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Convective instability of a fluid in a vibration field under conditions of weightlessness

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Abstract

The problem of the convection and convective instability of a fluid in a high-frequency vibration field under conditions of weightlessness was formulated in an earlier paper of the authors [1]. In the present paper, the conditions of equilibrium are discussed and the boundaries of vibration instability are determined for some equilibrium states: a plane layer of fluid with transverse temperature gradient and arbitrary direction of the vibration, a cylindrical layer with radial gradient and longitudinal direction of the vibration, and an infinite circular cylinder with transverse and mutually perpendicular directions of the temperature gradient and the vibration axis.

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Literature cited

  1. G. Z. Gershuni and E. M. Zhukhovitskii, “Free thermal convection in a vibration field under conditions of weightlessness,” Dokl. Akad. Nauk SSSR,249, No. 3 (1979).

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  7. G. S. Markman and A. L. Urintsev, “Influence of high-frequency vibration on the occurrence of secondary convective regimes,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2 (1976).

  8. S. M. Zen'kovskaya, “Influence of vibration on the occurrence of convection,” Rostov-on-Don University (1978) (Paper Deposited with VINITI, No. 2437-78).

  9. G. Z. Gershuni, E. M. Zhukhovitskii, and M. I. Shliomis, “On the ground level of the convective instability of the equilibrium of a fluid in a sphere and a horizontal cylinder (“circular” critical motions),” in: Hydrodynamics, Vol. 2 [in Russian], Perm' (1970) (Uch. Zap. Permsk. Un., No. 216).

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Authors and Affiliations

  1. Perm'

    G. Z. Gershuni & E. M. Zhukhovitskii

Authors
  1. G. Z. Gershuni
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  2. E. M. Zhukhovitskii
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Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 12–19, July–August, 1981.

We thank G. I. Petrov for helpful discussions.

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Gershuni, G.Z., Zhukhovitskii, E.M. Convective instability of a fluid in a vibration field under conditions of weightlessness. Fluid Dyn 16, 498–504 (1981). https://doi.org/10.1007/BF01094590

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  • DOI: https://doi.org/10.1007/BF01094590

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