Skip to main content
Log in

Pulsating gas bubbles in liquid: The conditions of merging

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

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.

References

  1. H. Lamb, Hydrodynamics, 6th ed. (Gostekhizdat, Moscow, 1947; Cambridge University Press, Cambridge, 1932).

    Google Scholar 

  2. A. A. Doinikov, Phys. Rev. E: 62(2), 6 (2001).

    Google Scholar 

  3. A. A. Aganin and A. I. Davletshin, Mat. Model. 21(9), 89 (2009).

    Google Scholar 

  4. W. M. Hicks, On the Motion of Two Spheres in Fluid, in Phil. Trans. Roy. Soc (London, 1880), Vol. 171, pp. 455–492.

    Google Scholar 

  5. O. V. Voinov, Prikl. Mat. Mekh. 33, 659 (1969).

    Google Scholar 

  6. O. V. Voinov, Vestn. Mosk. Univ., No. 5, 83 (1969).

  7. R. I. Nigmatulin, Dynamics of Multiphase Media (Nauka, Moscow, 1987), Vol. 1 [in Russian].

    Google Scholar 

  8. O. V. Voinov and A. G. Petrov, Bubble Motion in Liquids, in Itogi Nauki i Tekh., Gidromekh. 10, 86 (Izd. Akad. Nauk SSSR, Moscow, 1976) [in Russian].

    Google Scholar 

  9. O. V. Voinov and A. G. Petrov, Mekh. Zhidk. Gaza, Ser. 1, Math., Mekh., No. 5, 94 (1971).

  10. J. Batchelor, Introduction to Fluid Dynamics (Mir, Moscow, 1973) [in Russian].

    Google Scholar 

  11. B. V. Boshenyatov, Dokl. Akad. Nauk 427(3), 321 (2009).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. G. Petrov.

Additional information

Original Russian Text © A.G. Petrov, 2010, published in Doklady Akademii Nauk, 2010, Vol. 434, No. 5, pp. 631–635.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Petrov, A.G. Pulsating gas bubbles in liquid: The conditions of merging. Dokl. Phys. 55, 528–532 (2010). https://doi.org/10.1134/S1028335810100137

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1028335810100137

Keywords

Navigation