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Investigating waves on the surface of a thin liquid film entrained by a turbulent gas flow: modeling beyond the “quasi-laminar” approximation

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Thermophysics and Aeromechanics Aims and scope

Abstract

The problem of the joint flow of a turbulent gas stream and a vertically falling wavy liquid film is considered. Tangential and normal stresses on the interfaces are calculated. The components of the Reynolds stress tensor are determined within the framework of the Boussinesq hypothesis. For the case of small Reynolds numbers of a liquid, the problem is reduced to a nonlinear integro-differential equation for the deviation of the layer thickness from the unperturbed level. A numerical study of the evolution of periodic perturbations is carried out. Several typical scenarios of their development are presented.

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References

  1. A.A. Gorodilov, M.G. Berengarten, and A.S. Pushnov, Features of fluid film falling on the corrugated surface of structured packings with perforations, Theor. Found. Chem. Eng., 2016, Vol. 50, No. 3, P. 325–334.

    Article  Google Scholar 

  2. S.V. Alekseenko, V.E. Nakoryakov, and B.G. Pokusaev, Wave Flow of Liquid Films, Begell House, New York, 1994.

    MATH  Google Scholar 

  3. V.E. Nakoryakov and N.I. Grigorieva, Non-isothermal Absorption in Thermotransformers, Nauka, Novosibirsk, 2010.

    Google Scholar 

  4. S.V. Alekseenko, D.M. Markovich, S.M. Kharlamov, and A.V. Cherdantsev, Experimental study of the linear stability of a falling liquid film in the presence of a turbulent gas stream, Fluid Dynamics, 2004, V. 39, No. 4, P. 612–620.

    Article  ADS  Google Scholar 

  5. A. Wolf, S. Jayanti, and G.F. Hewitt, Flow development in vertical annular flow, Chem. Engng Sci., 2001, Vol. 56, Iss. 10, P. 3221–3235.

    Article  Google Scholar 

  6. C.D. Park, T. Nosoko, S. Gima, and S.T. Ro, Wave-augmented mass transfer in a liquid film falling inside a vertical tube, Inter. J. Heat Mass Trans., 2004, Vol. 47, P. 2587–2598.

    Article  Google Scholar 

  7. S.P. Aktershev and S.V. Alekseenko, Interfacial instabilities in an annular two-phase flow, Russ. J. Engng Thermophysics, 1996, Vol. 6, No. 4, P. 307–320.

    Google Scholar 

  8. D. Tseluiko and S. Kalliadasis, Nonlinear waves in counter-current gas-liquid film flow, J. Fluid Mech., 2011, Vol. 673, P. 19–59.

    Article  ADS  MathSciNet  Google Scholar 

  9. A.M. Frank, Numerical simulation of gas driven waves in a liquid film, Phys. Fluids, 2008, Vol. 20, No. 12, P. 122102.

    Article  ADS  Google Scholar 

  10. G.M. Sisoev, O.K. Matar, and C.J. Lawrence, Wave regimes in two-layer microchannel flow, Chem. Engng Sci., 2009, Vol. 64, Iss. 13, P. 3094–3102.

    Article  Google Scholar 

  11. G.F. Dietze and C.C. Ruyer-Quil, Wavy liquid films in interaction with a confined laminar gas flow, J. Fluid Mech., 2013, Vol. 722, P. 348–393.

    Article  ADS  MathSciNet  Google Scholar 

  12. E.A. Demekhin, Nonlinear waves in a liquid film entrained by a turbulent gas stream, Fluid Dynamics, 1981, V. 16, No. 2, P. 188–193.

    Article  ADS  Google Scholar 

  13. O. Yu. Tsvelodub and D.G. Arkhipov, Simulation of nonlinear waves on the surface of a thin fluid film moving under the action of turbulent gas flow, J. Appl. Mech. Tech. Phys., 2017, Vol. 58, No. 4, P. 619–628.

    Article  ADS  MathSciNet  Google Scholar 

  14. Y.Y. Trifonov, Counter-current gas-liquid wavy film flow between the vertical plates analyzed using the Navier-Stokes equations, AIChE J., 2010, Vol. 56, No. 8, P. 1975–1987.

    Google Scholar 

  15. R. Vellingiri, D. Tseluiko, N. Savva, and S. Kalliadasis, Dynamics of a liquid film sheared by a co-flowing turbulent gas, Inter. J. Multiphase Flow, 2013, Vol. 56, P. 93–104.

    Article  Google Scholar 

  16. P.I. Geshev, A linear model of close-to-wall turbulent transfer, Russ. J. Engng Thermophys., 1993, Vol. 3, No. 1, P. 49–89.

    Google Scholar 

  17. I.S. Vozhakov, D.G. Arkhipov, and O.Yu. Tsvelodub, Simulating nonlinear waves on the surface of thin liquid film entrained by turbulent gas flow, Thermophysics and Aeromechanics, 2015, V. 22, No. 2, P. 191–202.

    Article  ADS  Google Scholar 

  18. O.Yu. Tsvelodub, Simulating nonlinear steady-state traveling waves on the falling liquid film entrained by a gas flow, J. Phys.: Conf. Series, 2016, Vol. 754, P. 032020-1–032020-5.

    Google Scholar 

  19. O.Yu. Tsvelodub and A.A. Bocharov, Modeling nonlinear wave regimes in a falling liquid film entrained by a gas flow, Chaos, Solitons and Fractals, 2017, Vol. 104, P. 580–587.

    Article  ADS  Google Scholar 

  20. O.Yu. Tsvelodub and A.A. Bocharov, Simulating solitary waves on a flowing down liquid film entrained by a gas stream, Eur. J. Mech. B - Fluids, 2018, Vol. 72, P. 449–455.

    Article  ADS  MathSciNet  Google Scholar 

  21. T.B. Benjamin, Shearing flow over a wavy boundary, J. Fluid Mech., 1959, Vol. 6, Iss. 2, P. 161–205.

    Article  ADS  MathSciNet  Google Scholar 

  22. I.S. Vozhakov, D.G. Arkhipov, and O.Yu. Tsvelodub, Studying evolution of periodic wave regimes on a falling doun liquid film, J. Phys.: Conf. Series, 2017, Vol. 899, No. 3, P. 032025-1–032025-6.

    Google Scholar 

  23. I.S. Vozhakov, D.G. Arkhipov, and O.Yu. Tsvelodub, Nonstationary periodic wave regimes on a falling liquid film, J. Phys.: Conf. Series, 2018, Vol. 1105, No. 1, P. 012069-1–012069-6.

    Google Scholar 

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Authors and Affiliations

  1. Kutateladze Institute of Thermophysics SB RAS, Novosibirsk, Russia

    O. Yu. Tsvelodub, D. G. Arkhipov & I. S. Vozhakov

  2. Novosibirsk State University, Novosibirsk, Russia

    O. Yu. Tsvelodub, D. G. Arkhipov & I. S. Vozhakov

Authors
  1. O. Yu. Tsvelodub
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  2. D. G. Arkhipov
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  3. I. S. Vozhakov
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Corresponding author

Correspondence to O. Yu. Tsvelodub.

Additional information

The work was financially supported by the Russian Science Foundation (Grant No. 16-19-10449).

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Tsvelodub, O.Y., Arkhipov, D.G. & Vozhakov, I.S. Investigating waves on the surface of a thin liquid film entrained by a turbulent gas flow: modeling beyond the “quasi-laminar” approximation. Thermophys. Aeromech. 28, 223–236 (2021). https://doi.org/10.1134/S0869864321020050

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  • DOI: https://doi.org/10.1134/S0869864321020050

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