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Thermocapillary convection in two-layer systems in the presence of a surface active agent at the interface

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Abstract

Convective instability in a layered system due to the thermocapillary effect was investigated in [1–5]. In these studies it was shown that the perturbations responsible for equilibrium crisis may build up either monotonically or in an oscillatory fashion. In [6] the stabilizing effect of a surface active agent (SAA) on thermocapillary instability was established for a layer with a free surface. For layers of infinite thickness the effect of SAA on thermocapillary convection was studied in [7–9]. The present investigation is concerned with thermocapillary convection in a system of two layers of finite thickness in the presence of an SAA. Convection due to the lift force is not considered. It is established that the principal result of the action of the SAA is not the stabilizing effect on the monotonic mode but the appearance of a new type of oscillatory instability.

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Literature cited

  1. C. V. Sternling and L. E. Scriven, “Interfacial turbulence: hydrodynamic instability and the Marangoni effect,” AIChE J.,5, 514 (1959).

    Google Scholar 

  2. K. A. Smith, “On convective instability induced by surface-tension gradients,” J. Fluid Mech.,24, 401 (1966).

    Google Scholar 

  3. A. A. Nepomnyashchii and I. B. Simanovskii, “Thermocapillary convection in a two-layer system,” Dokl. Akad. Nauk SSSR,272, 825 (1983).

    Google Scholar 

  4. A. A. Nepomnyashchii and I. B. Simanovskii, “Thermocapillary convection in a two-layer system,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 158 (1983).

    Google Scholar 

  5. A. A. Nepomnyashchii and I. B. Simanovskii, “Oscillatory convective instability of two-layer systems in the presence of the thermocapillary effect,” Zh. Prikl. Mekh. Tekh. Fiz., No. 1, 62 (1985).

    Google Scholar 

  6. 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 

  7. M. Hennenberg, P. M. Bisch, M. Vignes-Adler, and A. Sanfeld, “Mass transfer, Marangoni effect, and instability of interfacial longitudinal waves. I. Diffusional exchanges,” J. Colloid Interface Sci.,69, 128 (1979).

    Google Scholar 

  8. M. Hennenberg, P. M. Bisch, M. Vignes-Adler, and A. Sanfeld, “Mass transfer. Marangoni effect, and instability of interfacial longitudinal waves. II. Diffusional exchanges and adsorption-desorption processes,” J. Colloid Interface Sci.,74, 495 (1980).

    Google Scholar 

  9. 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, 1002 (1981).

    Google Scholar 

  10. L. E. Scriven and C. V. Sternling, “On cellular convection driven by surface-tension gradients: effects of mean surface viscosity,” J. Fluid Mech.,19, 321 (1964).

    Google Scholar 

  11. A. A. Nepomnyashchii, “Long wave convective instability in horizontal layers with a deformable boundary,” in: Convective Flows [in Russian], Perm' (1983), pp. 25–31.

  12. V. G. Levich, Physicochemical Hydrodynamics, Prentice-Hall, Englewood Cliffs (1962).

    Google Scholar 

  13. G. Z. Gershuni and E. M. Zhukhovitskii, Convective Stability of an Incompressible Fluid [in Russian], Nauka, Moscow (1972).

    Google Scholar 

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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 2 pp. 3–8, March–April, 1986.

In conclusion the authors wish to thank E. M. Zhukhovitskii for discussind the results.

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Nepomnyashchii, A.A., Simanovskii, I.B. Thermocapillary convection in two-layer systems in the presence of a surface active agent at the interface. Fluid Dyn 21, 169–174 (1986). https://doi.org/10.1007/BF01050164

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  • DOI: https://doi.org/10.1007/BF01050164

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