Skip to main content
SpringerLink
Log in

Nonlinear Wave Simulation on a Surface of Liquid Film Entrained by Turbulent Gas Flow at Weightlessness

  • Original Article
  • Published:
Microgravity Science and Technology Aims and scope Submit manuscript

Abstract

The article considers the joint flow of a liquid film entrained by turbulent gas. Since liquid velocity is small in comparison with gas velocity, the problem is reduced to the calculation of pressure and shear stresses produced by the gas flowing over a wavy wall with small amplitude. Further, these data are used at the boundary conditions, when the flow of a liquid film is considered separately. As a result, we obtain a new system of equations for modeling the dynamics of long-wave perturbations on the surface of a viscous liquid film entrained by turbulent gas at microgravity. At small Reynolds numbers typical to the condition of microgravity, it was proved that this system is reduced to one evolution equation for the film thickness. Some numerical solutions of this equation have been received in this work.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

References

  • Abrams, J., Hanratty, T.J.: Relaxation effects observed for turbulent flow over a wavy surface. J. Fluid Mech. 151, 443–455 (1985)

    Article  Google Scholar 

  • Alekseenko, S.V., Arkhipov, D.G., Tsvelodub, O.Y.: Modelling of the shear stresses produced by the turbulent gas flow over the wavy liquid film. Fortschritt-Berichte, VDI, Dusseldorf 3(883), 222–231 (2007)

    Google Scholar 

  • Alekseenko, S.V., Cherdantsev, A.V., Cherdantsev, M.V., Markovich, D.M.: Investigation of secondary waves dynamics in annular gas–liquid flow. Microgravity Sci. Technol. 21, 221–226 (2009)

    Article  Google Scholar 

  • Alekseenko, S.V., Arkhipov, S.V., Tsvelodub, O.Y.: Divergent system of equations for a fluid film flowing down a vertical wall. Dokl. Phys. 56, 22–25 (2011)

    Article  Google Scholar 

  • Arkhipov, D.G., Tsvelodub, O.Y.: Investigation of the divergent system of equations for a vertically flowing liquid film. Microgravity Sci. Technol. 23, 123–128 (2011)

    Article  Google Scholar 

  • Benjamin, T.B.: Shearing flow over a wavy boundary. J. Fluid Mech. 6, 161–205 (1959)

    Article  MathSciNet  MATH  Google Scholar 

  • Demekhin, E.A., Tokarev, G.Y., Shkadov, V.Y.: Instability and nonlinear waves on a vertical liquid film flowing counter to a turbulent gas flow. Theor. Found. Chem. Eng. 21, 54–60 (1987)

    Google Scholar 

  • Nepomnyashchy, A.A.: Stability of wave regimes in a film falling down an inclined plane. Fluid Dyn. 9, 354–359 (1974)

    Article  Google Scholar 

  • Tsvelodub, O.Y.: Modeling of wave regimes on the film of viscous liquid falling down a vertical plate. Thermophys. Aeromech. 19, 91–99 (2012)

    Article  Google Scholar 

  • Tsvelodub, O.Y., Trifonov, Y.Y.: On steady-state traveling solutions of an evolution equation describing the behaviour of disturbances in active dissipative media. Phys. D 39, 336–351 (1989)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Acknowledgments

The work was performed with financial support from the RF Government provided to scientific researches supervised by the leading scientists in Russian Higher Educational Institutions No. 11.G34.31.0035 (State Educational Institution of Higher Education “Novosibirsk State University”). The authors express their gratitude to I. Vozhakov for useful discussions and comments.

Author information

Authors and Affiliations

  1. Novosibirsk State University, Novosibirsk, 2 Pirogova Str., Novosibirsk, Russia

    Oleg Tsvelodub & Dmitry Arkhipov

  2. Institute of Thermophysics SB RAS, Novosibirsk, 1 Lavrentieva Ave., Novosibirsk, Russia

    Oleg Tsvelodub & Dmitry Arkhipov

Authors
  1. Oleg Tsvelodub
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Dmitry Arkhipov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Oleg Tsvelodub.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tsvelodub, O., Arkhipov, D. Nonlinear Wave Simulation on a Surface of Liquid Film Entrained by Turbulent Gas Flow at Weightlessness. Microgravity Sci. Technol. 25, 179–186 (2013). https://doi.org/10.1007/s12217-013-9345-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12217-013-9345-x

Keywords

Search

Navigation