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Vibrational-convective instability of a horizontal fluid layer with internal heat sources

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Abstract

The convective motion of a nonisothermal fluid in a gravity field in a vibrating cavity is caused by two mechanisms: the usual static mechanism and a vibrational mechanism. The same mechanisms are also responsible for mechanical equilibrium crisis under the conditions in which such equilibrium is possible. The research on these questions is reviewed in [1]. The problems of vibrational-convective stability examined so far relate to cases in which the nonisothermicity was created by specifying the temperature at the boundaries of the region. The present study is concerned with the vibrational-convective stability of a fluid in which the temperature nonuniformity is created by internal heat generation.

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Literature cited

  1. G. Z. Gershuni and E. M. Zhukhovitskii, “Vibrational heat convection under conditions of weightlessness,” in: Hydromechanics and Transport Processes in Zero Gravity [in Russian], Sverdlovsk (1983), pp. 86–105.

  2. G. Z. Gershuni and E. M. Zhukhovitskii, “Convective instability of a fluid in a vibrational field under conditions of weightlessness,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 12 (1981).

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  3. E. M. Sparrow, K. J. Goldstein, and V. K. Jonsson, “Thermal instability in a horizontal fluid layer: effect of boundary conditions and nonlinear temperature profile,” J. Fluid Mech.,18, 513 (1964).

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  4. P. H. Roberts, Convection in horizontal layers with internal heat generation. Theory,” J. Fluid Mech.,30, 33 (1967).

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Authors and Affiliations

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    G. Z. Gershuni, E. M. Zhukhovitskii & A. K. Kolesnikov

Authors
  1. G. Z. Gershuni
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  2. E. M. Zhukhovitskii
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  3. A. K. Kolesnikov
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Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 3–7, September–October, 1985.

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Gershuni, G.Z., Zhukhovitskii, E.M. & Kolesnikov, A.K. Vibrational-convective instability of a horizontal fluid layer with internal heat sources. Fluid Dyn 20, 665–668 (1985). https://doi.org/10.1007/BF01050076

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  • DOI: https://doi.org/10.1007/BF01050076

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