| 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.Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No.6, pp. 49–56, November–December, 1993. |
