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Liquid flow in foams

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Abstract

A model equation for describing liquid motion in a foam of polyhedral structure is proposed. A dimensionless parameter characterizing the structure of the foam, namely, the ratio of the volume energy densities of the capillary and gravitational forces, is introduced. When the gravitational forces predominate over the capillary forces, the out-flow process may be regarded as a kinematic wave that can be described by the Burgers equation. In the opposite case, the capillary absorption can be described by a quasilinear parabolic equation.

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Literature cited

  1. V. V. Krotov, “Structure, syneresis and breakdown kinetics of polyhedral disperse systems,” in: Problems of Thermodynamics of Heterogeneous Systems and the Theory of Surface Effects, No. 6 [in Russian], Izd. LGU, Leningrad (1982), p. 110.

    Google Scholar 

  2. K. B. Kann, “Steady flow of liquid through a foam,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3, 98 (1986).

    Google Scholar 

  3. R. I. Nigmatulin, Fundamentals of the Mechanics of Heterogeneous Media [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  4. V. G. Levich, Physicochemical Hydrodynamics [in Russian], Fizmatgiz, Moscow (1959).

    Google Scholar 

  5. V. K. Tikhomirov, Foams: Theory and Practice of their Production and Breakdown [in Russian], Khimiya, Moscow (1983).

    Google Scholar 

  6. L. D. Landau and E. M. Lifshitz, Theoretical Physics. Vol. 6. Hydrodynamics [in Russian], Nauka, Moscow (1986).

    Google Scholar 

  7. R. A. Leonard and R. Lemlich, “Laminar longitudinal flow between close-packed cylinders,” Chem. Eng. Sci.,20, 790 (1965).

    Google Scholar 

  8. V. I. Karpman, Nonlinear Waves in Dispersive Media [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  9. G. I. Barenblatt, V. M. Entov, and V. M. Ryzhik, Theory of Unsteady Flow of Liquids and Gases Through Porous Media [in Russian], Nedra, Moscow (1972).

    Google Scholar 

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Authors and Affiliations

  1. Tyumen'

    I. I. Gol'dfarb, K. B. Kann & I. R. Shreiber

Authors
  1. I. I. Gol'dfarb
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  2. K. B. Kann
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  3. I. R. Shreiber
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Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2, pp. 103–108, March–April, 1988.

The authors are grateful to A. V. Berlyand for discussing the problems associated with the solution of Eq. (3. 4).

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Gol'dfarb, I.I., Kann, K.B. & Shreiber, I.R. Liquid flow in foams. Fluid Dyn 23, 244–249 (1988). https://doi.org/10.1007/BF01051894

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  • DOI: https://doi.org/10.1007/BF01051894

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