Abstract
A description of the method of numerical study in the approximation of a narrow channel of the problems of flow and heat transfer in flat and circular channels of variable cross-section using a differential three-parameter model of shear turbulence is presented. The main results of numerous studies using the proposed method are described, one of the goals of which was to substantiate the possibility of using the narrow channel approximation. This review study is carried out in two parts. In the first part the results of studies of mixed convection in vertical pipes under conditions of stable and unstable stratification, as well as flows in channels with permeable walls in the presence of blowing or suction on the wall, are presented.
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