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Turbulent convection in a plane horizontal layer

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Abstract

The problem of convection in an incompressible fluid between two horizontal planes maintained at a constant temperature without friction on the boundaries is considered. The medium is assumed to be turbulent. A theoretical model is constructed using mathematical modeling of the coherent structure in the turbulent flow. This turbulent convection-model has one empirical constant in the relations closing the generalized Reynolds equations. The problem formulated is solved analytically by means of the Stuart-Landau method. The main characteristics of the finite-amplitude ordered convection are obtained and their dependence on the empirical constant is studied.

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Authors and Affiliations

  1. Moscow

    T. V. Glukhovskaya & A. E. Ordanovich

Authors
  1. T. V. Glukhovskaya
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  2. A. E. Ordanovich
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Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No.6, pp. 49–56, November–December, 1993.

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Glukhovskaya, T.V., Ordanovich, A.E. Turbulent convection in a plane horizontal layer. Fluid Dyn 28, 790–795 (1993). https://doi.org/10.1007/BF01049780

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