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Simulating nonlinear wavy flow modes developing in a thin horizontal layer of heavy liquid entrained by a gas flow

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Thermophysics and Aeromechanics Aims and scope

Abstract

The paper considers nonlinear waves generated on a surface of a horizontal liquid layer put into an assigned stress field at the gas-liquid interface. The nature of branching for wavy modes from the undisturbed flow was studied. To accomplish this, the solution of a model nonlinear equation written for the deviation of the layer thickness from the undisturbed layer is found. Analytical solutions were constructed for nonlinear steady state-travelling solutions of this equation with the wavenumbers belonging to the vicinity of neutral wavenumbers. Steady state-travelling periodic solutions for the first family were simulated for the case of wavenumbers beyond this vicinity.

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References

  1. E.A. Demekhin, Nonlinear waves in a liquid film entrained by a turbulent gas stream, Fluid Dynamics, 1981, Vol. 16, No. 2, P. 188–19.

    Article  ADS  Google Scholar 

  2. G.F. Dietze and Ch. 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 

  3. 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 

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

    Article  Google Scholar 

  5. 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, Vol. 22, No. 2, P. 191–202.

    Article  ADS  Google Scholar 

  6. 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. Techn. Phys., 2017, Vol. 58, No. 4, P. 619–628.

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  8. 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 

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Authors and Affiliations

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

    O. Yu. Tsvelodub

  2. Novosibirsk State University, Novosibirsk, Russia

    O. Yu. Tsvelodub

Authors
  1. O. Yu. Tsvelodub
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Correspondence to O. Yu. Tsvelodub.

Additional information

Research was performed in the frameworks of a government plan for IT SB RAS (AAAA-A17-117022850024-4).

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Tsvelodub, O.Y. Simulating nonlinear wavy flow modes developing in a thin horizontal layer of heavy liquid entrained by a gas flow. Thermophys. Aeromech. 26, 861–867 (2019). https://doi.org/10.1134/S0869864319060076

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  • DOI: https://doi.org/10.1134/S0869864319060076

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