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Van‐Brunt A, Farrell PE, Monroe CW. Consolidated theory of fluid thermodiffusion. AIChE J 2022. [DOI: 10.1002/aic.17599] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
Affiliation(s)
- Alexander Van‐Brunt
- Mathematical Institute, University of Oxford Oxford UK
- The Faraday Institution Didcot UK
| | | | - Charles W. Monroe
- Department of Engineering Science University of Oxford Oxford UK
- The Faraday Institution Didcot UK
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2
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Hellmann R. Thermophysical Properties of Gaseous H2S–N2 Mixtures from First-Principles Calculations. ACTA ACUST UNITED AC 2018. [DOI: 10.1515/zpch-2018-1250] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022]
Abstract
Abstract
The cross second virial coefficient and three dilute gas transport properties (shear viscosity, thermal conductivity, and binary diffusion coefficient) of mixtures of hydrogen sulfide (H2S) and nitrogen (N2) were determined with high accuracy at temperatures up to 1200 K using statistical thermodynamics and the kinetic theory of molecular gases, respectively. The required intermolecular potential energy surface (PES) for the H2S–N2 interaction is presented in this work, while the H2S–H2S and N2–N2 PESs were reported previously. All three PESs are based on high-level quantum-chemical ab initio (i.e. first-principles) calculations. There is only very limited experimental information available on the second virial coefficients of H2S–N2 mixtures, and there appear to be no experimental data at all for the transport properties. Thus, the present predictions constitute a substantial increase in our knowledge of the thermophysical properties of this system, which are of practical relevance for modeling sour natural gas.
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Affiliation(s)
- Robert Hellmann
- Institut für Chemie, Universität Rostock , Albert-Einstein-Str. 3a , 18059 Rostock , Germany
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3
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Hellmann R, Bich E, Vesovic V. Calculation of the thermal conductivity of low-density CH4-N2 gas mixtures using an improved kinetic theory approach. J Chem Phys 2016; 144:134301. [PMID: 27059564 DOI: 10.1063/1.4945014] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
The thermal conductivity of low-density CH4-N2 gas mixtures has been calculated by means of the classical trajectory method using state-of-the-art intermolecular potential energy surfaces for the CH4-CH4, N2-N2, and CH4-N2 interactions. Results are reported in the temperature range from 70 K to 1200 K. Since the thermal conductivity is influenced by the vibrational degrees of freedom of the molecules, which are not included in the rigid-rotor classical trajectory computations, a new correction scheme to account for vibrational degrees of freedom in a dilute gas mixture is presented. The calculations show that the vibrational contribution at the highest temperature studied amounts to 46% of the total thermal conductivity of an equimolar mixture compared to 13% for pure nitrogen and 58% for pure methane. The agreement with the available experimental thermal conductivity data at room temperature is good, within ±1.4%, whereas at higher temperatures, larger deviations up to 4.5% are observed, which can be tentatively attributed to deteriorating performance of the measuring technique employed. Results are also reported for the magnitude and temperature dependence of the rotational collision number, Z(rot), for CH4 relaxing in collisions with N2 and for N2 relaxing in collisions with CH4. Both collision numbers increase with temperature, with the former being consistently about twice the value of the latter.
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Affiliation(s)
- Robert Hellmann
- Institut für Chemie, Universität Rostock, 18059 Rostock, Germany
| | - Eckard Bich
- Institut für Chemie, Universität Rostock, 18059 Rostock, Germany
| | - Velisa Vesovic
- Department of Earth Science and Engineering, Imperial College London, London SW7 2AZ, United Kingdom
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4
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Liu Y, Panesi M, Sahai A, Vinokur M. General multi-group macroscopic modeling for thermo-chemical non-equilibrium gas mixtures. J Chem Phys 2015; 142:134109. [DOI: 10.1063/1.4915926] [Citation(s) in RCA: 58] [Impact Index Per Article: 6.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/13/2023] Open
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5
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Hellmann R, Bich E, Vogel E, Vesovic V. Intermolecular potential energy surface and thermophysical properties of the CH4–N2 system. J Chem Phys 2014; 141:224301. [DOI: 10.1063/1.4902807] [Citation(s) in RCA: 43] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Robert Hellmann
- Institut für Chemie, Universität Rostock, 18059 Rostock, Germany
| | - Eckard Bich
- Institut für Chemie, Universität Rostock, 18059 Rostock, Germany
| | - Eckhard Vogel
- Institut für Chemie, Universität Rostock, 18059 Rostock, Germany
| | - Velisa Vesovic
- Department of Earth Science and Engineering, Imperial College London, London SW7 2AZ, United Kingdom
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6
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Pérez-Ríos J, Tejeda G, Fernández JM, Hernández MI, Montero S. Inelastic collisions in molecular oxygen at low temperature (4 ⩽T⩽ 34 K). Close-coupling calculations versus experiment. J Chem Phys 2011; 134:174307. [DOI: 10.1063/1.3585978] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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7
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Orsini A, Kustova EV. Elemental transport coefficients in viscous plasma flows near local thermodynamic equilibrium. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2009; 79:056309. [PMID: 19518564 DOI: 10.1103/physreve.79.056309] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/03/2009] [Indexed: 05/27/2023]
Abstract
We propose a convenient formulation of elemental transport coefficients in chemically reacting and plasma flows locally approaching thermodynamic equilibrium. A set of transport coefficients for elemental diffusion velocities, heat flux, and electric current is introduced. These coefficients relate the transport fluxes with the electric field and with the spatial gradients of elemental fractions, pressure, and temperature. The proposed formalism based on chemical elements and fully symmetric with the classical transport theory based on chemical species, is particularly suitable to model mixing and demixing phenomena due to diffusion of chemical elements. The aim of this work is threefold: to define a simple and rigorous framework suitable for numerical implementation, to allow order of magnitude estimations and qualitative predictions of elemental transport phenomena, and to gain a deeper insight into the physics of chemically reacting flows near local equilibrium.
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Affiliation(s)
- Alessio Orsini
- Avio Aerospace Propulsion, via I Maggio 99, Rivalta di Torino 10040, Italy.
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White RD, Robson RE, Morrison MA, Li B, Ness KF. Thev= 0 → 1 vibrational cross-section for e–H2scattering: An unresolved problem with wide implications. ACTA ACUST UNITED AC 2007. [DOI: 10.1088/1742-6596/71/1/012004] [Citation(s) in RCA: 9] [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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9
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Polyakov P, Zhang M, Müller-Plathe F, Wiegand S. Thermal diffusion measurements and simulations of binary mixtures of spherical molecules. J Chem Phys 2007; 127:014502. [PMID: 17627355 DOI: 10.1063/1.2746327] [Citation(s) in RCA: 26] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Thermal diffusion forced Rayleigh scattering measurements on binary mixtures of carbon tetrabromide (CBr(4)), tetraethylsilane, and di-tert-butylsilane in carbon tetrachloride (CCl(4)) are reported at different temperatures and concentrations. The Soret coefficient of CBr(4) in CCl(4) is positive and S(T) of both silanes in CCl(4) is negative, which implies that the heavier component always moves to the cold side. This is the expected behavior for unpolar simple molecules. Both silanes have the same mass so the influence of the difference in shape and moment of inertia could be studied. For all three systems, S(T) decreases with decreasing CCl(4) concentration. The results are discussed in the framework of thermodynamic theories and the Hildebrand parameter concept. Additionally, the Soret coefficients for both silaneCCl(4) systems were determined by nonequilibrium molecular-dynamics calculations. The simulations predict the correct direction of the thermophoretic motion and reflect the stronger drive toward the warm side for di-tert-butylsilane compared to the more symmetric tetraethylsilane. The values deviate systematically between 9% and 18% from the experimental values.
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Affiliation(s)
- Pavel Polyakov
- Forschungszentrum Jülich GmbH, IFF--Weiche Materie, D-52428 Jülich, Germany.
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10
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Mutual diffusion coefficient in binary mixtures in different aggregation states. Russ Chem Bull 2005. [DOI: 10.1007/s11172-006-0035-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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11
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Aspelmeier T, Huthmann M, Zippelius A. Free Cooling of Particles with Rotational Degrees of Freedom. GRANULAR GASES 2001. [DOI: 10.1007/3-540-44506-4_2] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 01/19/2023]
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12
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Flame structure and flame reaction kinetics II. Transport phenomena in multicomponent systems. ACTA ACUST UNITED AC 1997. [DOI: 10.1098/rspa.1968.0178] [Citation(s) in RCA: 95] [Impact Index Per Article: 3.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/12/2022]
Abstract
The transport fluxes in multicomponent flame systems due to diffusion and thermal conduction, and to thermal diffusion and its reciprocal effect, are considered from the standpoint of the extension of the Chapman–Enskog kinetic theory to polyatomic gases by Wang Chang, Uhlenbeck & de Boer (1951, 1964) and the subsequent development by Mason, Monchick and coworkers (1961-66). Equations are given for the various diffusional, thermal diffusional and thermal fluxes which it is necessary to derive in order to obtain reaction rates from experimental temperature and composition profiles in flames; and the organization of computer programs for calculation of the multicomponent diffusion and thermal diffusion coefficients and the thermal conductivity is described. The use of matrix partitioning techniques in suitable circumstances to reduce the amount of computation is also discussed. The expressions for the transport fluxes are next used to derive equations for the mole fraction and temperature gradients in flowing reaction systems such as flames where transport processes and reaction occur side by side. From the mole fraction and temperature at one point in the system it is then possible by a numerical integration method such as the Runge–Kutta procedure to compute the complete composition and temperature profiles. Two methods of obtaining the mole fraction and temperature gradients are described, one of which, the Stefan–Maxwell formulation, leads to the more economical computation. A hydrogen–oxygen–nitrogen–steam mixture was chosen under conditions which simulated the pre-reaction region of a hydrogen–oxygen–nitrogen flame that had been studied experimentally, and the detailed composition profiles due to diffusion were computed. The experimental method of measurement involved continuous sampling from the flame and mass spectrometric analysis, a technique which had not previously been checked on a flame system itself. Good agreement between theory and experiment was found when thermal diffusion was considered in the calculation, although the computed hydrogen profile was slightly displaced with respect to the experimental one. This last observation is possibly due to diffusion effects in the pressure gradient at the probe tip. Otherwise the experimental technique seemed to be satisfactory. The computed profiles also showed a number of interesting features such as a maximum in the nitrogen concentration profile caused by thermal diffusion effects.
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Metz SW, Aretz W, Wilhelmi H. Transporteigenschaften von Luft, H2/Luft- und CH4/Luft-Gemischen bei hohen Temperaturen. CHEM-ING-TECH 1994. [DOI: 10.1002/cite.330661020] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/11/2022]
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14
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Blaß E, Stephan K. Zur Definition des binären Diffusions-koeffizienten. CHEM-ING-TECH 1972. [DOI: 10.1002/cite.330442110] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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15
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Ghosh AK, Batabyal AK, Barua AK. Thermal Diffusion in Hydrogen—Helium Gas Mixture. J Chem Phys 1967. [DOI: 10.1063/1.1711915] [Citation(s) in RCA: 15] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- A. K. Ghosh
- Indian Association for the Cultivation of Science, Calcutta 32, India
| | - A. K. Batabyal
- Indian Association for the Cultivation of Science, Calcutta 32, India
| | - A. K. Barua
- Indian Association for the Cultivation of Science, Calcutta 32, India
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