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Dynamics of a diverging liquid meniscus in a capillary, taking into account the specific properties of thin films

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Abstract

The theory of the diverging meniscus of a Newtonian liquid for capillary flow conditions at low meniscus velocities, in which the thermodynamic and Theological features of thin wetting films appear, is set forth. Two cases are considered: thermodynamically stable wetting film with high viscosity in the boundary layer on a completely wetted solid surface and a thermodynamically unstable film on a conditionally wetted solid surface exhibiting a liquid slip effect.

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Literature cited

  1. B. V. Zheleznyi, “An investigation of wetting films by the capillary method,” in: Surface Phenomena in Liquids [in Russian], No. 3, Izd. Leningrad. Univ., Leningrad (1975), p. 30.

    Google Scholar 

  2. V. G. Levich, Physicochemical Hydrodynamics [in Russian], Izd. Akad. Nauk SSSR, Moscow (1952).

    Google Scholar 

  3. B. V. Deryagin and S. M. Levi, Physicochemical Deposition of Films on a Moving Substrate [in Russian], Izd. Akad. Nauk SSSR, Moscow (1959).

    Google Scholar 

  4. G. Friz, “Über den dynamischen Randwinkel im Fall der vollständigen Benetzung,” Z. Angew. Phys.,19, No. 4, 374–378 (1965).

    Google Scholar 

  5. S. V. Nerpin and B. V. Deryagin, “Flow kinetics and stability of thin liquid films on a solid substrate, taking into account the solvate shell as a special phase,” Dokl. Akad. Nauk SSSR,100, No. 1 (1955); B. V. Deryagin, “The concept and magnitude of wedging pressure and its role in the statics and kinetics of thin liquid films,” Kolloidn. Zh.,17, No. 2 (1955).

  6. Yu. A. Buevich and É. Kh. Lipkina, “Outflow of liquid from thin films due to molecular attractive forces,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3 (1974).

  7. O. V. Voinov, “Thinning out of free films of a viscous liquid,” Zh. Prikl. Mekh. Tekh. Fiz., No. 3 (1974).

  8. Z. M. Zorin, V. D. Sobolev, and N. V. Churaev, “Measurement of capillary pressure and viscosity in quartz microcapillaries,” Dokl. Akad. Nauk SSSR,193, No. 3 (1970).

  9. M. B. Barbin, “Rate and specific slip coefficient Of a liquid on a wall,” Kolloidn. Zh.,35, No. 2 (1973).

  10. B. V. Zheleznyi, “Theory of the equilibrium wetting angle,” Zh. Fiz. Khim.,48, No. 11 (1974).

  11. Ya. I. Frenkel', The Kinetic Theory of Liquids [in Russian], Izd. Akad. Nauk SSSR, Moscow (1946).

    Google Scholar 

  12. B. V. Zheleznyi, “Hydrodynamics of the diverging meniscus of a wetting liquid,” Dokl. Akad. Nauk SSSR,219, No. 1 (1974).

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Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 3, pp. 72–82, May–June, 1976.

The author wishes to express his appreciation to A. G. Grivtsov and V. S. Yushchenko for valuable assistance in the computer calculations.

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Zheleznyi, B.V. Dynamics of a diverging liquid meniscus in a capillary, taking into account the specific properties of thin films. J Appl Mech Tech Phys 17, 355–362 (1976). https://doi.org/10.1007/BF00853569

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  • DOI: https://doi.org/10.1007/BF00853569

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