Transport theory of dense, strongly inhomogeneous fluids

The generalized Enskog-like kinetic equation (GEKE) derived recently for inhomogeneous fluids [L. A. Pozhar and K. E. Gubbins, J. Chem. Phys. 94, 1367 (1991)] has been solved using the 13-moments approximation method to obtain linearized Navier–Stokes equations and the associated zero-frequency tran...

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Bibliographic Details
Published in:The Journal of chemical physics 1993-12, Vol.99 (11), p.8970-8996
Main Authors: POZHAR, L. A, GUBBINS, K. E
Format: Article
Language:English
Subjects:
Chemistry
Exact sciences and technology
General and physical chemistry
Solid-liquid interface
Surface physical chemistry
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Summary:The generalized Enskog-like kinetic equation (GEKE) derived recently for inhomogeneous fluids [L. A. Pozhar and K. E. Gubbins, J. Chem. Phys. 94, 1367 (1991)] has been solved using the 13-moments approximation method to obtain linearized Navier–Stokes equations and the associated zero-frequency transport coefficients. Simplified transport coefficient expressions have been obtained for several special cases (simplified geometries, homogeneous fluid). For these cases it is shown that the main contributions to the transport coefficients can be related to those for dense homogeneous fluids calculated at ‘‘smoothed’’ number densities and pair correlation functions. The smoothing procedure has been derived rigorously and shown to be an intrinsic feature of the GEKE approach. These results have been established for an arbitrary dense inhomogeneous fluid with intermolecular interactions represented by a sum of hard-core repulsive and soft attractive potentials in an arbitrary external potential field and/or near structured solid surfaces of arbitrary geometries.
ISSN:0021-9606
1089-7690
DOI:10.1063/1.465567