Skip to main content
SpringerLink
Log in

Internal gravitational waves and convectional instability in liquids

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

A study is made of the interconnection between the conditions for convective instability and the condition for existence of internal gravitational waves in a liquid in the presence of a height density gradient due both to a gravitational field and to a temperature and concentration gradient, in particular, in the proximity of the critical point of pure liquids and binary mixtures. The error in measuring the thermal conductivity coefficient close to the critical point, connected with the propagation of internal gravitational waves, is evaluated.

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. C. Eckart, Hydrodynamics of Oceans and Atmospheres, Pergamon (1960).

  2. V. S. Sorokin, “The variation method in convection theory,” PMM,17, No. 1 (1953).

  3. L. D. Landau and E. M. Lifshits, Mechanics of Solid Media, 2nd ed. [in Russian], Gostekhizdat, Moscow (1954).

    Google Scholar 

  4. A. Ya. Parshin, “Internal gravitational waves in a superfluid solution,” Zh. Eksperim. i Teor. Fiz. Pis. Red.,10, No. 11 (1969).

  5. V. A. Shteinberg, “Oscillatory convective instability of a compressible liquid near the liquid-vapor critical point,” Izv. Akad. Nauk SSSR, Mekhan. Zhidk. i Gaza, No. 3 (1971).

  6. M. Sh. Giterman and V. A. Shteinberg, “Criteria for occurrence of free convection in a compressible, viscous, thermoconductive liquid,” PMM,34, No. 2 (1970).

  7. M. Sh. Giterman, “A study of the critical state of a liquid with the aid of gravitational waves,” Dokl. Akad. Nauk SSSR,177, No. 6, 1298 (1967).

    Google Scholar 

  8. G. Z. Gershuni and E. M. Zhukhovitskii, “Convective instability of two-component mixtures in agravitational field,” PMM,27, No. 2 (1963).

  9. V. A. Shteinberg, “Convective instability of two-component mixtures, in particular, near the critical point,” PMM,35, No. 2 (1971).

  10. V. D. Khait, “Gravitational waves in a gas near the critical gas-liquid transition point,” Zh. Eksperim. i Teor. Fiz.,57, No.1 (7), (1969).

  11. M. Sh. Giterman and V. I. Shteinberg, “Establishment of thermal equilibrium and occurrence of convection in a liquid close to the critical point,” Teplofiz. Vys. Temp. (in press).

  12. L. D. Landau and E. M. Lifshits, Theoretical Physics, Vol. 5, Statistical Physics [in Russian], Nauka, Moscow (1964).

    Google Scholar 

Download references

Authors
  1. M. Sh. Giterman
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. A. Shteinberg
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Moscow. Translated from Izvestiya Akademii Nauk SSSR. Mekhanika Zhidkosti i Gaza, No. 2, pp. 55–61, March–April, 1972.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Giterman, M.S., Shteinberg, V.A. Internal gravitational waves and convectional instability in liquids. Fluid Dyn 7, 238–243 (1972). https://doi.org/10.1007/BF01186464

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01186464

Keywords

Search

Navigation