Numerical simulation of the non-regular mode of cooling a high-temperature metal billet by the flow of a gas-liquid medium

¹ Federal State Budgetary Institution of Sciences «Udmurt Federal Research Centre Ural Branch of the Russian Academy of Sciences», 34, T. Baramzinoy St., Izhevsk, 426067, Russia
² Kalashnikov Izhevsk State Technical University, 7, Studencheskaya St., Izhevsk, 426069, Russia

^* Corresponding author: ssmak15@mail.ru

Abstract

A mathematical model of heat transfer at cooling a high-temperature metal billet from structural steel by the flow of a gas-liquid medium in a vertical circular channel is presented. The model has been built with the use of the continuum mechanics approaches and the theory of heat-mass transfer. The non-regular mode of cooling is considered. The results of the numerical parametric investigations of the heat transfer at cooling a metal billet are obtained for a standard regime of thermomechanical strengthening on the basis of the mathematical model of conjugate heat transfer in a two-dimensional nonstationary formulation accounting for the symmetry of the cooling medium flow relative to the longitudinal axis of a cylinder. The control volume approach is used for solving the system of differential equations. The flow field parameters are computed by an algorithm SIMPLE. For the iterative solution of the systems of linear algebraic equations the Gauss-Seidel method with under-relaxation is used. Taking into account evaporation in the liquid, the intensity of the change of the rate of cooling the material of the metal cylindrical billet by the laminar gas-liquid flow is analyzed depending on the time of cooling and the velocity of the gas-liquid flow.