1
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Saric D, Bell IH, Guevara-Carrion G, Vrabec J. Influence of repulsion on entropy scaling and density scaling of monatomic fluids. J Chem Phys 2024; 160:104503. [PMID: 38456532 DOI: 10.1063/5.0196592] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/08/2024] [Accepted: 02/18/2024] [Indexed: 03/09/2024] Open
Abstract
Entropy scaling is applied to the shear viscosity, self-diffusion coefficient, and thermal conductivity of simple monatomic fluids. An extensive molecular dynamics simulation series is performed to obtain these transport properties and the residual entropy of three potential model classes with variable repulsive exponents: n, 6 Mie (n = 9, 12, 15, and 18), Buckingham's exponential-six (α = 12, 14, 18, and 30), and Tang-Toennies (αT = 4.051, 4.275, and 4.600). A wide range of liquid and supercritical gas- and liquid-like states is covered with a total of 1120 state points. Comparisons to equations of state, literature data, and transport property correlations are made. Although the absolute transport property values within a given potential model class may strongly depend on the repulsive exponent, it is found that the repulsive steepness plays a negligible role when entropy scaling is applied. Hence, the plus-scaled transport properties of n, 6 Mie, exponential-six, and Tang-Toennies fluids lie basically on one master curve, which closely corresponds with entropy scaling correlations for the Lennard-Jones fluid. This trend is confirmed by literature data of n, 6 Mie, and exponential-six fluids. Furthermore, entropy scaling holds for state points where the Pearson correlation coefficient R is well below 0.9. The condition R > 0.9 for strongly correlating liquids is thus not necessary for the successful application of entropy scaling, pointing out that isomorph theory may be a part of a more general framework that is behind the success of entropy scaling. Density scaling reveals a strong influence of the repulsive exponent on this particular approach.
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Affiliation(s)
- Denis Saric
- Thermodynamics, Technical University of Berlin, Ernst-Reuter-Platz 1, 10587 Berlin, Germany
| | - Ian H Bell
- Applied Chemicals and Materials Division, National Institute of Standards and Technology, Boulder, Colorado 80305, USA
| | | | - Jadran Vrabec
- Thermodynamics, Technical University of Berlin, Ernst-Reuter-Platz 1, 10587 Berlin, Germany
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2
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Thermal conductivity prediction of pure refrigerants and mixtures based on entropy-scaling concept. J Mol Liq 2022. [DOI: 10.1016/j.molliq.2022.120568] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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3
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Matsuda H, Tochigi K, Kurihara K, Funazukuri T. Estimation of Thermal Conductivities for Binary and Ternary Liquid Mixtures Using Excess Thermal Conductivity Model. J SOLUTION CHEM 2022. [DOI: 10.1007/s10953-022-01220-9] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/13/2022]
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4
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Crossover Residual Entropy Scaling of the Viscosity and Thermal Conductivity of Carbon Dioxide. J Mol Liq 2022. [DOI: 10.1016/j.molliq.2022.120799] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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5
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Li N, Wang X, Chen G, Gao N. Linking Thermal Conductivity and Self-Diffusion Coefficient with a Simple Dimensionless Calorimetric Parameter for Saturated Liquids. Ind Eng Chem Res 2022. [DOI: 10.1021/acs.iecr.2c02447] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
Affiliation(s)
- Nian Li
- Ningbo Research Institute, Zhejiang University, Ningbo315100, China
- NingboTech University, Ningbo315100, China
- Zhejiang Engineering Research Center for Intelligent Marine Ranch Equipment, Ningbo315100, China
| | - Xuehui Wang
- Department of Chemical Engineering, Imperial College London, LondonSW7 2AZ, U.K
| | - Guangming Chen
- Ningbo Research Institute, Zhejiang University, Ningbo315100, China
- NingboTech University, Ningbo315100, China
| | - Neng Gao
- NingboTech University, Ningbo315100, China
- Zhejiang Engineering Research Center for Intelligent Marine Ranch Equipment, Ningbo315100, China
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6
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Wan R, Li M, Song F, Xiao Y, Zeng F, Peng C, Liu H. Predicting the Thermal Conductivity of Ionic Liquids Using a Quantitative Structure–Property Relationship. Ind Eng Chem Res 2022. [DOI: 10.1021/acs.iecr.2c01964] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Ren Wan
- School of Chemistry and Molecular Engineering, East China University of Science and Technology, Shanghai 200237, China
| | - Mingyan Li
- School of Chemistry and Molecular Engineering, East China University of Science and Technology, Shanghai 200237, China
| | - Fan Song
- School of Chemistry and Molecular Engineering, East China University of Science and Technology, Shanghai 200237, China
| | - Yongjun Xiao
- School of Chemistry and Molecular Engineering, East China University of Science and Technology, Shanghai 200237, China
| | - Fazhan Zeng
- School of Chemistry and Molecular Engineering, East China University of Science and Technology, Shanghai 200237, China
| | - Changjun Peng
- School of Chemistry and Molecular Engineering, East China University of Science and Technology, Shanghai 200237, China
| | - Honglai Liu
- School of Chemistry and Molecular Engineering, East China University of Science and Technology, Shanghai 200237, China
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7
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Niksirat M, Aeenjan F, Khosharay S. Introducing hydrogen bonding contribution to the Patel-Teja thermal conductivity equation of state for hydrochlorofluorocarbons, hydrofluorocarbons and hydrofluoroolefins. J Mol Liq 2022. [DOI: 10.1016/j.molliq.2022.118631] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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8
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Malatesta WA, Yang B. Aviation Turbine Fuel Thermal Conductivity: A Predictive Approach Using Entropy Scaling-Guided Machine Learning with Experimental Validation. ACS OMEGA 2021; 6:28579-28586. [PMID: 34746553 PMCID: PMC8567267 DOI: 10.1021/acsomega.1c02934] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/04/2021] [Accepted: 10/06/2021] [Indexed: 05/17/2023]
Abstract
Although typical aircraft fuel thermal management analysis relies upon temperature-dependent thermodynamic and transport properties of aviation turbine fuel, the variation in properties associated with compositional variation in fuels and the subsequent impacts on system performance are not well established. With this in mind, the present work aimed to develop a predictive model of aviation turbine fuel thermal conductivity which utilized only compositional (hydrocarbon) and state (temperature and pressure) inputs and had errors within the bounds of typical uncertainty of the associated test data (3%). A novel modeling approach was developed to predict thermal conductivity using pseudo-component entropy scaling techniques with a machine learning-developed intermediate step in the overall model. Simple hyper-parameter optimization techniques were developed to promote model stability, computational efficiency, and long-term repeatability of the novel architecture. Validation data were gathered which included four fuel samples (3 JP-5 and 1 F-24), which underwent two-dimensional gas chromatography compositional testing and temperature-dependent density, viscosity, thermal conductivity, and specific heat testing. Model performance on the validation data set assembled from the literature data and present efforts showed an average deviation of 1% and an absolute average deviation of 2.5%. Model outputs outside the validation range are well-behaved and are expected to perform well on a large range of liquid hydrocarbon mixtures with the overall process expected to be well suited to prediction of other properties.
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Affiliation(s)
- William Anthony Malatesta
- Propulsion
and Power Department, Naval Air Systems
Command, 48298 Shaw Rd, Bldg 1461, Patuxent River, Maryland 20670, United States
| | - Bao Yang
- Center for
Environmental Energy Engineering, Department of Mechanical Engineering, University of Maryland, College Park, Maryland 20742, United States
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9
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Yang X, Kim D, May EF, Bell IH. Entropy Scaling of Thermal Conductivity: Application to Refrigerants and Their Mixtures. Ind Eng Chem Res 2021. [DOI: 10.1021/acs.iecr.1c02154] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Xiaoxian Yang
- Fluid Science & Resources Division, Department of Chemical Engineering, University of Western Australia, Crawley, Western Australia 6009, Australia
| | - Dongchan Kim
- Fluid Science & Resources Division, Department of Chemical Engineering, University of Western Australia, Crawley, Western Australia 6009, Australia
| | - Eric F. May
- Fluid Science & Resources Division, Department of Chemical Engineering, University of Western Australia, Crawley, Western Australia 6009, Australia
| | - Ian H. Bell
- Applied Chemicals and Materials Division, National Institute of Standards and Technology, Boulder, Colorado 80305, United States
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10
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Dehlouz A, Privat R, Galliero G, Bonnissel M, Jaubert JN. Revisiting the Entropy-Scaling Concept for Shear-Viscosity Estimation from Cubic and SAFT Equations of State: Application to Pure Fluids in Gas, Liquid and Supercritical States. Ind Eng Chem Res 2021. [DOI: 10.1021/acs.iecr.1c01386] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Aghilas Dehlouz
- École Nationale Supérieure des Industries Chimiques, Laboratoire Réactions et Génie des Procédés (UMR CNRS 7274), Université de Lorraine, 1 rue Grandville, 54000 Nancy, France
- Gaztransport & Technigaz (GTT), 1 route de Versailles, 78470 Saint-Rémy-lès-Chevreuse, France
| | - Romain Privat
- École Nationale Supérieure des Industries Chimiques, Laboratoire Réactions et Génie des Procédés (UMR CNRS 7274), Université de Lorraine, 1 rue Grandville, 54000 Nancy, France
| | - Guillaume Galliero
- E2S UPPA, CNRS Total Energies, LFCR UMR 5150, Université de Pau et des Pays de l’Adour 64000 Pau, France
| | - Marc Bonnissel
- Gaztransport & Technigaz (GTT), 1 route de Versailles, 78470 Saint-Rémy-lès-Chevreuse, France
| | - Jean-Noël Jaubert
- École Nationale Supérieure des Industries Chimiques, Laboratoire Réactions et Génie des Procédés (UMR CNRS 7274), Université de Lorraine, 1 rue Grandville, 54000 Nancy, France
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11
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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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12
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Liu H, Yang F, Yang X, Yang Z, Duan Y. Modeling the thermal conductivity of hydrofluorocarbons, hydrofluoroolefins and their binary mixtures using residual entropy scaling and cubic-plus-association equation of state. J Mol Liq 2021. [DOI: 10.1016/j.molliq.2021.115612] [Citation(s) in RCA: 12] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/01/2022]
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13
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Zmpitas J, Gross J. Modified Stokes–Einstein Equation for Molecular Self-Diffusion Based on Entropy Scaling. Ind Eng Chem Res 2021. [DOI: 10.1021/acs.iecr.0c06090] [Citation(s) in RCA: 9] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Julia Zmpitas
- 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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14
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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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15
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Fouad WA, Alasiri H. Molecular dynamic simulation and SAFT modeling of the viscosity and self-diffusion coefficient of low global warming potential refrigerants. J Mol Liq 2020. [DOI: 10.1016/j.molliq.2020.113998] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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16
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Bell IH. Entropy Scaling of Viscosity - II: Predictive Scheme for Normal Alkanes. JOURNAL OF CHEMICAL AND ENGINEERING DATA 2020; 65:10.1021/acs.jced.0c00749. [PMID: 34121765 PMCID: PMC8191377 DOI: 10.1021/acs.jced.0c00749] [Citation(s) in RCA: 13] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Abstract
In this work, a residual entropy value 6/10 of the way between the critical point and a value of -2/3 of Boltzmann's constant is shown to collapse the scaled viscosity for the family of normal alkanes. Based on this approach, a nearly universal correlation is proposed that can reproduce 95% of the experimental data for normal alkanes within ±18% (without removal of clearly erroneous data). This universal correlation has no new fluid-specific empirical parameters and is based on experimentally accessible values. This collapse is shown to be valid to a residual entropy half way between the critical point and the triple point, beyond which the macroscopically-scaled viscosity has a super-exponential dependence on residual entropy, terminating at the triple point. A key outcome of this study is a better understanding of entropy scaling for fluids with intramolecular degrees of freedom. A study of the transport and thermodynamic properties at the triple point rounds out the analysis.
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Affiliation(s)
- Ian H Bell
- Applied Chemicals and Materials Division, National Institute of Standards and Technology, Boulder, CO 80305
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17
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Cardona LF, Valderrama JO. Physical and transport properties of ionic liquids using the geometric similitude concept and a cubic equation of state. Part 1: Thermal conductivity and speed of sound of pure substances. J Mol Liq 2020. [DOI: 10.1016/j.molliq.2020.113681] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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18
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Binti Mohd Taib M, Trusler JPM. Residual entropy model for predicting the viscosities of dense fluid mixtures. J Chem Phys 2020; 152:164104. [PMID: 32357798 DOI: 10.1063/5.0002242] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
In this work, we have investigated the mono-variant relationship between the reduced viscosity and residual entropy in pure fluids and in binary mixtures of hydrocarbons and hydrocarbons with dissolved carbon dioxide. The mixtures considered were octane + dodecane, decane + carbon dioxide, and 1,3-dimethylbenzene (m-xylene) + carbon dioxide. The reduced viscosity was calculated according to the definition of Bell, while the residual entropy was calculated from accurate multi-parameter Helmholtz-energy equations of state and, for mixtures, the multi-fluid Helmholtz energy approximation. The mono-variant dependence of reduced viscosity upon residual molar entropy was observed for the pure fluids investigated, and by incorporating two scaling factors (one for reduced viscosity and the other for residual molar entropy), the data were represented by a single universal curve. To apply this method to mixtures, the scaling factors were determined from a mole-fraction weighted sum of the pure-component values. This simple model was found to work well for the systems investigated. The average absolute relative deviation (AARD) was observed to be between 1% and 2% for pure components and a mixture of similar hydrocarbons. Larger deviations, with AARDs of up to 15%, were observed for the asymmetric mixtures, but this compares favorably with other methods for predicting the viscosity of such systems. We conclude that the residual-entropy concept can be used to estimate the viscosity of mixtures of similar molecules with high reliability and that it offers a useful engineering approximation even for asymmetric mixtures.
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Affiliation(s)
- Malyanah Binti Mohd Taib
- Department of Chemical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom
| | - J P Martin Trusler
- Department of Chemical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom
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19
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Fischer M, Bauer G, Gross J. Transferable Anisotropic United-Atom Mie (TAMie) Force Field: Transport Properties from Equilibrium Molecular Dynamic Simulations. Ind Eng Chem Res 2020. [DOI: 10.1021/acs.iecr.0c00848] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Matthias Fischer
- Institute of Thermodynamics and Thermal Process Engineering, University of Stuttgart, Pfaffenwaldring 9, 70569 Stuttgart, Germany
| | - Gernot Bauer
- 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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20
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Liu Y, Zhao X, Wang X, Wu A. Prediction of thermal conductivities for n-alkanes in liquid and supercritical phase. J Mol Liq 2020. [DOI: 10.1016/j.molliq.2020.112580] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
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21
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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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22
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Pieprzyk S, Brańka AC, Heyes DM, Bannerman MN. A comprehensive study of the thermal conductivity of the hard sphere fluid and solid by molecular dynamics simulation. Phys Chem Chem Phys 2020; 22:8834-8845. [PMID: 32285883 DOI: 10.1039/d0cp00494d] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
This work reports a new set of hard sphere (HS) thermal conductivity coefficient, λ, data obtained by Molecular Dynamics (MD) computer simulation, over a density range covering the dilute fluid to near the close-packed solid, and for a large number of particles (up to N = 13 1072) and long simulation times. The N-dependence of the thermal conductivity is shown to be proportional to N-2/3 to a good approximation over a wide range of system sizes, which enabled λ values in the thermodynamic limit to be predicted accurately. The fluid and solid λ can be represented well by the Enskog theory (ET) formula, λE, times a density-dependent correction term, which is close to unity for the fluid and practically constant for the solid. The convergence of the MD λ data back towards ET in the metastable fluid starts just above the freezing density. For the HS solid and dense fluid it was found that the thermal conductivity is nearly linear in pressure, as has been observed experimentally for a number of solids. Simple excess entropy scaling over the higher density fluid phase region was found, and Rosenfeld's exponential relationship can be fitted to the simulation data for the solid to a high degree of accuracy. The simulation analysis has revealed a number of new trends in the behaviour of the HS thermal conductivity which could be useful in building more accurate models for heat conduction in experimental systems.
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Affiliation(s)
- Sławomir Pieprzyk
- Institute of Molecular Physics, Polish Academy of Sciences, M. Smoluchowskiego 17, 60-179 Poznań, Poland.
| | - Arkadiusz C Brańka
- Institute of Molecular Physics, Polish Academy of Sciences, M. Smoluchowskiego 17, 60-179 Poznań, Poland.
| | - David M Heyes
- Department of Physics, Royal Holloway, University of London, Egham, Surrey TW20 0EX, UK.
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23
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Bell IH. Entropy Scaling of Viscosity - I: A Case Study of Propane. JOURNAL OF CHEMICAL AND ENGINEERING DATA 2020; 65:10.1021/acs.jced.0c00209. [PMID: 33364635 PMCID: PMC7754705 DOI: 10.1021/acs.jced.0c00209] [Citation(s) in RCA: 18] [Impact Index Per Article: 4.5] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/12/2023]
Abstract
In this work, a broadly-applicable and simple approach for building high accuracy viscosity correlations is demonstrated for propane. The approach is based on the combination of a number of recent insights related to the use of residual entropy scaling, especially a new way of scaling the viscosity for consistency with the dilute-gas limit. With three adjustable parameters in the dense phase, the primary viscosity data for propane are predicted with a mean absolute relative deviation of 1.38%, and 95% of the primary data are predicted within a relative error band of less than 5%. The dimensionality of the dense-phase contribution is reduced from the conventional two dimensional approach (temperature and density) to a one-dimensional correlation with residual entropy as the independent variable. The simplicity of the model formulation ensures smooth extrapolation behavior (barring errors in the equation of state itself). The approach proposed here should be applicable to a wide range of chemical species. The supporting information includes the relevant data in tabular form and a Python implementation of the model.
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Affiliation(s)
- Ian H Bell
- Applied Chemicals and Materials Division, National Institute of Standards and Technology, Boulder, CO 80305
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24
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Cardona LF, Forero LA, Velásquez JA. Correlation and Prediction of Thermal Conductivity Using the Redlich–Kwong Cubic Equation of State and the Geometric Similitude Concept for Pure Substances and Mixtures. Ind Eng Chem Res 2019. [DOI: 10.1021/acs.iecr.9b04974] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Luis F. Cardona
- Pulp and Paper Research Group, Faculty of Chemical Engineering, Universidad Pontificia Bolivariana, A.A. 56006 Medellín, Antioquia, Colombia
| | - Luis A. Forero
- Pulp and Paper Research Group, Faculty of Chemical Engineering, Universidad Pontificia Bolivariana, A.A. 56006 Medellín, Antioquia, Colombia
| | - Jorge A. Velásquez
- Pulp and Paper Research Group, Faculty of Chemical Engineering, Universidad Pontificia Bolivariana, A.A. 56006 Medellín, Antioquia, Colombia
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25
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Hopp M, Gross J. Thermal Conductivity from Entropy Scaling: A Group-Contribution Method. Ind Eng Chem Res 2019. [DOI: 10.1021/acs.iecr.9b04289] [Citation(s) in RCA: 23] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Madlen Hopp
- Institute of Thermodynamics and Thermal Process Engineering, University of Stuttgart, 70569 Stuttgart, Germany
| | - Joachim Gross
- Institute of Thermodynamics and Thermal Process Engineering, University of Stuttgart, 70569 Stuttgart, Germany
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26
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Hopp M, Mele J, Hellmann R, Gross J. Thermal Conductivity via Entropy Scaling: An Approach That Captures the Effect of Intramolecular Degrees of Freedom. Ind Eng Chem Res 2019. [DOI: 10.1021/acs.iecr.9b03998] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Madlen Hopp
- Institute of Thermodynamics and Thermal Process Engineering, University of Stuttgart, 70569 Stuttgart, Germany
| | - Julia Mele
- Institute of Thermodynamics and Thermal Process Engineering, University of Stuttgart, 70569 Stuttgart, Germany
| | - Robert Hellmann
- Institute of Chemistry, University of Rostock, 18055 Rostock, Germany
| | - Joachim Gross
- Institute of Thermodynamics and Thermal Process Engineering, University of Stuttgart, 70569 Stuttgart, Germany
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27
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Bell IH, Messerly R, Thol M, Costigliola L, Dyre JC. Modified Entropy Scaling of the Transport Properties of the Lennard-Jones Fluid. J Phys Chem B 2019; 123:6345-6363. [PMID: 31241958 DOI: 10.1021/acs.jpcb.9b05808] [Citation(s) in RCA: 51] [Impact Index Per Article: 10.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Rosenfeld proposed two different scaling approaches to model the transport properties of fluids, separated by 22 years, one valid in the dilute gas, and another in the liquid phase. In this work, we demonstrate that these two limiting cases can be connected through the use of a novel approach to scaling transport properties and a bridging function. This approach, which is empirical and not derived from theory, is used to generate reference correlations for the transport properties of the Lennard-Jones 12-6 fluid of viscosity, thermal conductivity, and self-diffusion. This approach, with a very simple functional form, allows for the reproduction of the most accurate simulation data to within nearly their statistical uncertainty. The correlations are used to confirm that for the Lennard-Jones fluid the appropriately scaled transport properties are nearly monovariate functions of the excess entropy from low-density gases into the supercooled phase and up to extreme temperatures. This study represents the most comprehensive metastudy of the transport properties of the Lennard-Jones fluid to date.
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Affiliation(s)
- Ian H Bell
- Applied Chemicals and Materials Division , National Institute of Standards and Technology , Boulder , Colorado 80305 , United States
| | - Richard Messerly
- Applied Chemicals and Materials Division , National Institute of Standards and Technology , Boulder , Colorado 80305 , United States
| | - Monika Thol
- Thermodynamics , Ruhr-Universität Bochum , Universitätsstraße 150 , 44801 Bochum , Germany
| | - Lorenzo Costigliola
- DNRF Centre "Glass and Time," IMFUFA, Department of Science and Environment , Roskilde University , Postbox 260, DK-4000 Roskilde , Denmark
| | - Jeppe C Dyre
- DNRF Centre "Glass and Time," IMFUFA, Department of Science and Environment , Roskilde University , Postbox 260, DK-4000 Roskilde , Denmark
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Abstract
This article gives an overview of excess-entropy scaling, the 1977 discovery by Rosenfeld that entropy determines properties of liquids like viscosity, diffusion constant, and heat conductivity. We give examples from computer simulations confirming this intriguing connection between dynamics and thermodynamics, counterexamples, and experimental validations. Recent uses in application-related contexts are reviewed, and theories proposed for the origin of excess-entropy scaling are briefly summarized. It is shown that if two thermodynamic state points of a liquid have the same microscopic dynamics, they must have the same excess entropy. In this case, the potential-energy function exhibits a symmetry termed hidden scale invariance, stating that the ordering of the potential energies of configurations is maintained if these are scaled uniformly to a different density. This property leads to the isomorph theory, which provides a general framework for excess-entropy scaling and illuminates, in particular, why this does not apply rigorously and universally. It remains an open question whether all aspects of excess-entropy scaling and related regularities reflect hidden scale invariance in one form or other.
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Affiliation(s)
- Jeppe C Dyre
- Glass and Time, IMFUFA, Department of Science and Environment, Roskilde University, P.O. Box 260, DK-4000 Roskilde, Denmark
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Hopp M, Mele J, Gross J. Self-Diffusion Coefficients from Entropy Scaling Using the PCP-SAFT Equation of State. Ind Eng Chem Res 2018. [DOI: 10.1021/acs.iecr.8b02406] [Citation(s) in RCA: 33] [Impact Index Per Article: 5.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Madlen Hopp
- Institute of Thermodynamics and Thermal Process Engineering, University of Stuttgart, 70569 Stuttgart, Germany
| | - Julia Mele
- Institute of Thermodynamics and Thermal Process Engineering, University of Stuttgart, 70569 Stuttgart, Germany
| | - Joachim Gross
- Institute of Thermodynamics and Thermal Process Engineering, University of Stuttgart, 70569 Stuttgart, Germany
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Vega LF. Perspectives on molecular modeling of supercritical fluids: From equations of state to molecular simulations. Recent advances, remaining challenges and opportunities. J Supercrit Fluids 2018. [DOI: 10.1016/j.supflu.2017.12.025] [Citation(s) in RCA: 18] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022]
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Transport properties of HFC and HFO based refrigerants using an excess entropy scaling approach. J Supercrit Fluids 2018. [DOI: 10.1016/j.supflu.2017.09.006] [Citation(s) in RCA: 40] [Impact Index Per Article: 6.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
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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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Tian Y, Xu X, Wu J. Thermodynamic Route to Efficient Prediction of Gas Diffusivity in Nanoporous Materials. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2017; 33:11797-11803. [PMID: 28915726 DOI: 10.1021/acs.langmuir.7b02428] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
We report an efficient computational procedure for rapid and accurate prediction of the self-diffusivity of gas molecules in nanoporous materials by implementing the transition state theory for intercage hopping at infinite dilution with the string method in conjunction with the excess-entropy scaling for predicting gas diffusion coefficients at finite loadings. The theoretical procedure has been calibrated with molecular dynamics simulations for the diffusion coefficients of methane and hydrogen gases in representative nanoporous materials including metal organic frameworks and zeolites. Combined with the classical density functional theory for calculating the excess entropy of gas molecules in micropores, the theoretical procedure enables efficient computation of both thermodynamic and transport properties important for design and screening of nanostructured materials for gas storage and separation.
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Affiliation(s)
- Yun Tian
- Department of Chemical and Environmental Engineering, University of California , Riverside, California 92521, United States
| | - Xiaofei Xu
- Center for Soft Condensed Matter Physics and Interdisciplinary Research, Soochow University , Suzhou 215006, China
| | - Jianzhong Wu
- Department of Chemical and Environmental Engineering, University of California , Riverside, California 92521, United States
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