Nonequilibrium statistical thermodynamics: nonequilibrium grand ensemble method for sheared dilute gases
Nonequilibrium statistical thermodynamics: nonequilibrium grand ensemble method for sheared dilute gases
The nonequilibrium grand ensemble method previously reported is rigorously implemented for a nonequilibrium dilute gas mixture sheared in plane Couette flow geometry and analytic results are presented for the nonequilibrium thermodynamic quantities of the sheared gas. The calortropy is shown to contain all the constitutive information of the system. The notions of temperature and pressure for the nonequilibrium gas are examined on the basis of the calortropy calculated from the nonequilibrium grand partition function. The shear rate dependence of the nonlinear shear and first normal stress coefficients is calculated numerically and also by means of an iterative method. The first iterative solutions are found to give a qualitatively correct behavior for all Peclet numbers.
10169-10179
Farhat, Hikmat
4b7583f4-d03c-425e-a65a-82c0e157e7e6
Eu, Byung Chan
e4d48289-cc13-4b02-b3d5-7c2ea478a9ad
15 December 1998
Farhat, Hikmat
4b7583f4-d03c-425e-a65a-82c0e157e7e6
Eu, Byung Chan
e4d48289-cc13-4b02-b3d5-7c2ea478a9ad
Farhat, Hikmat and Eu, Byung Chan
(1998)
Nonequilibrium statistical thermodynamics: nonequilibrium grand ensemble method for sheared dilute gases.
Journal of Chemical Physics, 109 (23), .
(doi:10.1063/1.477710).
Abstract
The nonequilibrium grand ensemble method previously reported is rigorously implemented for a nonequilibrium dilute gas mixture sheared in plane Couette flow geometry and analytic results are presented for the nonequilibrium thermodynamic quantities of the sheared gas. The calortropy is shown to contain all the constitutive information of the system. The notions of temperature and pressure for the nonequilibrium gas are examined on the basis of the calortropy calculated from the nonequilibrium grand partition function. The shear rate dependence of the nonlinear shear and first normal stress coefficients is calculated numerically and also by means of an iterative method. The first iterative solutions are found to give a qualitatively correct behavior for all Peclet numbers.
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Published date: 15 December 1998
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Local EPrints ID: 492294
URI: http://eprints.soton.ac.uk/id/eprint/492294
ISSN: 0021-9606
PURE UUID: ea275fe3-d893-4993-af79-f16d739879ed
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Date deposited: 23 Jul 2024 17:08
Last modified: 24 Jul 2024 02:06
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Author:
Hikmat Farhat
Author:
Byung Chan Eu
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