Mathematical model of convective heat transfer coolant flow moving along the surface of the heated metal cylinder

S. S. Makarov^a, A. I. Karpov^ba, E. V. Makarova<sup>c

a</sup> Institute of Mechanics, Ural Branch of the Russian Academy of Science, Izhevsk, Russia
^b Udmurt State University, Izhevsk, Russia
^c Kalashnikov Izhevsk State Technical University, Izhevsk, Russia

Abstract: The paper presents a mathematical model of convective heat transfer coolant flow, moving along the surface of the heated metal cylinder. Mathematical model of cooling is given in a two-dimensional non-stationary formulation, taking into account the axisymmetric flow of the cooling fluid flow relative to the longitudinal axis of the cylinder. To solve a system of equations used by the control volume method. the flow field parameters calculated algorithm SIMPLE. For the iterative solution of systems of linear algebraic equations of the method of Gauss-Seidel with lower relaxation. The calculations to determine the magnitude of the calculated step along the radius in which there is an adequate description of hydrodynamic and thermal design parameters obtained by the proposed model and empirical data in the distribution of the parameters in the laminar boundary layer on a plate. The results of numerical calculations of the parameters of convective heat transfer at the initial temperature of the cylinder heat, characteristic of the low-temperature bodies, on their surface, the cooling process occurs without boiling liquid. The values of a heated cylinder temperatures in a linear and radial direction while cooling the flow of coolant at speeds typical of laminar flow. Analyzes the intensity change of the surface temperature of the metal cylinder, depending on the water flow rate and time of cooling.

Keywords: mathematical model, cooling the heated metal cylinder, heat transfer, water flow, numerical calculation, parametric analysis.

UDC: 536.24:519.63