Abstract
The concentration dependences of the label transport and shear viscosity coefficients for rod-like molecules in slit-shaped pores were studied. The calculations were carried out using the lattice gas model, which describes a broad range of fluid concentrations (from the gaseous to the liquid state) and temperatures (including the critical region). In the calculation of the local distributions of mixture components in the equilibrium states, lateral interactions were taken into account. The translational and rotational motions of molecules were described in terms of the transition state theory for nonideal reaction systems, which took into account the influence of neighboring molecules on the height of the activation barrier. The model equations reflect the pronounced anisotropy of the distribution of system components along the normal to the pore wall surface and ordering effects of molecules along various directions.
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References
D. P. Timofeev, Kinetika adsorbtsii [Adsorption Kinetics], Izd-vo AN SSSR, Moscow, 1962, 252 pp. (in Russian).
C. N. Satterfield, Mass Transfer in Heterogeneous Catalysis, MIT Press, Cambridge (Mass.), 1970.
E. A. Mason and A. P. Malinauskas, Gas Transport in Porous Media: The Dusty-Gas Model, Elsevier, Amsterdam, 1983.
Yu. K. Tovbin, in Sovremennoe sostoyanie i perspektivy razvitiya teorii adsorbtsii (Materialy konferentsii, posvyashchennoi 100-letiyu M. M. Dubinina) [Current State and Prospects of Development of the Adsorption Theory (Proc. Conf. Dedicated to the 100th Anniversary of M. M. Dubinin’s Birthday)], Institute of Physical Chemistry of the RAS, Moscow, 2001, 27 (in Russian).
B. D. Todd and D. J. Evans, J. Chem. Phys., 1995, 103, 9804.
J. M. D. MacElroy, J. Chem. Phys., 1994, 101, 5274.
B. J. Palmer, J. Chem. Phys., 1998, 109, 196.
Yu. K. Tovbin, Metod moleculeyarnoi dinamiki v fizicheskoi khimii [Molecular Dynamics in Physical Chemistry], Nauka, Moscow, 1997, 128 (in Russian).
Yu. K. Tovbin, Khim. Fiz. [Chem. Phys.], 2002, 21, No. 1, 83 (in Russian).
Yu. K. Tovbin, Zh. Fiz. Khim., 2002, 76, 76 [Russ. J. Phys. Chem., 2002, 76 (Engl. Transl.)].
Yu. K. Tovbin, Teoriya fiziko-khimicheskikh protsessov na granitse gaz—tverdoe telo [Theory of Physicochemical Processes at the Gas—Solid Interface], Nauka, Moscow, 1990, 288 pp. (in Russian).
Yu. K. Tovbin, Progress in Surface Science, 1990, 34, No. 1–4, 1.
N. A. Smirnova, Molekulyarnaya teoriya rastvorov [Molecular Theory of Solutions], Khimiya, Leningrad, 1987, 360 pp. (in Russian).
S. Chandrasekhar, Liquid Crystals, Cambridge Univer. Press, Cambridge, 1977.
I. P. Bazarov and E. V. Gevorkyan, Statisticheskaya teoriya tverdykh i zhidkikh crystalov [Statistical Theory of Solid and Liquid Crystals], Izd. MGU, Moscow, 1983, 262 pp. (in Russian).
Yu. K. Tovbin, Izv. Akad. Nauk. Ser. Khim., 1999, 1467 [Russ. Chem. Bull., 1999, 48, 1450 (Engl. Transl.)].
Yu. K. Tovbin, L. K. Zhidkova, and V. N. Komarov, Izv. Akad. Nauk. Ser. Khim., 2001, 752 [Russ. Chem. Bull., Int. Ed., 2001, 50, 786].
J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird, Molecular Theory of Gases and Liquids, Wiley, New York, 1954.
A. V. Kiselev, Mezhmoleculyarnye vzaimodeistviya v adsorbtsii i khromatografii [Intermolecular Interactions in Adsorption and Chromatography], Vysshaya shkola, Moscow, 1986, 360 pp. (in Russian).
W. A. Steele, The Interactions of Gases with Solid Surfaces, Pergamon, New York, 1974.
Yu. K. Tovbin, Dokl. Akad. Nauk, 1995, 345, 639 [Dokl. Chem., 1995 (Engl. Transl.)].
Yu. K. Tovbin, Khim. Fiz. [Chem. Phys.], 1997, 16, No. 6, 96 (in Russian).
Yu. K. Tovbin and E. V. Votyakov, Kinet. Katal., 1998, 39, 733 [Kinet. Catal., 1998, 39 (Engl. Transl.)].
Yu. K. Tovbin, Zh. Fiz. Khim., 2005, 80, 995 [Russ. J. Phys. Chem., 2005, 80 (Engl. Transl.)].
Yu. K. Tovbin and A. B. Rabinovich, Izv. Akad. Nauk. Ser. Khim., 2006, 1476 [Russ. Chem. Bull., Int. Ed., 2006, 55, 1530].
E. A. Moelwyn-Hughes, Physical Chemistry, Pergamon Press, London-New York-Paris, 1961.
S. Glasston, K. J. Laidler, and H. Eyring, The Theory of Rate Processes, Princeton University, New York, 1941.
L. D. Landau and E. M. Lifshits, Teoreticheskaya fizika. I. Mekhanika [Theoretical Physics. I. Mechanics], Nauka, Moscow, 1965, 204 pp. (in Russian).
Yu. K. Tovbin, Izv. Akad. Nauk. Ser. Khim., 2005, 1717 [Russ. Chem. Bull., Int. Ed., 2005, 54, 1768].
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Published in Russian in Izvestiya Akademii Nauk. Seriya Khimicheskaya, No. 9, pp. 1485–1494, September, 2006.
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Tovbin, Y.K., Rabinovich, A.B. Concentration dependences of the transport coefficients of rod-like molecules in narrow slit-shaped pores. Russ Chem Bull 55, 1539–1548 (2006). https://doi.org/10.1007/s11172-006-0452-3
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DOI: https://doi.org/10.1007/s11172-006-0452-3