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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 Nizhnekamsk Chemical-Technological Institute The organization address: 423570, Russia, Nizhnekamsk, Builders st., 47 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 Mustakimova S.A. – leading programmer 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 interfaced problem of heat exchange of the twirled turbulent liquid flow in the spring-twisted channel based on the Menter turbulence model
Abstract.The article considers the steady-state turbulent flow of a viscous incompressible fluid in a spring-twisted channel. The surface of such a channel is a spring which is rigidly fastened coils. A mathematical model of conjugate heat transfer problem based on the Reynolds averaged equations of motion, continuity, energy and thermal conductivity of the channel walls with boundary conditions is developed. To close the system of equations two-parameter model of turbulence Menter is used, which is in all of its qualities is one of the best currently existing models of turbulence. Considering the geometry of the given channel, the mathematical model equations written in a cylindrical coordinate system. Substitutions, allowed to write the equations in dimensionless form are proposed. Numerical implementation of the resulting model will let to determine the velocity field, pressure and temperature in the flow of Newtonian environment in the spring-twisted channels and to clarify the methods of engineering calculation of heat exchange equipment.
Keywords.Mathematical model, heat exchange, turbulence.
For citations:Bagoutdinova A.G., Zolotonosov Ya.D., Mustakimova S.A. Mathematical model of the interfaced problem of heat exchange of the twirled turbulent liquid flow in the spring-twisted channel based on the Menter turbulence model // Izvestiya KGASU. 2012. №2(20) P.105-111.


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