Skip to main content
SpringerLink
Log in

Calculation of the rise velocity of large gas bubbles

  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

Abstract

The problem of determining the rate of rise of large gas bubbles in an infinite volume and a vertical tube is considered. In the first case the shape of the bubble is constructed by “gluing together” the front surface immersed in a flow of ideal liquid and the rear surface being formed under the action of gravitational and capillary forces, and in the second case the solution of the Laplace equation is constructed for the velocity potential in the problem of ideal liquid flow in a tube around a semiinfinite cylindrical body with a hemispherical frontal part.

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

Similar content being viewed by others

References

  1. G. Wallis, One-Dimensional Two-Phase Flows [Russian translation], Moscow (1970).

  2. J. Batchelor, Introduction to the Dynamics of a Fluid [Russian translation], Moscow (1973).

  3. J. F. Harper, Adv. Appl. Mech.,12, 59–129 (1972).

    Google Scholar 

  4. D. T. Dumitrescu, ZAMM,23, 139–148 (1943).

    Google Scholar 

  5. R. M. Davies and G. I. Taylor, Proc. Roy. Soc.,200-A, 377–386 (1950).

    Google Scholar 

  6. D. A. Labuntsov and Yu. B. Zudin, Trudy MÉI, Issue268 72–78 (1975).

    Google Scholar 

  7. Yu. B. Zudin, Trudy MÉI, Issue268, 79–86 (1975).

    Google Scholar 

  8. D. A. Labuntsov and Yu. B. Zudin, Trudy MÉI, Issue 310, 107–115 (1976).

    Google Scholar 

  9. G. Birkhoff and E. H. Zarantonello, Jets, Wakes and Cavities, Academic Press Inc. Publishers, New York (1957).

    Google Scholar 

  10. V. G. Babskii, N. D. Kopachevskii, A. D. Myshkis, et al., The Hydromechanics of Weightlessness [in Russian], Moscow (1976).

  11. H. D. Mendelson, AIChE J.,13, No. 2, 250–254 (1967).

    Google Scholar 

  12. E. Gray and G. B. Mathews, Bessel Functions and Their Applications to Physics and Mechanics [Russian translation], Moscow (1953).

  13. L. V. Kantorovich and V. I. Krylov, Approximate Methods of Higher Analysis [in Russian], Moscow (1962).

  14. Yu. B. Zudin, Inzh.-Fiz. Zh.,63, No. 1, 28–31 (1992).

    Google Scholar 

Download references

Authors
  1. Yu. B. Zudin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Moscow Power Engineering Institute, Moscow. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 68, No. 1, pp. 13–18, January–February, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zudin, Y.B. Calculation of the rise velocity of large gas bubbles. J Eng Phys Thermophys 68, 10–15 (1995). https://doi.org/10.1007/BF00854360

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00854360

Keywords

Search

Navigation