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Journal of Applied Mechanics and Technical Physics

, Volume 27, Issue 5, pp 698–702 | Cite as

Development of thermogravitation convection in a two-layer system in the presence of a surface-active material on the boundary

  • A. Yu. Gilev
  • A. A. Nepomnyashchii
  • I. B. Simanovskii
Article

Abstract

Convective instability of equilibrium in a system of two horizontal layers of immiscible liquids, caused by the Rayleigh instability mechanism, has been studied within the framework of the linear theory in [1–5]. The present study will investigate the effect of a surface-active material (SAM), deposited on the boundary between the liquids, on the development of thermogravitation convection. Calculations were performed for two types of systems, which in the absence of a SAM show instability of a monotonic or an oscillatory character. A new type of oscillatory equilibrium instability was observed, produced by the effect of the SAM. In some region of parameter values the oscillatory instability may prove to be the more dangerous one. The action of the Marangoni effect on thermogravitation oscillations is considered.

Keywords

Convection Mathematical Modeling Mechanical Engineer Industrial Mathematic Linear Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature cited

  1. 1.
    R. W. Zeren and W. C. Reynolds, “Thermal instabilities in two-fluid horizontal layers,” J. Fluid Mech.,53, No. 2 (1972).Google Scholar
  2. 2.
    E. I. Berezovskii, T. L. Perel'man, and E. A. Romashko, “Convective instability in a system of two inorganic horizontal layers of immiscible liquids,” Inzh. Fiz. Zh.,27, No. 6 (1974).Google Scholar
  3. 3.
    E. N. Ferm and D. J. Wollkind, “Onset of Rayleigh-Bernard-Marangoni instability: comparison between theory and experiment,” J. Non-Equilib. Thermodyn.,7, No. 3 (1982).Google Scholar
  4. 4.
    G. Z. Gershun and E. M. Zhukhovitskii, “Monotonic and oscillatory instability of a two-layer system of immiscible liquids heated from below,” Dokl. Akad. Nauk SSSR,265, No. 2 (1982).Google Scholar
  5. 5.
    G. Z. Gershun, E. M. Zhukhovitskii, and E. A. Pershina, “Development of convection in some two-layer systems,” in: Convective Flows [in Russian], Perm' (1983).Google Scholar
  6. 6.
    A. A. Nepomnyashchii, “Longwave convective instability in horizontal layers with a deformed boundary,” in: Convective Flows [in Russian], Perm' (1983).Google Scholar
  7. 7.
    V. G. Levich, Physicochemical Hydrodynamics [in Russian], Izd. Akad. Nauk SSSR, Moscow (1952).Google Scholar
  8. 8.
    J. C. Berg and A. Acrivos, “The effect of surface-active agents on convection cells induced by surface tension,” Chem. Eng. Sci.,20, 737 (1965).Google Scholar
  9. 9.
    M. Hennenberg, P. M. Bisch, et al., “Mass transfer. Marangoni effect and instability of interfacial longitudinal waves. I. Diffusional exchanges,” J. Colloid Interface Sci.,69, No. 1 (1979).Google Scholar
  10. 10.
    M. Hennenberg, P. M. Bisch, et al., “Mass transfer Marangoni effect and instbility of interfacial longitudinal waves. II. Diffusional exchanges and adsorption-desorption processes,” J. Colloid Interface Sci.,74, No. 2 (1980).Google Scholar
  11. 11.
    M. Hennenberg, A. Sanfeld, and P. M. Bisch, “Adsorption-desorption barrier, diffusional exchanges, and surface instabilities of longitudinal waves for aperiodic regimes,” AIChE J.,27, No. 6 (1981).Google Scholar
  12. 12.
    A. A. Nepomnyashchii and I. B. Simanovskii, “Development of convection in a two-layer system,” in: Hydrodynamic and Convective Instability of an Incompressible Liquid [in Russian], Sverdlovsk (1984).Google Scholar

Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • A. Yu. Gilev
    • 1
  • A. A. Nepomnyashchii
    • 1
  • I. B. Simanovskii
    • 1
  1. 1.Perm'

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