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

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

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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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Keywords

  • Convection
  • Equilibrium State
  • Temperature Gradient
  • Longitudinal Direction
  • Circular Cylinder