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Instability of a system of horizontal layers of immiscible fluids heated from above

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Abstract

The stability of the equilibrium is studied in a system heated from above and consisting of two layers of different fluids of finite thickness. The physical mechanism of the instability is discussed and shown to be very different from the Rayleigh mechanism. The ranges of variation of the parameters of the system in which the effect is possible are found, and the boundaries of stability are determined quantitatively.

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Literature cited

  1. G. Z. Gershuni and E. M. Zhukhovitskii, “Convective instability of two immiscible fluids in a spherical cavity,” Uch. Zap. Perm. Un-ta, No. 184 (1968).

  2. L. G. Poddubnaya, Yu. P. Rudakov, and G. F. Shaidurov, “Thermal instability of a two-layer fluid in a spherical cavity,” Uch. Zap. Perm. Un-ta, No. 184 (1968).

  3. M. I. Shliomis and V. I. Yakushin, “Convective instability of two immiscible fluids in a spherical cavity in arbitrary proportions,” Uch. Zap. Perm. Un-ta, No. 216 (1970).

  4. R. W. Zeren and W. C. Reynolds, “Thermal instabilities in two-fluid horizontal layers,” J. Fluid Mech.,53, No. 2 (1972).

  5. É. I. Berezovskii, T. L. Perel'man, and E. A. Romashko, “Convective stability in a system of two unbounded horizontal layers of immiscible fluid,” Inzh.-Fiz. Zh.,27, No. 6 (1974).

  6. R. S. Adilov, G. F. Putin, and G. F. Shaidurov, “Convective stability of two immiscible fluids in a horizontal slit,” Uch. Zap. Term. Un-ta, No. 362 (1976).

  7. P. Welander, “Convective instability in a two-layer fluid heated uniformly from above,” Tellus,16, No. 3 (1964).

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Authors and Affiliations

  1. Perm'

    G. Z. Gershuni & E. M. Zhukhovitskii

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  1. G. Z. Gershuni
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  2. E. M. Zhukhovitskii
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 28–34, November–December, 1980.

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Gershuni, G.Z., Zhukhovitskii, E.M. Instability of a system of horizontal layers of immiscible fluids heated from above. Fluid Dyn 15, 816–822 (1980). https://doi.org/10.1007/BF01096629

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  • DOI: https://doi.org/10.1007/BF01096629

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