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Lee BH, Sakano MN, Larentzos JP, Brennan JK, Strachan A. A coarse-grain reactive model of RDX: Molecular resolution at the μm scale. J Chem Phys 2023; 158:024702. [PMID: 36641383 DOI: 10.1063/5.0122940] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022] Open
Abstract
Predictive models for the thermal, chemical, and mechanical response of high explosives at extreme conditions are important for investigating their performance and safety. We introduce a particle-based, reactive model of 1,3,5-trinitro-1,3,5-triazinane (RDX) with molecular resolution utilizing generalized energy-conserving dissipative particle dynamics with reactions. The model is parameterized with respect to the data from atomistic molecular dynamics simulations as well as from quantum mechanical calculations, thus bridging atomic processes to the mesoscales, including microstructures and defects. It accurately captures the response of RDX under a range of thermal loading conditions compared to atomistic simulations. In addition, the Hugoniot response of the CG model in the overdriven regime reasonably matches atomistic simulations and experiments. Exploiting the model's high computational efficiency, we investigate mesoscale systems involving millions of molecules and characterize size-dependent criticality of hotspots in RDX. The combination of accuracy and computational efficiency of our reactive model provides a tool for investigation of mesoscale phenomena, such as the role of microstructures and defects in the shock-to-deflagration transition, through particle-based simulation.
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Affiliation(s)
- Brian H Lee
- School of Materials Engineering and Birck Nanotechnology Center, Purdue University, West Lafayette, Indiana 47907, USA
| | - Michael N Sakano
- School of Materials Engineering and Birck Nanotechnology Center, Purdue University, West Lafayette, Indiana 47907, USA
| | - James P Larentzos
- U.S. Army Combat Capabilities Development Command (DEVCOM) Army Research Laboratory, Aberdeen Proving Ground, Maryland 21005, USA
| | - John K Brennan
- U.S. Army Combat Capabilities Development Command (DEVCOM) Army Research Laboratory, Aberdeen Proving Ground, Maryland 21005, USA
| | - Alejandro Strachan
- School of Materials Engineering and Birck Nanotechnology Center, Purdue University, West Lafayette, Indiana 47907, USA
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2
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Lísal M, Larentzos JP, Avalos JB, Mackie AD, Brennan JK. Generalized Energy-Conserving Dissipative Particle Dynamics with Reactions. J Chem Theory Comput 2022; 18:2503-2512. [PMID: 35294175 DOI: 10.1021/acs.jctc.1c01294] [Citation(s) in RCA: 5] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Abstract
We present an extension of the generalized energy-conserving dissipative particle dynamics method (J. Bonet Avalos, et al., Phys Chem Chem Phys, 2019, 21, 24891-24911) to include chemical reactivity, denoted GenDPDE-RX. GenDPDE-RX provides a means of simulating chemical reactivity at the micro- and mesoscales, while exploiting the attributes of density- and temperature-dependent many-body force fields, which include improved transferability and scalability compared to two-body pairwise models. The GenDPDE-RX formulation considers intra-particle reactivity via a coarse-grain reactor construct. Extent-of-reaction variables assigned to each coarse-grain particle monitor the temporal evolution of the prescribed reaction mechanisms and kinetics assumed to occur within the particle. Descriptions of the algorithm, equations of motion, and numerical discretization are presented, followed by verification of the GenDPDE-RX method through comparison with reaction kinetics theoretical model predictions. Demonstrations of the GenDPDE-RX method are performed using constant-volume adiabatic heating simulations of three different reaction models, including both reversible and irreversible reactions, as well as multistep reaction mechanisms. The selection of the demonstrations is intended to illustrate the flexibility and generality of the method but is inspired by real material systems that span from fluids to solids. Many-body force fields using analytical forms of the ideal gas, Lennard-Jones, and exponential-6 equations of state are used for demonstration, although application to other forms of equation of states is possible. Finally, the flexibility of the GenDPDE-RX framework is addressed with a brief discussion of other possible adaptations and extensions of the method.
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Affiliation(s)
- Martin Lísal
- Department of Molecular and Mesoscopic Modelling, The Czech Academy of Sciences, Institute of Chemical Process Fundamentals, Prague 165 01, Czech Republic.,Department of Physics, Faculty of Science, Jan Evangelista Purkyně University in Ústí nad Labem, Ústí n. Lab. 400 96, Czech Republic
| | - James P Larentzos
- U.S. Army Combat Capabilities Development Command (DEVCOM) Army Research Laboratory, Aberdeen Proving Ground, Maryland 21005, United States
| | - Josep Bonet Avalos
- Departament d'Enginyeria Química, ETSEQ, Universitat Rovira i Virgili, Tarragona 43007, Spain
| | - Allan D Mackie
- Departament d'Enginyeria Química, ETSEQ, Universitat Rovira i Virgili, Tarragona 43007, Spain
| | - John K Brennan
- U.S. Army Combat Capabilities Development Command (DEVCOM) Army Research Laboratory, Aberdeen Proving Ground, Maryland 21005, United States
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3
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Zhang L, Grace PM, Sun DW. A new theoretical model for moisture sorption isotherms and its application in deriving a hygroscopicity index for food products. J FOOD ENG 2022. [DOI: 10.1016/j.jfoodeng.2021.110817] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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4
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Lauwaert J, Van de Steene E, Vermeir P, De Clercq J, Thybaut JW. Critical Assessment of the Thermodynamics in Acidic Resin-Catalyzed Esterifications. Ind Eng Chem Res 2020. [DOI: 10.1021/acs.iecr.0c05027] [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)
- Jeroen Lauwaert
- Industrial Catalysis and Adsorption Technology (INCAT), Department of Materials, Textiles, and Chemical Engineering, Ghent University, Valentin Vaerwyckweg 1, 9000 Ghent, Belgium
| | - Evelien Van de Steene
- Industrial Catalysis and Adsorption Technology (INCAT), Department of Materials, Textiles, and Chemical Engineering, Ghent University, Valentin Vaerwyckweg 1, 9000 Ghent, Belgium
- Laboratory for Chemical Technology (LCT), Department of Materials, Textiles, and Chemical Engineering, Ghent University, Technologiepark 125, 9052 Ghent, Belgium
| | - Pieter Vermeir
- Laboratory for Chemical Analyses (LCA), Department of Green Chemistry and Technology, Ghent University, Valentin Vaerwyckweg 1, 9000 Ghent, Belgium
| | - Jeriffa De Clercq
- Industrial Catalysis and Adsorption Technology (INCAT), Department of Materials, Textiles, and Chemical Engineering, Ghent University, Valentin Vaerwyckweg 1, 9000 Ghent, Belgium
| | - Joris W. Thybaut
- Laboratory for Chemical Technology (LCT), Department of Materials, Textiles, and Chemical Engineering, Ghent University, Technologiepark 125, 9052 Ghent, Belgium
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Akhouri BP, Solana JR. Monte Carlo simulation and theoretical calculation of the thermodynamic properties of binary hard-core Lennard-Jones fluid mixtures. MOLECULAR SIMULATION 2020. [DOI: 10.1080/08927022.2020.1806264] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- B. P. Akhouri
- Department of Physics, Birsa College, Khunti, Jharkhand, India
| | - J. R. Solana
- Department of Applied Physics, University of Cantabria, Santander, Spain
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Shi K, Santiso EE, Gubbins KE. Conformal Sites Theory for Adsorbed Films on Energetically Heterogeneous Surfaces. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2020; 36:1822-1838. [PMID: 31983207 DOI: 10.1021/acs.langmuir.9b03633] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
We present a conformal sites theory for a solid substrate whose surface is both geometrically and energetically heterogeneous and that interacts with an adsorbed film. The theory is based on a perturbation expansion for the grand potential of a real system with a rough surface about that of a reference system with an ideal reference surface, thus mapping the real system onto a much simpler interfacial system. The expansion is in powers of the intermolecular potential parameters, and leads to mixing rules for the potential parameters of the reference system. Grand canonical Monte Carlo simulations for the adsorption of argon at 87.3 K, carbon dioxide at 273 K, and water vapor at 298 K on heterogeneous carbon surfaces are investigated to explore the limits of applicability of the theory. Simulation results indicate that the theory works well with typical asymmetry of the potential parameters in the force field. However, care should be taken when applying the theory to strongly associating fluids and in the low-pressure region where the active surface sites play an important role. The conformal sites theory can be used to predict the adsorption properties and to characterize the solid substrate by taking advantage of the corresponding states principle. Other possible applications are also discussed.
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Affiliation(s)
- Kaihang Shi
- Department of Chemical & Biomolecular Engineering , North Carolina State University , Raleigh , North Carolina 27606 , United States
| | - Erik E Santiso
- Department of Chemical & Biomolecular Engineering , North Carolina State University , Raleigh , North Carolina 27606 , United States
| | - Keith E Gubbins
- Department of Chemical & Biomolecular Engineering , North Carolina State University , Raleigh , North Carolina 27606 , United States
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Lísal M, Larentzos JP, Sellers MS, Schweigert IV, Brennan JK. Dissipative particle dynamics with reactions: Application to RDX decomposition. J Chem Phys 2019; 151:114112. [DOI: 10.1063/1.5117904] [Citation(s) in RCA: 16] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/06/2023] Open
Affiliation(s)
- Martin Lísal
- Department of Molecular and Mesoscopic Modelling, Institute of Chemical Process Fundamentals of the CAS, Prague, Czech Republic
- Department of Physics, Faculty of Science, J. E. Purkinje University, Ústí n. Lab., Czech Republic
| | - James P. Larentzos
- Weapons and Materials Research Directorate, U.S. Army Combat Capabilities Development Command Army Research Laboratory, Aberdeen Proving Ground, Maryland 21005-5066, USA
| | - Michael S. Sellers
- Weapons and Materials Research Directorate, U.S. Army Combat Capabilities Development Command Army Research Laboratory, Aberdeen Proving Ground, Maryland 21005-5066, USA
| | - Igor V. Schweigert
- Code 6189, Theoretical Chemistry Section, U.S. Naval Research Laboratory, Washington, DC 20375, USA
| | - John K. Brennan
- Weapons and Materials Research Directorate, U.S. Army Combat Capabilities Development Command Army Research Laboratory, Aberdeen Proving Ground, Maryland 21005-5066, USA
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Kollau LJ, Vis M, van den Bruinhorst A, de With G, Tuinier R. Activity modelling of the solid–liquid equilibrium of deep eutectic solvents. PURE APPL CHEM 2019. [DOI: 10.1515/pac-2018-1014] [Citation(s) in RCA: 16] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/03/2023]
Abstract
Abstract
Compared to conventional solvents used in the chemical industry, deep eutectic solvents (DESs) are considered as promising potentially sustainable solvents. DESs are binary mixtures and the resulting liquid mixture is characterized by a large melting point depression with respect to the melting temperatures of its constituents. The relative melting point depression becomes larger as the two components have stronger attractive interactions, resulting in non-ideal behavior. The compositional range over which such binary mixtures are liquids is set by the location of the solid–liquid phase boundary. Here we present experimental phase diagrams of various recent and new DESs that vary in the degree of non-ideality. We investigate whether thermodynamic models are able to describe the solid–liquid equilibria and focus on relating the parameters of these models to the non-ideal behavior, including asymmetric behavior of the activity coefficients. It is shown that the orthogonal Redlich–Kister-like polynomial (OP) expansion, including an additional first order term, provides an accurate description. This theory can be considered as an extension of regular solution theory and enables physical interpretation of the fit parameters.
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Affiliation(s)
- Laura J.B.M. Kollau
- Laboratory of Physical Chemistry , Department of Chemical Engineering and Chemistry , Eindhoven University of Technology , P.O. Box 513 , 5600MB Eindhoven , The Netherlands
- Institute for Complex Molecular Systems , Eindhoven University of Technology , Eindhoven , The Netherlands
| | - Mark Vis
- Laboratory of Physical Chemistry , Department of Chemical Engineering and Chemistry , Eindhoven University of Technology , P.O. Box 513 , 5600MB Eindhoven , The Netherlands
- Institute for Complex Molecular Systems , Eindhoven University of Technology , Eindhoven , The Netherlands
| | - Adriaan van den Bruinhorst
- Laboratory of Physical Chemistry , Department of Chemical Engineering and Chemistry , Eindhoven University of Technology , P.O. Box 513 , 5600MB Eindhoven , The Netherlands
| | - Gijsbertus de With
- Laboratory of Physical Chemistry , Department of Chemical Engineering and Chemistry , Eindhoven University of Technology , P.O. Box 513 , 5600MB Eindhoven , The Netherlands
| | - Remco Tuinier
- Laboratory of Physical Chemistry , Department of Chemical Engineering and Chemistry , Eindhoven University of Technology , P.O. Box 513 , 5600MB Eindhoven , The Netherlands
- Institute for Complex Molecular Systems , Eindhoven University of Technology , Eindhoven , The Netherlands
- Van ’t Hoff Laboratory for Physical and Colloid Chemistry, Debye Institute for Nanomaterials Science , Utrecht University , Utrecht , The Netherlands
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10
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Luo W, Yan M, Sheng X, Tao B, Shi S, Deng W, Yang W, Luo S. A Unified Thermodynamics Model for Solid–Liquid Equilibrium, Liquid–Liquid Equilibrium, and Vapor–Liquid Equilibrium of Cyclohexane Oxidation Systems: NRTL Model. Ind Eng Chem Res 2019. [DOI: 10.1021/acs.iecr.9b00921] [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)
- Weiping Luo
- College of Chemistry and Chemical Engineering, Hunan University, Changsha 410082, P. R. China
| | - Mengqi Yan
- College of Chemistry and Chemical Engineering, Hunan University, Changsha 410082, P. R. China
| | - XiaoXiao Sheng
- College of Chemistry and Chemical Engineering, Hunan University, Changsha 410082, P. R. China
| | - Bao Tao
- College of Chemistry and Chemical Engineering, Hunan University, Changsha 410082, P. R. China
| | - Sile Shi
- College of Chemistry and Chemical Engineering, Hunan University, Changsha 410082, P. R. China
| | - Wei Deng
- College of Chemistry and Chemical Engineering, Hunan University, Changsha 410082, P. R. China
| | - Weijun Yang
- College of Chemistry and Chemical Engineering, Hunan University, Changsha 410082, P. R. China
| | - Siqi Luo
- Life Science College, Luoyang Normal University, Luoyang 471000, P. R. China
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11
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Saravi SH, Ravichandran A, Khare R, Chen CC. Bridging two-liquid theory with molecular simulations for electrolytes: An investigation of aqueous NaCl solution. AIChE J 2019. [DOI: 10.1002/aic.16521] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022]
Affiliation(s)
- Sina H. Saravi
- Dept. of Chemical Engineering; Texas Tech University; Lubbock TX 79409
| | | | - Rajesh Khare
- Dept. of Chemical Engineering; Texas Tech University; Lubbock TX 79409
| | - Chau-Chyun Chen
- Dept. of Chemical Engineering; Texas Tech University; Lubbock TX 79409
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12
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Larentzos JP, Mansell JM, Lísal M, Brennan JK. Coarse-grain modelling using an equation-of-state many-body potential: application to fluid mixtures at high temperature and high pressure. Mol Phys 2018. [DOI: 10.1080/00268976.2018.1459920] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
Affiliation(s)
- James P. Larentzos
- U.S. Army Research Laboratory, Weapons and Materials Research Directorate , Aberdeen Proving Ground, MD, USA
| | - J. Matthew Mansell
- Department of Chemical and Biomolecular Engineering, North Carolina State University , Raleigh, NC, USA
| | - Martin Lísal
- Department of Molecular and Mesoscopic Modelling, Institute of Chemical Process Fundamentals of the CAS, v. v. i. , Prague, Czech Republic
- Department of Physics, Faculty of Science, J. E. Purkinje University , Ústí n. Lab., Czech Republic
| | - John K. Brennan
- U.S. Army Research Laboratory, Weapons and Materials Research Directorate , Aberdeen Proving Ground, MD, USA
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13
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Ravichandran A, Khare R, Chen C. Predicting NRTL binary interaction parameters from molecular simulations. AIChE J 2018. [DOI: 10.1002/aic.16117] [Citation(s) in RCA: 19] [Impact Index Per Article: 3.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
Affiliation(s)
- Ashwin Ravichandran
- Dept. of Chemical EngineeringTexas Tech University, Box 43121Lubbock TX 79409
| | - Rajesh Khare
- Dept. of Chemical EngineeringTexas Tech University, Box 43121Lubbock TX 79409
| | - Chau‐Chyun Chen
- Dept. of Chemical EngineeringTexas Tech University, Box 43121Lubbock TX 79409
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14
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Tan Q, Leng Y, Wang J, Huang C, Yuan Y. Correlation and prediction of the solubility of the racemic tartaric acid–ethanol–water system with the NRTL model. J Mol Liq 2016. [DOI: 10.1016/j.molliq.2016.01.080] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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15
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Gebreyohannes S, Dadmohammadi Y, Neely BJ, Gasem KAM. A Comparative Study of QSPR Generalized Activity Coefficient Model Parameters for Vapor–Liquid Equilibrium Mixtures. Ind Eng Chem Res 2016. [DOI: 10.1021/acs.iecr.5b03858] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Solomon Gebreyohannes
- School
of Chemical Engineering, Oklahoma State University, Stillwater, Oklahoma 74078, United States
| | - Younas Dadmohammadi
- School
of Chemical Engineering, Oklahoma State University, Stillwater, Oklahoma 74078, United States
| | - Brian J. Neely
- School
of Chemical Engineering, Oklahoma State University, Stillwater, Oklahoma 74078, United States
| | - Khaled A. M. Gasem
- Department of Chemical & Petroleum Engineering, University of Wyoming, Laramie, Wyoming 82071, United States
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16
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Gebreyohannes S, Neely BJ, Gasem KAM. Generalized Interaction Parameter for the Modified Nonrandom Two-Liquid (NRTL) Activity Coefficient Model. Ind Eng Chem Res 2014. [DOI: 10.1021/ie503135c] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Solomon Gebreyohannes
- Oklahoma State University, School of Chemical Engineering, Stillwater, Oklahoma 74078, United States
| | - Brian J. Neely
- Oklahoma State University, School of Chemical Engineering, Stillwater, Oklahoma 74078, United States
| | - Khaled A. M. Gasem
- Oklahoma State University, School of Chemical Engineering, Stillwater, Oklahoma 74078, United States
- University of Wyoming, Department of Chemical and Petroleum
Engineering, Laramie, Wyoming 82071, United States
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17
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Gebreyohannes S, Neely BJ, Gasem KAM. Generalized Nonrandom Two-Liquid (NRTL) Interaction Model Parameters for Predicting Liquid–Liquid Equilibrium Behavior. Ind Eng Chem Res 2014. [DOI: 10.1021/ie501699a] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Solomon Gebreyohannes
- School
of Chemical Engineering, Oklahoma State University, Stillwater, Oklahoma 74078, United States
| | - Brian J. Neely
- School
of Chemical Engineering, Oklahoma State University, Stillwater, Oklahoma 74078, United States
| | - Khaled A. M. Gasem
- School
of Chemical Engineering, Oklahoma State University, Stillwater, Oklahoma 74078, United States
- Department of Chemical & Petroleum Engineering, University of Wyoming, Laramie, Wyoming 82071, United States
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Derevich IV, Ermolaev VS, Zol’nikova NV, Mordkovich VZ. Thermodynamics of wax formation in the fischer-tropsch synthesis products. THEORETICAL FOUNDATIONS OF CHEMICAL ENGINEERING 2013. [DOI: 10.1134/s0040579513020024] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
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21
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Fuks S, Bellemans A. Excess Free Energies and Volumes of two Simple Binary Liquid Mixtures: Methane-Krypton and Nitrogen-Methane. ACTA ACUST UNITED AC 2010. [DOI: 10.1002/bscb.19670760503] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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23
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Focke WW. Weighted-Power-Mean Mixture Model for the Gibbs Energy of Fluid Mixtures. Ind Eng Chem Res 2009. [DOI: 10.1021/ie900083h] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Walter W. Focke
- Institute of Applied Materials, Department of Chemical Engineering, University of Pretoria, Pretoria 0002, South Africa
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Focke WW, Sandrock C, Kok S. Weighted-Power-Mean Mixture Model: Application to Multicomponent Liquid Viscosity. Ind Eng Chem Res 2007. [DOI: 10.1021/ie061465m] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Walter W. Focke
- Institute of Applied Materials, Departments of Chemical and Mechanical Engineering, University of Pretoria, Lynnwood Road, Pretoria 0001, South Africa
| | - Carl Sandrock
- Institute of Applied Materials, Departments of Chemical and Mechanical Engineering, University of Pretoria, Lynnwood Road, Pretoria 0001, South Africa
| | - Schalk Kok
- Institute of Applied Materials, Departments of Chemical and Mechanical Engineering, University of Pretoria, Lynnwood Road, Pretoria 0001, South Africa
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25
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LIU YUNDA, HARVEY ALLANH, PRAUSNITZ JOHNM. THERMODYNAMICS OF CONCENTRATED ELECTROLYTE SOLUTIONS. CHEM ENG COMMUN 2007. [DOI: 10.1080/00986448908940172] [Citation(s) in RCA: 27] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- YUNDA LIU
- a Materials and Chemical Sciences Division , Lawrence Berkeley Laboratory , Berkeley, California, 94720
- b Chemical Engineering Department , University of California , Berkeley, California, 94720
| | - ALLAN H. HARVEY
- a Materials and Chemical Sciences Division , Lawrence Berkeley Laboratory , Berkeley, California, 94720
- b Chemical Engineering Department , University of California , Berkeley, California, 94720
| | - JOHN M. PRAUSNITZ
- a Materials and Chemical Sciences Division , Lawrence Berkeley Laboratory , Berkeley, California, 94720
- b Chemical Engineering Department , University of California , Berkeley, California, 94720
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26
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Girardeau MD, Mazo RM. Variational Methods in Statistical Mechanics. ADVANCES IN CHEMICAL PHYSICS 2007. [DOI: 10.1002/9780470143766.ch4] [Citation(s) in RCA: 35] [Impact Index Per Article: 2.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 02/08/2023]
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27
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The Principle of Corresponding States for Chain-Molecule Liquids and their mixtures. ADVANCES IN CHEMICAL PHYSICS 2007. [DOI: 10.1002/9780470143612.ch5] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register]
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Focke WW. Mixture Model for Correlating Excess Enthalpy Data. JOURNAL OF CHEMICAL ENGINEERING OF JAPAN 2007. [DOI: 10.1252/jcej.40.295] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
Affiliation(s)
- Walter W. Focke
- Institute of Applied Materials, Department of Chemical Engineering, University of Pretoria
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31
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Affiliation(s)
- K.S. Shing
- a Department of Chemical Engineering , University of Southern California , Los Angeles , California , 90089 , U.S.A
| | - K.E. Gubbins
- b School of Chemical Engineering, Cornell University , Ithaca , New York , 14853 , U.S.A
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32
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Curzon AE, Mascall AJ. An electron diffraction study of solidified mixtures of argon and krypton and of argon and neon. ACTA ACUST UNITED AC 2002. [DOI: 10.1088/0022-3719/2/2/304] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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33
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Focke WW. Local Composition Structured Fluid Model for the Excess Gibbs Energy of Liquid Mixtures. Ind Eng Chem Res 2001. [DOI: 10.1021/ie000693s] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Walter W. Focke
- IAM, Department of Chemical Engineering, University of Pretoria, P.O. Box 35285, Menlo Park, Pretoria 0102, South Africa
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Greberg H, Paolini GV, Satherley J, Penfold R, Nordholm S. Generalized van der Waals Theory of Interfaces in Simple Fluid Mixtures. J Colloid Interface Sci 2001; 235:334-343. [PMID: 11254311 DOI: 10.1006/jcis.2000.7314] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
An efficient implementation of the generalized van der Waals theory of fluids is presented for the calculation of surface tension in simple fluid mixtures. While detailed correlation analysis is avoided the dominant binding energy contribution and the negative contribution due to the nonlocal entropy are accounted for in the free energy density functional by simple physical approximations of the type originally introduced by van der Waals. Efficient computation is achieved by the use of a single-parameter optimization of a tanh-shaped profile representing the total density as well as the composition variation across the interface. This simple profile nevertheless incorporates the expected adsorption to the interface of the volatile component. Application is made to argon/krypton mixtures represented by Lennard-Jones potentials and Lorentz-Berthelot combining rules. Surface tension predictions compare well with both experimental observations and computer simulation results which also indicated close agreement in particle density profiles, especially if the Berthelot rule is amended with a binary interaction parameter slightly (3%) less than unity. Copyright 2001 Academic Press.
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Affiliation(s)
- Hans Greberg
- Department of Chemistry, University of Liverpool, Liverpool, L69 7ZD, United Kingdom
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Curzon AE, Eastell MJ. An electron diffraction study of solidified binary mixtures of nitrogen with argon, neon or xenon. ACTA ACUST UNITED AC 2001. [DOI: 10.1088/0022-3719/4/6/005] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
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Barrio C, Largo J, Solana J. A corresponding states principle for the equation of state of hard body fluid mixtures. Chem Phys 2001. [DOI: 10.1016/s0301-0104(00)00360-8] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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Kito-Borsa T, Pacas DA, Selim S, Cowley SW. Properties of an Ethanol−Diethyl Ether−Water Fuel Mixture for Cold-Start Assistance of an Ethanol-Fueled Vehicle. Ind Eng Chem Res 1998. [DOI: 10.1021/ie970171l] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Tomoko Kito-Borsa
- Department of Chemistry and Geochemistry, Colorado School of Mines, Golden, Colorado 80401
| | - Debra A. Pacas
- Department of Chemistry and Geochemistry, Colorado School of Mines, Golden, Colorado 80401
| | - Sami Selim
- Department of Chemistry and Geochemistry, Colorado School of Mines, Golden, Colorado 80401
| | - Scott W. Cowley
- Department of Chemistry and Geochemistry, Colorado School of Mines, Golden, Colorado 80401
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Affiliation(s)
- Dee-Wen Wu
- Department of Chemical Engineering, The Johns Hopkins University, Baltimore, Maryland 21218
| | - Yuping Cui
- Department of Chemical Engineering, The Johns Hopkins University, Baltimore, Maryland 21218
| | - Marc D. Donohue
- Department of Chemical Engineering, The Johns Hopkins University, Baltimore, Maryland 21218
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Ruiz C, Coca J, Vega A, Díez FV. Extractive Distillation of Hydrocarbons with Dimethylformamide: Experimental and Simulation Data. Ind Eng Chem Res 1997. [DOI: 10.1021/ie9702035] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- César Ruiz
- Department of Chemical and Environmental Engineering, University of Oviedo, 33071 Oviedo, Spain
| | - José Coca
- Department of Chemical and Environmental Engineering, University of Oviedo, 33071 Oviedo, Spain
| | - Aurelio Vega
- Department of Chemical and Environmental Engineering, University of Oviedo, 33071 Oviedo, Spain
| | - Fernando V. Díez
- Department of Chemical and Environmental Engineering, University of Oviedo, 33071 Oviedo, Spain
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The statistical thermodynamics of mixtures of Lennard-Jones molecules II. Deviations from random mixing. ACTA ACUST UNITED AC 1997. [DOI: 10.1098/rsta.1957.0020] [Citation(s) in RCA: 23] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
Abstract
This paper describes a new statistical treatment of ordering effects in mixtures of spherical molecules, based on a general expansion of the Helmholtz free-energy function about the condition of random mixing. This expansion is similar to that introduced by Kirkwood (1938) for lattice theories, but unlike the latter is based only on the canonical distribution of petit ensemble theory. It is shown that for mixtures of Lennard-Jones molecules the moments in the expansion can be reduced to non-thermodynamic statistical functions of a single reference substance; and by using the assumptions of the cell model, these functions are related to thermodynamic properties. The first approximations for the thermodynamic functions of ordering are discussed for a certain class of mixtures, and it is shown that although ordering effects are small in mixtures of molecules of equal size, they can be large when the molecules differ in size. The equations are used to calculate the ordering effects in liquid mixtures of carbon monoxide and methane.
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Abstract
This paper describes a theoretical contribution to the statistical thermodynamics of mixtures of spherical molecules. The second-order perturbation free energy of a conformal solution is obtained by a rigorous Taylor-series expansion of the configuration integral in powers of the differences between intermolecular energy and size parameters, about an ideal unperturbed reference solution. Unlike the first-order terms, those of the second order contain statistical functions of the reference solution which cannot, in general, be related to its thermodynamic properties. All but one of these functions are concerned with departures from a random molecular distribution, and have been called
molecular fluctuation integrals
; the remaining function can be related exactly to thermodynamic properties for the Lennard-Jones form of the intermolecular potential. The expressions for the molecular fluctuation integrals implied by the full random mixing approximation and by the semi-random mixing approximation of the cell theory, are derived and compared with the correct expressions given by the cell theory. The role of the Taylor series expansion as a critique of solution theories is discussed.
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Dewan RK, Mehta SK, Parashar R, Bala K. Topological investigations on the association of alkanols: excess volume of pyridine–alkanol (C1–C10) mixtures. ACTA ACUST UNITED AC 1991. [DOI: 10.1039/ft9918701561] [Citation(s) in RCA: 38] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Zarragoicoechea GJ, Scalise OH, Rodríguez AE, Gianotti RD. On the gas–liquid critical curves of different size hard‐spheres binary mixtures interacting via the Lennard‐Jones potential. J Chem Phys 1989. [DOI: 10.1063/1.457328] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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McGuigan D, Monson P. Vapour-liquid critical lines predicted by distribution function theories. Mol Phys 1987. [DOI: 10.1080/00268978700102021] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Stephan K. Anwendung der Mischphasen-Thermodynamik auf die Berechnung von thermischen Stofftrennverfahren. CHEM-ING-TECH 1980. [DOI: 10.1002/cite.330520304] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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