Abstract
The linear stability of convective flow in a layer between large masses with arbitrary thermal properties is investigated. When the thermal conductivities of the liquid and the masses are commensurable, the stability problem must be solved in the coupled formulation with allowance for the penetration of the temperature perturbations into the masses.
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G. Z. Gershuni and E. M. Zhukhovitskii, Convective Stability of an Incompressible Fluid [in Russian], Nauka, Moscow (1972).
A. T. Lipchin and N. I. Lobov, “Effect of the thermal properties of the boundaries on the convective stability of a laterally heated vertical layer,” in: Convective Flows [in Russian], PGPI, Perm' (1987), p. 11.
M. A. Gol'dshtik and V. N. Shtern, Hydrodynamic Stability and Turbulence [in Russian], Nauka, Novosibirsk (1977).
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 18–22, July–August, 1989.
The author is grateful to G. Z. Gershuni for his constant interest.
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Lipchin, A.T. Coupled stability problem for plane-parallel convective flow. Fluid Dyn 24, 503–507 (1989). https://doi.org/10.1007/BF01052407
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DOI: https://doi.org/10.1007/BF01052407