Skip to main content
SpringerLink
Log in

The influence of gas solubility on the stability of a layer of liquid with bubbles and an immobile filling

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The instability of a bubbling layer due to the presence of a vertical gradient in the ascent velocity of the bubbles, causing stratification of the layer with respect to density, is considered in [1]. A similar instability mechanism of a fluidized bed is studied in [2]. The stabilizing influence of electrical and magnetic fields on a bubbling layer is shown in [3]. Consideration is given in [4] to the influence of the conditions of supply of the gas on the stability of a bubbling layer with an immobile filling. The present work deals with the stability of the mechanical equilibrium of a horizontal layer of liquid with an immobile filling through which a gas soluble in the liquid is bubbled. It is shown that there exists a critical solubility of the gas at which the mechanical equilibrium is unstable with respect to monotonie perturbations.

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

Literature cited

  1. M. K. Likht and V. A. Shteinberg, “The stability of a layer of bubbling liquid,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 47 (1974).

    Google Scholar 

  2. Yu. P. Gupalo, Yu. S. Ryazantsev, and Yu. A. Sergeev, “Convective instability of a uniform fluidized bed,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 39 (1982).

    Google Scholar 

  3. V. A. Naletova, “The stabilization of bubbling processes by an electrical field,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 5 (1932).

    Google Scholar 

  4. V. V. Dil'man and V. L. Zelenko, “The influence of a gas distribution device on large-scale motion in a three-phase immobile layer,” Khim. Prom. (Kiev), No. 11, 673 (1981).

    Google Scholar 

  5. L. D. Landau and E. M. Lifshitz, Statistical Physics, Pergamon, London (1958).

    Google Scholar 

  6. A. G. Stromberg and D. P. Semchenko, Physical Chemistry [in Russian], Vyssh. Shkola, Moscow (1973), p. 215.

    Google Scholar 

  7. R. I. Nigmatulin, Fundamentals of the Mechanics of Heterogeneous Media [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  8. G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers, McGraw-Hill, New York (1961), p. 47.

    Google Scholar 

  9. G. Z. Gerzhuni and E. M. Zhukhovitskii, Convective Stability of an Incompressible Fluid [in Russian], Nauka, Moscow (1972), p. 296.

    Google Scholar 

  10. E. R. Lapwood, “Convection of a fluid in porous medium,” Proe. Cambridge Philos. Soc.,44, 508 (1948).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Moscow

    V. L. Zelenko

Authors
  1. V. L. Zelenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 68–74, September–October, 1984.

The author would like to thank V. P. Myasnikov and V. V. Dil ' man for their interest in this work, and M. H. Rozenberg for assistance with the programming.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zelenko, V.L. The influence of gas solubility on the stability of a layer of liquid with bubbles and an immobile filling. Fluid Dyn 19, 729–735 (1984). https://doi.org/10.1007/BF01093539

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01093539

Keywords

Search

Navigation