About the authors
| First name, Middle name, Last name, Scientific degree, Scientific rank, Current position. Full and brief name of the organization, The organization address. | Khairullin M.R. – post-graduate student 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 article | Mathematical model of laminar flow of power-law fluid in the rotating «confusor-diffusor» channel with oval section |
| Abstract. | In this work we considered features of the reodynamics in the flow of abnormal-viscous fluid in the rotating «confusor-diffusor» channel with oval section of the apparatus of the type «pipe in pipe». Based on the configuration of the channel, associated curvilinear system of coordinates was described. In the generalized cylindrical system of coordinates on the basis of the complete equations of motion, continuity, energy and thermal conductivity of the channel walls mathematical model of conjugate heat transfer problem with the initial distributions of velocity, pressure, temperature at the channel entrance and exit, and the boundary conditions on the channel walls was built. Curvilinear Coordinate system described in the work is a generalization for the cylindrical coordinate system. Certainly the value of this work lies in the fact that the constructed mathematical model is universal for channels of various configurations. The corresponding variation of the coefficients: A=B, K1=0, K2=1, and parameters Lame allows you to get the well-known equations of motion, continuity, energy and thermal conductivity of the channel walls for the Cartesian, cylindrical and spherical coordinate systems. The subsequent development of a mathematical model of conjugate heat transfer in rotating confusor-diffuser channels oval cross section and its numerical implementation will determine the values of velocities and pressures in the flow part of the channel. Also it will be possible to outline the main directions in the development of engineering methods for calculating heat transfer equipment for the heating of non-Newtonian environment. |
| Keywords. | Reodynamics, conjugate heat transfer problem, abnormal-viscous fluid, channel with oval section, curvilinear coordinate system. |
| For citations: | Khairullin M.R., Zolotonosov Ya.D. Mathematical model of laminar flow of power-law fluid in the rotating «confusor-diffusor» channel with oval section // Izvestiya KGASU. 2012. №3(21) P.113-120. |
