Thermal diffusion in binary mixtures of smooth, nearly elastic spheres with and without gravity
A Revised Enskog theory, valid to second order in the Enskog approximation, is used to characterize the amount of thermal diffusion in a steady, fully developed flow of a binary mixture of hard, inelastic spheres. The dependence of the thermal diffusion factor on mixture volume fraction, mole fracti...
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| Published in | Physics of fluids (1994) Vol. 10; no. 6; pp. 1324 - 1328 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
01.06.1998
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| Online Access | Get full text |
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| Abstract | A Revised Enskog theory, valid to second order in the Enskog approximation, is used to characterize the amount of thermal diffusion in a steady, fully developed flow of a binary mixture of hard, inelastic spheres. The dependence of the thermal diffusion factor on mixture volume fraction, mole fraction, radii ratio, and material density ratio is explored in the presence and absence of gravity. |
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| AbstractList | A Revised Enskog theory, valid to second order in the Enskog approximation, is used to characterize the amount of thermal diffusion in a steady, fully developed flow of a binary mixture of hard, inelastic spheres. The dependence of the thermal diffusion factor on mixture volume fraction, mole fraction, radii ratio, and material density ratio is explored in the presence and absence of gravity. |
| Author | Arnarson, Birgir Ö. Willits, Jeffrey T. |
| Author_xml | – sequence: 1 givenname: Birgir Ö. surname: Arnarson fullname: Arnarson, Birgir Ö. organization: Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, New York 14853 – sequence: 2 givenname: Jeffrey T. surname: Willits fullname: Willits, Jeffrey T. organization: School of Chemical Engineering, Cornell University, Ithaca, New York 14853 |
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| References | Zamankhan (r8) 1997; 123 Kincaid, Cohen, de Haro (r3) 1987; 86 Mansoori, Carnahan, Starling, Leland (r4) 1971; 54 Jenkins, Mancini (r1) 1989; 1 de Haro, Cohen, Kincaid (r2) 1983; 78 (2024020618390192000_r1) 1989; 1 (2024020618390192000_r4) 1971; 54 2024020618390192000_r5 (2024020618390192000_r8) 1997; 123 2024020618390192000_r6 2024020618390192000_r10 2024020618390192000_r7 (2024020618390192000_r3) 1987; 86 2024020618390192000_r9 (2024020618390192000_r2) 1983; 78 |
| References_xml | – volume: 1 start-page: 2050 year: 1989 ident: r1 article-title: Kinetic theory for binary mixtures of smooth, nearly elastic spheres publication-title: Phys. Fluids A contributor: fullname: Mancini – volume: 54 start-page: 1523 year: 1971 ident: r4 article-title: Equilibrium thermodynamic properties of the mixture of hard spheres publication-title: J. Chem. Phys. contributor: fullname: Leland – volume: 86 start-page: 963 year: 1987 ident: r3 article-title: The Enskog theory for multicomponent mixtures. IV. Thermal diffusion publication-title: J. Chem. Phys. contributor: fullname: de Haro – volume: 123 start-page: 235 year: 1997 ident: r8 article-title: Comment and authors’ reply on ‘Granular thermal diffusion in flows of binary-sized mixtures’ publication-title: Acta Mech. contributor: fullname: Zamankhan – volume: 78 start-page: 2746 year: 1983 ident: r2 article-title: The Enskog theory for multicomponent mixtures. I. Linear transport theory publication-title: J. Chem. Phys. contributor: fullname: Kincaid – ident: 2024020618390192000_r7 – ident: 2024020618390192000_r10 – ident: 2024020618390192000_r6 – ident: 2024020618390192000_r9 – volume: 1 start-page: 2050 year: 1989 ident: 2024020618390192000_r1 article-title: Kinetic theory for binary mixtures of smooth, nearly elastic spheres publication-title: Phys. Fluids A doi: 10.1063/1.857479 – volume: 54 start-page: 1523 year: 1971 ident: 2024020618390192000_r4 article-title: Equilibrium thermodynamic properties of the mixture of hard spheres publication-title: J. Chem. Phys. doi: 10.1063/1.1675048 – ident: 2024020618390192000_r5 – volume: 78 start-page: 2746 year: 1983 ident: 2024020618390192000_r2 article-title: The Enskog theory for multicomponent mixtures. I. Linear transport theory publication-title: J. Chem. Phys. doi: 10.1063/1.444985 – volume: 86 start-page: 963 year: 1987 ident: 2024020618390192000_r3 article-title: The Enskog theory for multicomponent mixtures. IV. Thermal diffusion publication-title: J. Chem. Phys. doi: 10.1063/1.452243 – volume: 123 start-page: 235 year: 1997 ident: 2024020618390192000_r8 article-title: Comment and authors’ reply on ‘Granular thermal diffusion in flows of binary-sized mixtures’ publication-title: Acta Mech. doi: 10.1007/BF01178413 |
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