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Molecular grounds of the calculation of equilibrium and transport characteristics of inert gases and liquids in complex narrow-pore systems

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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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References

  1. B. V. Deryagin, N. V. Churaev, and V. M. Muller, Poverkhnostnye sily [Surface Forces], Nauka, Moscow, 1985, 400 pp. (in Russian).

    Google Scholar 

  2. D. P. Timofeev, Kinetika adsorbtsii [Adsorption Kinetics], Izd-vo Akad. Nauk SSSR, Moscow, 1962, 252 pp. (in Russian).

    Google Scholar 

  3. L. I. Kheifets and A. V. Neimark, Mnogofaznye protsessy v poristykh sredakh [Multiphase Processes in Porous Media], Khimiya, Moscow, 1982, 320 pp. (in Russian).

    Google Scholar 

  4. P. C. Carman, Flow of Gases Through Porous Media, Butterworths, London, 1956.

    Google Scholar 

  5. C. N. Satterfield, Mass Transfer in Heterogeneous Catalysis, MIT Press, Cambridge, Mass., 1970.

    Google Scholar 

  6. E. A. Mason and A. P. Malinauskas, Gas Transport in Porous Media: The Dusty-Gas Model, Elsevier, Amsterdam, 1983.

    Google Scholar 

  7. 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).

    Google Scholar 

  8. H. Nakanishi and M. E. Fisher, J. Chem. Phys., 1983, 78, 3279.

    Google Scholar 

  9. P. Tarasona, U. M. B. Marconi, and R. Evans, Mol. Phys., 1987, 60, 573.

    Google Scholar 

  10. A. de Kreizer, T. Michalski, and G. H. Findenegg, Pure Appl. Chem., 1991, 63, 1495.

    Google Scholar 

  11. Yu. K. Tovbin and E. V. Votyakov, Langmuir, 1993, 9, 2652.

    Google Scholar 

  12. E. V. Votyakov and Yu. K. Tovbin, Zh. Fiz. Khim., 1994, 68, 287 [Russ. J. Phys. Chem., 1994, 68, No. 2 (Engl. Transl.)].

    Google Scholar 

  13. Yu. K. Tovbin, in Metod molekulyarnoi dinamiki v fizicheskoi khimii [Molecular Dynamics Approach in Physical Chemistry], Nauka, Moscow, 1996, 128 (in Russian).

    Google Scholar 

  14. Dynamics of Gas Adsorption on Heterogeneous Solid Surfaces, Eds. W. Rudzinski, W. A. Steele, and G. Zgrablich, Elsevier, Amsterdam, 1996.

  15. L. D. Gelb, K. E. Gubbins, R. Radhakrishnan, and M. Sliwinska-Bartkowiak, Rep. Prog. Phys., 1999, 62, 1573.

    Google Scholar 

  16. T. G. Plachenov and S. D. Kolosentsev, Porometriya [Porometry], Khimiya, Leningrad, 1988, 176 pp. (in Russian).

    Google Scholar 

  17. L. Sarkisov, K. S. Page, and P. A. Monson, in Fundamentals of Adsorption 6, Elsevier, Paris, 1998, 847.

    Google Scholar 

  18. 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.)].

    Google Scholar 

  19. 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.)].

    Google Scholar 

  20. 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).

    Google Scholar 

  21. R. E. Collins, Flow of Fluid Through Porous Materials, Reinhold Publ. Corp., New York, 1961.

    Google Scholar 

  22. A. E. Scheidegger, The Physicas of Flow Through Porous Media, Univer. Press, Toronto, 1957.

    Google Scholar 

  23. R. I. Nigmatulin, Osnovy mekhaniki geterogennykh sred [Fundamentsls of the Mechanics of Heterogeneous Media], Nauka, Moscow, 1973, 336 pp. (in Russian).

    Google Scholar 

  24. V. N. Nikolaevskii, Mekhanika poristykh i treshchinovatykh sred [Mechanics of Porous and Fractured Media], Nedra, Moscow, 1984, 232 pp. (in Russian).

    Google Scholar 

  25. 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).

  26. V. E. Nakoryakov, B. G. Pokusaev, and N. A. Pribaturin, Dokl. Akad. Nauk SSSR, 1990, 311, 1230 [Dokl. Chem., 1990, 311 (Engl. Transl.)].

    Google Scholar 

  27. 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).

  28. E. Wicke and W. Vollmer, Chem. Eng. Soc., 1952, 1, 282.

    Google Scholar 

  29. A. G. Grivtsov, in Osnovnye problemy teorii fizicheskoi adsorbtsii [Key Problems of the Physical Adsorption Theory], Nauka, Moscow, 1970, p. 352 (in Russian).

    Google Scholar 

  30. S. Sokolovski, Phys. Rev., A, 1991, 44, 3732.

    Google Scholar 

  31. S. Sokolovski, Mol. Phys., 1992, 75, 1301.

    Google Scholar 

  32. B. J. Palmer, J. Chem. Phys., 1998, 109, 196.

    Google Scholar 

  33. J. M. D. MacElroy, J. Chem. Phys., 1994, 101, 5274.

    Google Scholar 

  34. Yu. K. Tovbin, Zh. Fiz. Khim., 1998, 72, 1446 [Russ. J. Phys. Chem., 1998, 72, No. 8 (Engl. Transl.)].

    Google Scholar 

  35. Yu. K. Tovbin, Zh. Fiz. Khim., 2002, 76, 76 [Russ. J. Phys. Chem., 2002, 76, No. 1 (Engl. Transl.)].

    Google Scholar 

  36. Yu. K. Tovbin, Khim. Fizika, 2002, 36, 87 [Russ. J. Chem. Phys., 2002, 36 (Engl. Transl.)].

    Google Scholar 

  37. Yu. K. Tovbin and R. Ya. Tugazakov, Teoret. Osnovy Khim. Tekhnol., 2000, 34, 117 [Theor. Foundations Chem. Technol., 2000, 34 (Engl. Transl.)].

    Google Scholar 

  38. Yu. K. Tovbin and R. Ya. Tugazakov, Teoret. Osnovy Khim. Tekhnol., 2002, 36, 573 [Theor. Foundations Chem. Technol., 2002, 36 (Engl. Transl.)].

    Google Scholar 

  39. Yu. K. Tovbin and E. V. Votyakov, Izv. Akad. Nauk, Ser. Khim., 2001, 48 [Russ. Chem. Bull., Int. Ed., 2001, 50, 50].

  40. E. V. Votyakov, Yu. K. Tovbin, J. M. D. MacElroy, and A. Roche, Langmuir, 1999, 15, 5713.

    Google Scholar 

  41. 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.)].

    Google Scholar 

  42. 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).

    Google Scholar 

  43. E. Kierlik, M. L. Rosinberg, G. Tarjus, and P. A. Monson, Fundamentals of Adsorption 6, Elsevier, Paris, 1998, 867.

    Google Scholar 

  44. E. Kierlik, M. L. Rosinberg, G. Tarjus, and P. A. Monson, J. Chem. Phys., 1997, 106, 264.

    Google Scholar 

  45. Yu. K. Tovbin, Zh. Fiz. Khim., 2002, 76, 488 [Russ. J. Phys. Chem., 2002, 76, No. 4 (Engl. Transl.)].

    Google Scholar 

  46. J. H. de Boer, Proc. 10th Symp. Colston Res. Soc., 1958, 10, 68.

    Google Scholar 

  47. V. Mayagoitia, F. Rojas, and I. Kornhauser, Langmuir, 1993, 9, 2748.

    Google Scholar 

  48. 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].

    Google Scholar 

  49. E. Ruckenstein, A. S. Vaidyanathan, and G. R. Youngquist, Chem. Eng. Sci., 1971, 26, 1305.

    Google Scholar 

  50. V. Sh. Mamleev, P. P. Zolotarev, and P. P. Gladyshev, Neodnorodnost' sorbentov [Sorbent Inhomogeneity], Nauka, Alma-Ata, 1989, 287 pp. (in Russian).

    Google Scholar 

  51. N. Dufau, P. L. Llewellyn, C. Martin, J. P. Coulomb, and Y. Grillet, in Fundamentals of Adsorption 6, Elsevier, Paris, 1998, p. 63.

    Google Scholar 

  52. M. Grun, K. Schumacher, and K. Unger, in Fundamentals of Adsorption 6, Elsevier, Paris, 1998, p. 569.

    Google Scholar 

  53. 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].

    Google Scholar 

  54. Yu. K. Tovbin, Zh. Fiz. Khim., 1998, 72, 2254 [Russ. J. Phys. Chem., 1998, 72, No. 12 (Engl. Transl.)].

    Google Scholar 

  55. A. V. Kiselev, Mezhmolekulyarnye vzaimodeistviya v adsorbtsii i khromatografii [Intermolecular Interactions in Adsorption and Chromatography], Vysshaya shkola, Moscow, 1986, 360 pp. (in Russian).

    Google Scholar 

  56. W. A. Steele, The Interactions of Gases with Solid Surfaces, Pergamon, New York, 1974.

    Google Scholar 

  57. 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).

    Google Scholar 

  58. Yu. K. Tovbin and D. V. Yeremich, Colloids and Surfaces, A, 2002, 296, 363.

    Google Scholar 

  59. T. L. Hill, Statistical Mechanics. Principles and Selected Applications, McGraw-Hill, New York, 1956.

    Google Scholar 

  60. S. J. Gregg and K. G. W. Sing, Adsorption, Surface Area, and Porosity, Academic Press, London, 1982.

    Google Scholar 

  61. Yu. K. Tovbin, Dokl. Akad. Nauk SSSR, 1990, 312, 1425 [Dokl. Chem., 1990 (Engl. Transl.)].

    Google Scholar 

  62. Yu. K. Tovbin, Zh. Fiz. Khim., 1997, 73, 1454 [Russ. J. Phys. Chem., 1997, 73, No. 8 (Engl. Transl.)].

    Google Scholar 

  63. Yu. K. Tovbin, Progress in Surface Science, 1990, 34, 1.

    Google Scholar 

  64. Yu. K. Tovbin and V. N. Komarov, Izv. Akad. Nauk, Ser. Khim., 2002, 1871 [Russ. Chem. Bull., Int. Ed., 2002, 51, 2026].

  65. Yu. K. Tovbin and N. F. Vasyutkin, Izv. Akad. Nauk, Ser. Khim., 2001, 1496 [Russ. Chem. Bull., Int. Ed., 2001, 50, 1572].

  66. R. B. Bird, W. Stewart, and E. N. Lightfoot, Transport Phenomena, J. Wiley and Sons, New York-London, 1965.

    Google Scholar 

  67. G. Lamb, Hydrodynamics, 1932.

  68. Yu. K. Tovbin and N. F. Vasyutkin, Zh. Fiz. Khim., 2002, 76, 319 [Russ. J. Phys. Chem., 2002, 76, No. 2 (Engl. Transl.)].

    Google Scholar 

  69. 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.)].

  70. 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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