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Modeling of Heat Transfer in Composite Bodies Reinforced with Tubes with Swirlers Through Which a Twisted Liquid Heat Carrier Moves in the Turbulent Mode. I. Statement of the Problem

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We obtain a system of equations that describe the processes of stationary heat and mass transfer in composite bodies spatially reinforced with a system of tubes with swirlers through which a twisted incompressible liquid heat carrier is pumped in the turbulent mode. To determine the velocity form-parameters of the flows in the tubes, we used basic relations of the model of vortex transformation in a channel with swirlers. We formulate the corresponding boundary-value problem. It is shown that the system of quasilinear resolving equations has a composite type. Moreover, the paths of the tubes coincide with the actual characteristics of this system. It is demonstrated that, parallel with the traditional temperature and thermal conditions given on the boundary of the heat exchanger, it is necessary to additionally specify temperatures and the values of the velocity form-parameters of the twisted flows of liquid at the entrance of the tubes. The indicated input temperatures of the liquid and form-parameters of the flow enable one to control the processes of heat supply and removal to and from the heat exchanger.

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  1. S. Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

    А. P. Yankovskii

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  1. А. P. Yankovskii
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Correspondence to А. P. Yankovskii.

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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 63, No. 2, pp. 137–149, April–June, 2020.

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Yankovskii, А.P. Modeling of Heat Transfer in Composite Bodies Reinforced with Tubes with Swirlers Through Which a Twisted Liquid Heat Carrier Moves in the Turbulent Mode. I. Statement of the Problem. J Math Sci 272, 161–175 (2023). https://doi.org/10.1007/s10958-023-06407-z

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  • DOI: https://doi.org/10.1007/s10958-023-06407-z

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