Skip to main content
Log in

Investigation into roll waves on the surface of a condensate falling film

  • Mechanics
  • Published:
Doklady Physics Aims and scope Submit manuscript

Abstract

A mathematical model that describes flowing of a thin liquid film along a vertical wall allowing for condensation on the interphase surface in the roll wave mode is considered. Families of exact and numerical generalized solutions are constructed in which roll waves are conjugated through a strong and weak discontinuities with each other or with a “residual” thickness. These solutions simulate flowing of the film condensate over the vertical heat exchange surface.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. W. Nusselt, Ztschr. VDI 60(27/28) (1916).

    Google Scholar 

  2. P. L. Kapitsa, Zh. Eksp. Teor. Fiz. 18(1), 3 (1948).

    Google Scholar 

  3. V. L. Shkadov, Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gasa, No. 1, 43 (1967).

    Google Scholar 

  4. V. E. Nakoryakov and I. R. Shreiber, Prikl. Mekh. Tekh. Fiz., No. 2, 109 (1973).

    Google Scholar 

  5. V. V. Pukhnachev, Prikl. Mekh. Tekh. Fiz., No. 5, 47 (1975).

    Google Scholar 

  6. V. E. Nakoryakov, B. G. Pokusaev, and S. V. Alekseenko, Inzh.-Fiz. Zh. 30(5), 780 (1976).

    Google Scholar 

  7. S. V. Alekseenko, V. E. Nakoryakov, and B. G. Pokusaev, Wave Flow of Liquid Films (Nauka, Novosibirsk, 1992) [in Russian].

    Google Scholar 

  8. V. A. Buchin and G. A. Shaposhnikova, Doklady Phys. 54(5), 248 (2009).

    Article  ADS  MATH  Google Scholar 

  9. A. Boudlal and V. Yu. Liapidevskii, Doklady Phys. 57(1), 23 (2012).

    Article  ADS  Google Scholar 

  10. E. A. Demekhin, E. N. Kalaidin, and E. N. Rastaturin, Teplofiz. Aeromekh. 12(2), 259 (2005).

    Google Scholar 

  11. V. E. Nakoryakov, V. V. Ostapenko, and M. V. Bartashevich, Int. J. Heat Mass Transfer 55(23/24), 6514 (2012).

    Google Scholar 

  12. V. V. Ostapenko, Hyperbolic Systems of Conservation Laws and Their Application to Shallow Water Theory (Novosibirsk State Univ., Novosibirsk, 2004) [in Russian].

    Google Scholar 

  13. V. M. Goloviznin and A. A. Samarskii, Mat. Model. 10(1), 101 (1998).

    MATH  MathSciNet  Google Scholar 

  14. V. M. Goloviznin, Dokl. Akad. Nauk 403(4), 459 (2005).

    MATH  MathSciNet  Google Scholar 

  15. V. V. Ostapenko, Zh. Vychisl. Mat. Mat. Fiz. 52(3), 447 (2012).

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. V. Bartashevich.

Additional information

Original Russian Text © V.E. Nakoryakov, V.V. Ostapenko, M.V. Bartashevich, 2014, published in Doklady Akademii Nauk, 2014, Vol. 454, No. 5, pp. 540–544.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nakoryakov, V.E., Ostapenko, V.V. & Bartashevich, M.V. Investigation into roll waves on the surface of a condensate falling film. Dokl. Phys. 59, 94–98 (2014). https://doi.org/10.1134/S1028335814020086

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1028335814020086

Keywords

Navigation