Abstract
A self-consistent approach to the calculation of equilibrium and transport characteristics of inert gases and liquids in complex narrow-pore systems based on the lattice-gas model is proposed. A supramolecular structure for fine-grained solids was constructed and the adsorbate distribution within the pore volume is described. The supramolecular structure is simulated using slit-shaped, cylindrical, spherical, and globular segments. Additionally, junctions of pore systems with different structures are included, and the heterogeneity of their walls and the presence of structural defects in the pore segments are taken into account. The distributions of molecules are described in the quasi-chemical approximation to take into account intermolecular interactions using calibration functions to correct this approximation in the near-critical area. Expressions for local and integrated flow transfer coefficients are constructed, in particular, self-diffusion, shear viscosity and heat conductivity. The contributions of the near-wall areas and the core parts of pores to the general form of phase diagrams, the effect of the pore size on the conditions of capillary condensation, and the role of surface mobility of molecules are discussed.
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B. V. Deryagin, N. V. Churaev, and V. M. Muller, Poverkhnostnye sily [Surface Forces], Nauka, Moscow, 1985, 400 pp. (in Russian).
D. P. Timofeev, Kinetika adsorbtsii [Adsorption Kinetics], Izd-vo 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).
P. C. Carman, Flow of Gases Through Porous Media, Butterworths, London, 1956.
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. A. Chizmadzhev, V. S. Markin, V. R. Tarasevich, and Yu. G. Chirkov, Makrokinetika protsessov v poristykh sredakh [Process Macrokinetics in Porous Mrdia], Nauka, Moscow, 1971, 362 pp. (in Russian).
H. Nakanishi and M. E. Fisher, J. Chem. Phys., 1983, 78, 3279.
P. Tarasona, U. M. B. Marconi, and R. Evans, Mol. Phys., 1987, 60, 573.
A. de Kreizer, T. Michalski, and G. H. Findenegg, Pure Appl. Chem., 1991, 63, 1495.
Yu. K. Tovbin and E. V. Votyakov, Langmuir, 1993, 9, 2652.
E. V. Votyakov and Yu. K. Tovbin, Zh. Fiz. Khim., 1994, 68, 287 [Russ. J. Phys. Chem., 1994, 68, No. 2 (Engl. Transl.)].
Yu. K. Tovbin, in Metod molekulyarnoi dinamiki v fizicheskoi khimii [Molecular Dynamics Approach in Physical Chemistry], Nauka, Moscow, 1996, 128 (in Russian).
Dynamics of Gas Adsorption on Heterogeneous Solid Surfaces, Eds. W. Rudzinski, W. A. Steele, and G. Zgrablich, Elsevier, Amsterdam, 1996.
L. D. Gelb, K. E. Gubbins, R. Radhakrishnan, and M. Sliwinska-Bartkowiak, Rep. Prog. Phys., 1999, 62, 1573.
T. G. Plachenov and S. D. Kolosentsev, Porometriya [Porometry], Khimiya, Leningrad, 1988, 176 pp. (in Russian).
L. Sarkisov, K. S. Page, and P. A. Monson, in Fundamentals of Adsorption 6, Elsevier, Paris, 1998, 847.
V. D. Borman, S. Yu. Krylov, and A. V. Prosyanov, Zh. Eksperim. Teor. Fiz., 1990, 97, 1795 [J. Exp. Theor. Phys., 1990, 97 (Engl. Transl.)].
V. D. Borman, S. Yu. Krylov, A. V. Prosyanov, and A. M. Kharitonov, Zh. Eksperim. Teor. Fiz., 1986, 90, 76 [J. Exp. Theor. Phys., 1986, 90 (Engl. Transl.)].
S. F. Borisov, N. F. Balakhonov, and V. A. Gubanov, Vzaimodeistviya gazov s poverkhnost'yu tverdogo tela [Interactions of Gases with Solid Surfaces], Nauka, Moscow, 1988, 200 pp. (in Russian).
R. E. Collins, Flow of Fluid Through Porous Materials, Reinhold Publ. Corp., New York, 1961.
A. E. Scheidegger, The Physicas of Flow Through Porous Media, Univer. Press, Toronto, 1957.
R. I. Nigmatulin, Osnovy mekhaniki geterogennykh sred [Fundamentsls of the Mechanics of Heterogeneous Media], Nauka, Moscow, 1973, 336 pp. (in Russian).
V. N. Nikolaevskii, Mekhanika poristykh i treshchinovatykh sred [Mechanics of Porous and Fractured Media], Nedra, Moscow, 1984, 232 pp. (in Russian).
B. G. Pokusaev, S. I. Lezhik, N. A. Pribaturin, E. S. Vasserman, and S. P. Akterov, 1-ya Ros. nats. konf. po teploobmenu, 4, Dvukhfaznye techeniya [1st Russ. National Conf. on Ion exchange, 4, Two-phase Flows], Proc., Izd-vo MEI, Moscow, 1994, 189 pp. (in Russian).
V. E. Nakoryakov, B. G. Pokusaev, and N. A. Pribaturin, Dokl. Akad. Nauk SSSR, 1990, 311, 1230 [Dokl. Chem., 1990, 311 (Engl. Transl.)].
B. S. Lezhnin and B. S. Zhakunov, 1-ya Ros. nats. konf. po teploobmenu, 4, Dvukhfaznye techeniya [1-st Russ. National Conf. on Ion exchange, 4, Two-phase Flows], Proc., Izd-vo MEI, Moscow, 1994, 126 (in Russian).
E. Wicke and W. Vollmer, Chem. Eng. Soc., 1952, 1, 282.
A. G. Grivtsov, in Osnovnye problemy teorii fizicheskoi adsorbtsii [Key Problems of the Physical Adsorption Theory], Nauka, Moscow, 1970, p. 352 (in Russian).
S. Sokolovski, Phys. Rev., A, 1991, 44, 3732.
S. Sokolovski, Mol. Phys., 1992, 75, 1301.
B. J. Palmer, J. Chem. Phys., 1998, 109, 196.
J. M. D. MacElroy, J. Chem. Phys., 1994, 101, 5274.
Yu. K. Tovbin, Zh. Fiz. Khim., 1998, 72, 1446 [Russ. J. Phys. Chem., 1998, 72, No. 8 (Engl. Transl.)].
Yu. K. Tovbin, Zh. Fiz. Khim., 2002, 76, 76 [Russ. J. Phys. Chem., 2002, 76, No. 1 (Engl. Transl.)].
Yu. K. Tovbin, Khim. Fizika, 2002, 36, 87 [Russ. J. Chem. Phys., 2002, 36 (Engl. Transl.)].
Yu. K. Tovbin and R. Ya. Tugazakov, Teoret. Osnovy Khim. Tekhnol., 2000, 34, 117 [Theor. Foundations Chem. Technol., 2000, 34 (Engl. Transl.)].
Yu. K. Tovbin and R. Ya. Tugazakov, Teoret. Osnovy Khim. Tekhnol., 2002, 36, 573 [Theor. Foundations Chem. Technol., 2002, 36 (Engl. Transl.)].
Yu. K. Tovbin and E. V. Votyakov, Izv. Akad. Nauk, Ser. Khim., 2001, 48 [Russ. Chem. Bull., Int. Ed., 2001, 50, 50].
E. V. Votyakov, Yu. K. Tovbin, J. M. D. MacElroy, and A. Roche, Langmuir, 1999, 15, 5713.
A. M. Vishnyakov, E. M. Piotrovskaya, E. N. Brodskaya, E. V. Votyakov, and Yu. K. Tovbin, Zh. Fiz. Khim., 2000, 74, 501 [Russ. J. Phys. Chem., 2000, 74, No. 3 (Engl. Transl.)].
Yu. K. Tovbin, in Mater. Konf., Posvyashchennoi 100-letiyu M. M. Dubinina [Proc. Conf. Dedicated to the 100th Anniv. Acad. M. M. Dubinin], IFKh RAN, Moscow, 2001, p. 27 (in Russian).
E. Kierlik, M. L. Rosinberg, G. Tarjus, and P. A. Monson, Fundamentals of Adsorption 6, Elsevier, Paris, 1998, 867.
E. Kierlik, M. L. Rosinberg, G. Tarjus, and P. A. Monson, J. Chem. Phys., 1997, 106, 264.
Yu. K. Tovbin, Zh. Fiz. Khim., 2002, 76, 488 [Russ. J. Phys. Chem., 2002, 76, No. 4 (Engl. Transl.)].
J. H. de Boer, Proc. 10th Symp. Colston Res. Soc., 1958, 10, 68.
V. Mayagoitia, F. Rojas, and I. Kornhauser, Langmuir, 1993, 9, 2748.
Yu. K. Tovbin, Teoriya fiziko-khimicheskikh protsesov na granitse gaz-tverdoe telo, Nauka, Moscow, 1990, 288 pp. [Yu. K. Tovbin, Theory of Physical Chemistry Processes at a Gas-Solid Surface Processes, CRC Press, Boca Raton, Fl, 1991].
E. Ruckenstein, A. S. Vaidyanathan, and G. R. Youngquist, Chem. Eng. Sci., 1971, 26, 1305.
V. Sh. Mamleev, P. P. Zolotarev, and P. P. Gladyshev, Neodnorodnost' sorbentov [Sorbent Inhomogeneity], Nauka, Alma-Ata, 1989, 287 pp. (in Russian).
N. Dufau, P. L. Llewellyn, C. Martin, J. P. Coulomb, and Y. Grillet, in Fundamentals of Adsorption 6, Elsevier, Paris, 1998, p. 63.
M. Grun, K. Schumacher, and K. Unger, in Fundamentals of Adsorption 6, Elsevier, Paris, 1998, p. 569.
Yu. K. Tovbin, A. B. Rabinovich, and E. V. Votyakov, Izv. Akad. Nauk, Ser. Khim., 2002, 1531 [Russ. Chem. Bull., Int. Ed., 2002, 51, 1667].
Yu. K. Tovbin, Zh. Fiz. Khim., 1998, 72, 2254 [Russ. J. Phys. Chem., 1998, 72, No. 12 (Engl. Transl.)].
A. V. Kiselev, Mezhmolekulyarnye 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.
D. V. Eremich, V. N. Komarov, and Yu. K. Tovbin, XIV Simp. "Sovremennaya khimicheskaya fizika" (Tuapse, 18-29 sentyabrya 2002) [XIV Symp. "Modern Chemical Physics" (Tuapse, September 18-29, 2002)], Abstrs., MGU, Moscow, 95 (in Russian).
Yu. K. Tovbin and D. V. Yeremich, Colloids and Surfaces, A, 2002, 296, 363.
T. L. Hill, Statistical Mechanics. Principles and Selected Applications, McGraw-Hill, New York, 1956.
S. J. Gregg and K. G. W. Sing, Adsorption, Surface Area, and Porosity, Academic Press, London, 1982.
Yu. K. Tovbin, Dokl. Akad. Nauk SSSR, 1990, 312, 1425 [Dokl. Chem., 1990 (Engl. Transl.)].
Yu. K. Tovbin, Zh. Fiz. Khim., 1997, 73, 1454 [Russ. J. Phys. Chem., 1997, 73, No. 8 (Engl. Transl.)].
Yu. K. Tovbin, Progress in Surface Science, 1990, 34, 1.
Yu. K. Tovbin and V. N. Komarov, Izv. Akad. Nauk, Ser. Khim., 2002, 1871 [Russ. Chem. Bull., Int. Ed., 2002, 51, 2026].
Yu. K. Tovbin and N. F. Vasyutkin, Izv. Akad. Nauk, Ser. Khim., 2001, 1496 [Russ. Chem. Bull., Int. Ed., 2001, 50, 1572].
R. B. Bird, W. Stewart, and E. N. Lightfoot, Transport Phenomena, J. Wiley and Sons, New York-London, 1965.
G. Lamb, Hydrodynamics, 1932.
Yu. K. Tovbin and N. F. Vasyutkin, Zh. Fiz. Khim., 2002, 76, 319 [Russ. J. Phys. Chem., 2002, 76, No. 2 (Engl. Transl.)].
Yu. K. Tovbin, E. E. Gvozdeva, and D. V. Eremich, Zh. Fiz. Khim., 2003, 77, No. 5 [Russ. J. Phys. Chem., 2002, 77, No. 5 (Engl. Transl.)].
Yu. K. Tovbin, Zh. Fiz. Khim., 2003, 77, No. 11 [Russ. J. Phys. Chem., 2003, 77, No. 4 (Engl. Transl.)].
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Tovbin, Y.K. Molecular grounds of the calculation of equilibrium and transport characteristics of inert gases and liquids in complex narrow-pore systems. Russian Chemical Bulletin 52, 869–881 (2003). https://doi.org/10.1023/A:1024440007329
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DOI: https://doi.org/10.1023/A:1024440007329