonov G. Relationship between the Transport Coefficients of Polar Substances and Entropy. ENTROPY (BASEL, SWITZERLAND) 2019; 22:E13. [PMID: 33285788 PMCID: PMC7516427 DOI: 10.3390/e22010013] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 11/25/2019] [Revised: 12/12/2019] [Accepted: 12/17/2019] [Indexed: 01/09/2023]
Abstract
An expression is proposed that relates the transport properties of polar substances (diffusion coefficient, viscosity coefficient, and thermal conductivity coefficient) with entropy. To calculate the entropy, an equation of state with a good description of the properties in a wide region of the state is used. Comparison of calculations based on the proposed expressions with experimental data showed good agreement. A deviation exceeding 20% is observed only in the region near the critical point as well as at high pressures.
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Affiliation(s)
- Ivan Anashkin
- Chemical Process Engineering Department, Kazan National Research Technological University, Kazan 420063, Russia
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Assael MJ, Kalyva AE, Monogenidou SA, Huber ML, Perkins RA, Friend DG, May EF. Reference Values and Reference Correlations for the Thermal Conductivity and Viscosity of Fluids. JOURNAL OF PHYSICAL AND CHEMICAL REFERENCE DATA 2018; 47:10.1063/1.5036625. [PMID: 30996494 PMCID: PMC6463310 DOI: 10.1063/1.5036625] [Citation(s) in RCA: 15] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
In this paper, reference values and reference correlations for the thermal conductivity and viscosity of pure fluids are reviewed. Reference values and correlations for the thermal conductivity and the viscosity of pure fluids provide thoroughly evaluated data or functional forms and serve to help calibrate instruments, validate or extend models, and underpin some commercial transactions or designs, among other purposes. The criteria employed for the selection of thermal conductivity and viscosity reference values are also discussed; such values, which have the lowest uncertainties currently achievable, are typically adopted and promulgated by international bodies. Similar criteria are employed in the selection of reference correlations, which cover a wide range of conditions, and are often characterized by low uncertainties in their ranges of definition.
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Affiliation(s)
- M J Assael
- Laboratory of Thermophysical Properties and Environmental Processes,Chemical Engineering Department, Aristotle University, Thessaloniki 54636, Greece
| | - A E Kalyva
- Laboratory of Thermophysical Properties and Environmental Processes,Chemical Engineering Department, Aristotle University, Thessaloniki 54636, Greece
| | - S A Monogenidou
- Laboratory of Thermophysical Properties and Environmental Processes,Chemical Engineering Department, Aristotle University, Thessaloniki 54636, Greece
| | - M L Huber
- Applied Chemicals and Materials Division, National Institute of Standards and Technology, 325 Broadway, Boulder, CO 80305, USA
| | - R A Perkins
- Applied Chemicals and Materials Division, National Institute of Standards and Technology, 325 Broadway, Boulder, CO 80305, USA
| | - D G Friend
- Applied Chemicals and Materials Division, National Institute of Standards and Technology, 325 Broadway, Boulder, CO 80305, USA
| | - E F May
- Fluid Science & Resources Division, University of Western Australia, Crawley WA 6009, Australia
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12
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Abdulagatov IM, Polikhronidi NG, Batyrova RG. Internal pressure of liquids from the calorimetric measurements near the critical point. J Mol Liq 2016. [DOI: 10.1016/j.molliq.2016.02.009] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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13
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Guevara-Carrion G, Janzen T, Muñoz-Muñoz YM, Vrabec J. Mutual diffusion of binary liquid mixtures containing methanol, ethanol, acetone, benzene, cyclohexane, toluene, and carbon tetrachloride. J Chem Phys 2016; 144:124501. [DOI: 10.1063/1.4943395] [Citation(s) in RCA: 65] [Impact Index Per Article: 8.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022] Open
Affiliation(s)
| | - Tatjana Janzen
- Thermodynamics and Energy Technology, University of Paderborn, 33098 Paderborn, Germany
| | | | - Jadran Vrabec
- Thermodynamics and Energy Technology, University of Paderborn, 33098 Paderborn, Germany
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Kong CY, Yakumaru Y, Funazukuri T. Measurement and correlation of binary diffusion coefficients of lithium acetylacetonate in supercritical carbon dioxide and in liquid ethanol. J Supercrit Fluids 2015. [DOI: 10.1016/j.supflu.2015.07.003] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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15
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Bell IH, Wronski J, Quoilin S, Lemort V. Pure and Pseudo-pure Fluid Thermophysical Property Evaluation and the Open-Source Thermophysical Property Library CoolProp. Ind Eng Chem Res 2014; 53:2498-2508. [PMID: 24623957 PMCID: PMC3944605 DOI: 10.1021/ie4033999] [Citation(s) in RCA: 208] [Impact Index Per Article: 20.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/10/2013] [Revised: 01/02/2014] [Accepted: 01/13/2014] [Indexed: 11/28/2022]
Abstract
Over
the last few decades, researchers have developed a number of empirical
and theoretical models for the correlation and prediction of the thermophysical
properties of pure fluids and mixtures treated as pseudo-pure fluids.
In this paper, a survey of all the state-of-the-art formulations of
thermophysical properties is presented. The most-accurate thermodynamic properties are
obtained from multiparameter Helmholtz-energy-explicit-type formulations.
For the transport properties, a wider range of methods has been employed,
including the extended corresponding states method. All of the thermophysical
property correlations described here have been implemented into CoolProp,
an open-source thermophysical property library. This library is written
in C++, with wrappers available for the majority of programming languages
and platforms of technical interest. As of publication, 110 pure and
pseudo-pure fluids are included in the library, as well as properties
of 40 incompressible fluids and humid air. The source code for the
CoolProp library is included as an electronic annex.
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Affiliation(s)
- Ian H Bell
- Energy Systems Research Unit, University of Liège , Liège, Belgium
| | - Jorrit Wronski
- Department of Mechanical Engineering, Technical University of Denmark , Kongens Lyngby, Denmark
| | - Sylvain Quoilin
- Energy Systems Research Unit, University of Liège , Liège, Belgium
| | - Vincent Lemort
- Energy Systems Research Unit, University of Liège , Liège, Belgium
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Kong CY, Watanabe K, Funazukuri T. Diffusion coefficients of phenylbutazone in supercritical CO2 and in ethanol. J Chromatogr A 2013; 1279:92-7. [DOI: 10.1016/j.chroma.2013.01.019] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/05/2012] [Revised: 12/25/2012] [Accepted: 01/03/2013] [Indexed: 11/15/2022]
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Ghosh SK, Tsujii K. Unique diffusion behavior observed in supercritical ethanol. J Chem Phys 2010; 132:144503. [DOI: 10.1063/1.3373404] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/08/2023] Open
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Laesecke A. Comments on “Excess molar volumes and excess viscosities for mixtures of N,N-dimethylformamide with methanol, ethanol and 2-propanol at different temperatures” by M. M. H. Bhuiyan and M. H. Uddin, J. Mol. Liquids, 138(2008)1–3, 139–146. J Mol Liq 2009. [DOI: 10.1016/j.molliq.2008.12.003] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
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19
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Tan SP, Adidharma H, Radosz M. Recent Advances and Applications of Statistical Associating Fluid Theory. Ind Eng Chem Res 2008. [DOI: 10.1021/ie8008764] [Citation(s) in RCA: 241] [Impact Index Per Article: 15.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/16/2023]
Affiliation(s)
- Sugata P. Tan
- Soft Material Laboratory, Department of Chemical and Petroleum Engineering, University of Wyoming, Laramie, Wyoming 82071
| | - Hertanto Adidharma
- Soft Material Laboratory, Department of Chemical and Petroleum Engineering, University of Wyoming, Laramie, Wyoming 82071
| | - Maciej Radosz
- Soft Material Laboratory, Department of Chemical and Petroleum Engineering, University of Wyoming, Laramie, Wyoming 82071
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Fu D. Investigation of Surface Tensions for Pure Associating Fluids by Perturbed-Chain Statistical Associating Fluid Theory Combined with Density-Gradient Theory. Ind Eng Chem Res 2007. [DOI: 10.1021/ie070906e] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Dong Fu
- School of Environmental Science and Engineering, North China Electric Power University, Baoding 071003, People's Republic of China
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Ghosh SK, Deguchi S, Mukai SA, Tsujii K. Supercritical EthanolA Fascinating Dispersion Medium for Silica Nanoparticles. J Phys Chem B 2007; 111:8169-74. [PMID: 17585799 DOI: 10.1021/jp071999g] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
For the first time, the dispersion stability of silica nanoparticles has been investigated in high-temperature and high-pressure ethanol by measuring the hydrodynamic diffusion coefficient of the particles by means of dynamic light scattering. The silica nanoparticles remain stable in ethanol within a wide temperature range of 24-304 degrees C at 12.3 MPa, and they start to aggregate at T >or= 305 degrees C. Numerical analysis reveals that the net interparticle repulsive potential barrier decreases dramatically with increasing temperature due to the changes in the properties of the medium. We observed that particles remain highly stable in the nonpolar supercritical ethanol in the temperature regime 241-304 degrees C, where the DLVO potential barrier is only 5-2 k(B)T. The dispersion stability of silica nanoparticles at this low potential barrier in high-temperature and high-pressure ethanol, especially in the supercritical ethanol, is fascinating. The silica-ethanol system might be a unique and special example in the colloidal dispersions. Results suggest that silica nanoparticles may be used as a model colloid to investigate the colloidal transport phenomena in the supercritical ethanol.
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Affiliation(s)
- Swapan K Ghosh
- Extremobiosphere Research Center, Japan Agency for Marine-Earth Science and Technology (JAMSTEC), Yokosuka 237-0061, Japan.
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Fu D, Li XS, Yan S, Liao T. Investigation of Critical Properties and Surface Tensions for n-Alkanes by Perturbed-Chain Statistical Associating Fluid Theory Combined with Density-Gradient Theory and Renormalization-Group Theory. Ind Eng Chem Res 2006. [DOI: 10.1021/ie0607393] [Citation(s) in RCA: 35] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Dong Fu
- School of Environmental Science and Engineering, North China Electric Power University, Baoding 071003, People's Republic of China, and Guangzhou Institute of Energy Conversion, Chinese Academy of Sciences, Guangzhou 510640, People's Republic of China
| | - Xiao-Sen Li
- School of Environmental Science and Engineering, North China Electric Power University, Baoding 071003, People's Republic of China, and Guangzhou Institute of Energy Conversion, Chinese Academy of Sciences, Guangzhou 510640, People's Republic of China
| | - ShuMei Yan
- School of Environmental Science and Engineering, North China Electric Power University, Baoding 071003, People's Republic of China, and Guangzhou Institute of Energy Conversion, Chinese Academy of Sciences, Guangzhou 510640, People's Republic of China
| | - Tao Liao
- School of Environmental Science and Engineering, North China Electric Power University, Baoding 071003, People's Republic of China, and Guangzhou Institute of Energy Conversion, Chinese Academy of Sciences, Guangzhou 510640, People's Republic of China
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