The Special Features of Molecular Transport
in Nanosized Channels

Yu. K. Tovbin, A. B. Rabinovich, and R. Ya. Tugazakov

Karpov Research Institute of Physical Chemistry, ul. Vorontsovo pole 10, Moscow, 105064 Russia

e-mail: tovbin@cc.nifhi.ac.ru

Received January 31, 2008

Abstract—The molecular theory of the transport of pure substances and mixtures of molecules of different
shapes in narrow slit-like pores, in which the potential of surface forces creates a strongly anisotropic distribu-
tion of molecules across pores and thereby makes the hydrodynamics equation inapplicable, is considered. The
new microhydrodynamic approach is based on the lattice gas model, which takes into account the intrinsic vol-
ume of molecules and intermolecular interactions in the quasi-chemical approximation. Self-consistent calcu-
lations of dissipative coefficients taking nonlocal fluid properties into account were performed on the basis of
the transition state model including information about equilibrium adsorbate distribution. Changes in fluid con-
centrations from the gaseous to liquid state and a broad temperature range, including the critical region, are ana-
lyzed. This allows vapor, liquid, and vapor–liquid fluid flows to be considered in the presence of capillary con-
densation. An increase in the size of pores transforms the equations of the theory into hydrodynamic transfer
equations for gas or liquid flows, while preserving the relation of transfer coefficients to intermolecular poten-
tials. The use of microhydrodynamic approach equations in numerical calculations and the possibility of apply-
ing this approach are discussed.

DOI: 10.1134/S0036024408100105

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