Skip to main content
SpringerLink
Log in

Connective instability of a two-layer system with thermally insulated boundaries

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The investigation of the convective stability of mechanical equilibrium of two horizontal layers of immiscible fluids has revealed the characteristics of such systems [1–3]. In particular, it has been found that, as distinct from a homogeneous horizontal layer, under certain conditions two-layer systems experience convective instability when uniformly heated from above and, moreover, oscillatory instability when heated from below. In [1–3] the problem was solved for a system with isothermal outer boundaries. In this paper the stability of equilibrium of two-layer systems is investigated for thermally insulated outer boundaries. Special attention is given to the study of the long wave instability mode.

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. G. Z. Gershuni and E. M. Zhukhovitskii, “Instability of the equilibrium of a system of horizontal layers of immiscible fluids heated from above,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 28 (1980).

    Google Scholar 

  2. G. Z. Gershuni and E. M. Zhukhovitskii, “Monotonic and oscillatory instability of a two-layer system of immiscible fluids heated from below,” Dokl. Akad. Nauk SSSR,265, 302 (1982).

    Google Scholar 

  3. G. Z. Gershuni, E. M. Zhukhovitskii, and E. A. Pershina, “Occurrence of convection in certain two-layer systems,” in: Convective Flows [in Russian], Permsk. Ped. Inst., Perm' (1983), pp. 3–24.

    Google Scholar 

  4. L. G. Poddubnaya, Yu. P. Rudakov, and G. F. Shaidurov, “Thermal instability of a two-layer fluid in a spherical cavity,” Uch. Zap. Permsk. Gos. Univ., No. 184, 23 (1968).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Perm'

    G. Z. Gershuni & E. M. Zhukhovitskii

Authors
  1. G. Z. Gershuni
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. M. Zhukhovitskii
    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. 2, pp. 22–28, March–April, 1986.

The authors wish to thank O. V. Kustova for assisting with the computations.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gershuni, G.Z., Zhukhovitskii, E.M. Connective instability of a two-layer system with thermally insulated boundaries. Fluid Dyn 21, 185–190 (1986). https://doi.org/10.1007/BF01050167

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01050167

Keywords

Search

Navigation