Abstract
The concentration dependences of the dynamic characteristics of a binary mixture in narrow slit-shaped pores of different widths are considered. The local and mean partial self-diffusion, label transfer, mass transfer (mutual diffusion), and shear viscosity coefficients for binary mixtures of various compositions were calculated. The calculation was based on the lattice-gas model in the quasichemical approximation for spherical components with approximately the same size. The calculation of dynamic characteristics took into account collisions between the molecules that determine the direction of their motion. All the kinetic coefficients depend substantially on the mixture density, the direction of motion, and the distance to the pore wall. The effect of the pore width on the calculated dynamic characteristics is considered.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
D. P. Timofeev, Kinetika adsorbtsii [Adsorbtion Kinetics], Akad. Nauk SSSR, Moscow, 1962, 252 pp. (in Russian).
L. I. Kheifets and A. V. Neimark, Mnogofaznye protsessy v poristykh sredakh [Multiphase Processes in Porous Media], Khimiya, Moscow, 1982, 320 pp. (in Russian).
C. N. Satterfield, Mass Transfer in Heterogeneous Catalysis, MIT Press, Cambridge (Mass.), 1970.
D. M. Ruthven, Principles of Adsorption and Adsorption Processe, J. Wiley and Sons, New York, 1984.
Adsorbtsiya v mikroporakh [Adsorption in Micropores], Eds M. M. Dubinin and V. V. Serpinsky, Nauka, Moscow, 1983, p. 114 (in Russian).
E. A. Mason and A. P. Malinauskas, Gas Transport in Porous Media: The Dusty-Gas Model, Elsevier, Amsterdam, 1983.
Yu. K. Tovbin, Mater. konf., posvyashchennoi 100-letiyu M. M. Dubinina [Proc. Conf. Dedicated to the 100th Anniv. Acad. M. M. Dubinin], In-t Fiz. Khim. RAN, Moscow, 2001, 27 (in Russian).
L. D. Landau and E. M. Livshits, Teoreticheskaya fizika, VI. Gidrodinamika [Theoretical Physics, VI. Hydrodynamics], Nauka, Moscow, 1986, 733 pp. (in Russian).
R. B. Bird, W. E. Steawart, and E. N. Lightfoot, Transport Phenomena, J. Wiley, New York-London, 1965.
S. R. de Groot and P. Mazur, Non-Equilibrium Thermodynamics, North-Holland Publ. Company, Amsterdam, 1962.
B. D. Todd and D. J. Evans, J. Chem. Phys., 1995, 103, 9804.
J. M. D. MacElroy, J. Chem. Phys., 1994, 101, 5274.
E. Akhmatskaya, B. D. Todd, P. J. Davis, D. J. Evans, K. E. Gubbins, and L. A. Pozhar, J. Chem. Phys., 1997, 106, 4684.
R. Sh. Vartapetyan, A. M. Voloshchuk, and I. Kerger, Materialy VIII Mezhdunar. konf. “Teoriya i praktika adsorbtsionnykh protsessov” [Proc. VIII Int. Conf. “Theory and Practice Adsorbtion Processes”], In-t Fiz. Khim. RAN, Moscow, 1997, 63 (in Russian).
Yu. K. Tovbin, Theory of Physical Chemistry Processes at a Gas—Solid Surface Processes, CRC Press, Boca Raton (Fl), 1991.
M. A. Mazo, A. B. Rabinovich, and Yu. K. Tovbin, Zh. Fiz. Khim., 2003, 77, 2053 [Russ. J. Phys. Chem., 2003, 77, No. 11 (Engl. Transl.)].
M. A. Mazo, A. B. Rabinovich, and Yu. K. Tovbin, Khim. Fizika [Chem. Physics], 2004, 23, No.6, 47 (in Russian).
E. V. Votyakov, Yu. K. Tovbin, J. M. D. MacElroy, and A. Roche, Langmuir, 1999, 15, 5713.
A. Vishnyakov, E. M. Piotrovskaya, E. N. Brodskaya, E. V. Votyakov, and Yu. K. Tovbin, Zh. Fiz. Khim., 2000, 74, 221 [Russ. J. Phys. Chem., 2000, 74 (Engl. Transl.)].
Yu. K. Tovbin and N. F. Vasyutkin, Zh. Fiz. Khim., 2002, 76, 319 [Russ. J. Phys. Chem., 2002, 76 (Engl. Transl.)].
Yu. K. Tovbin, E. E. Gvozdeva, and D. V. Eremich, Zh. Fiz. Khim., 2003, 77, 878 [Russ. J. Phys. Chem., 2003, 77 (Engl. Transl.)].
I. R. Prigozhin, Moleculyarnye teorii rastvorov [Molecular Theories of Solutions], Khimiya, Moscow, 1987, 450 pp. (in Russian).
N. A. Smirnova, Moleculyarnaya teoriya rastvorov [Molecular Theory of Solutions], Khimiya, Leningrad, 1987, 360 pp. (in Russian).
Yu. K. Tovbin, Izv. Akad. Nauk, Ser. Khim., 2003, 827 [Russ. Chem. Bull., Int. Ed., 2003, 52, 869].
W. A. Steele, The Interactions of Gases with Solid Surfaces, Pergamon, New York, 1974.
S. Sokolowski and J. Fischer, Mol. Phys., 1990, 71, 393.
Yu. K. Tovbin, Izv. Akad. Nauk., Ser. Khim., 2005, 1717 [Russ. Chem. Bull., Int. Ed., 2005, 54, 1768].
K. P. Gurov, B. A. Kartashkin, and E. Yu. Ugaste, Vzaimnaya diffuziya v mnogofaznykh metallicheskikh sistemakh [Mutual Diffusion in Many-Phase Metallic Systems], Nauka, Moscow, 1981, 352 pp. (in Russian).
B. S. Bokshtein, S. Z. Bokshtein, and A. A. Zhukhovitskii, Termodinamika i kinetika diffuzii v tverdykh telakh [Thermodynamics and Kinetics of Diffusion in Solids], Metallurgiya, Moscow, 1976, 280 pp. (in Russian).
E. A. Moelwyn-Hughes, Physical Chemistry, Pergamon Press, London-New York-Paris, 1961.
I. A. Sokolova, Obzory po teplofizicheskim svoistvam veshchestv [Reviews on Thermophysical Properties of Substances], Izd-vo ITV RAN, Moscow, 1992, No. 2(94), 36 (in Russian).
B. V. Egorov, V. N. Komarov, Yu. E. Markachev, and Yu. K. Tovbin, Zh. Fiz. Khim., 2000, 74, 882 [Russ. J. Phys. Chem., 2000, 74 (Engl. Transl.)].
Yu. K. Tovbin, Khim. Fizika [Chem. Physics], 2004, 23, No.12, 82 (in Russian).
Author information
Authors and Affiliations
Additional information
__________
Published in Russian in Izvestiya Akademii Nauk. Seriya Khimicheskaya, No. 8, pp. 1726—1735, August, 2005.
Rights and permissions
About this article
Cite this article
Tovbin, Y.K., Rabinovich, A.B. Self-diffusion, mass transfer, and viscosity coefficients for a binary mixture in narrow slit-like pores. Russ Chem Bull 54, 1777–1786 (2005). https://doi.org/10.1007/s11172-006-0036-2
Received:
Issue Date:
DOI: https://doi.org/10.1007/s11172-006-0036-2