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First name, Middle name, Last name, Scientific degree, Scientific rank, Current position. Full and brief name of the organization, The organization address.Bagoutdinova A.G. – candidate of technical sciences, associate professor E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Zolotonosov Ya.D. – doctor of technical sciences, professor E-mail: This e-mail address is being protected from spambots. You need JavaScript enabled to view it Kazan State University of Architecture and Engineering The organization address: 420043, Russia, Kazan, Zelenaya st., 1
Title of the articleMathematical model of the dual problem of heat transfer in turbulent flow in channels of complex geometry
Abstract.In this paper the mathematical model of conjugate heat transfer problem in a turbulent flow of an incompressible viscous fluid in a channel complex configuration based on the Reynolds averaged equations of motion, continuity, energy, and thermal conductivity of the wall is shown. To close the system of equations of the Reynolds turbulence model based on Menter geometry of the channel is chosen. To convert the differential equations to a dimensionless the original proposed substitution are formed. The model equations are written with the use of independent variables, which has transformed the physical flow domain with curved boundaries in the area with straight boundaries. It is possible to considerably simplify the process of building a computational grid and write the boundary conditions. The numerical realization of the resulting model will identify the main heat-hydrodynamic parameters and clarify the methods of engineering calculation of heat exchangers with heat exchange elements in the form of spring-twisted channels.
Keywords.Mathematical model, boundary conditions, turbulent flow.
For citations:Bagoutdinova A.G., Zolotonosov Ya.D. Mathematical model of the dual problem of heat transfer in turbulent flow in channels of complex geometry // Izvestiya KGASU. 2013. №2(24) P.157-167.


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