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.
Highlights
The scientific justification of the regularities of heat transfer at non-regular modes of cooling high-temperature metal bodies by gas-liquid media flows is an important problem
Numerous investigations are dedicated to the regularities of the heat-mass transfer processes
The problem is considered on the basis of a mathematical model of conjugate heat transfer
Summary
The scientific justification of the regularities of heat transfer at non-regular modes of cooling high-temperature metal bodies by gas-liquid media flows is an important problem. The heat transfer at cooling a high-temperature metal cylinder from structural steel by the flow of a gas-liquid medium was investigated with the use of a numerical algorithm [2, 3]. The regularities of the change of the metal cylinder surface temperature were obtained depending on the gas-liquid medium flow velocity. The velocities of cooling the billet material by the gas-liquid medium flow in a horizontal circular channel were determined. The numerical simulation results obtained on the basis of a mathematical model of conjugate heat transfer between a gas-liquid medium flow and a metal cylinder in the two-dimensional nonstationary formulation taking into account the symmetry of the cooling medium flow relative to the cylinder longitudinal vertical axis are presented in [6]. The numerical simulation results were verified by comparing with the nature experiment results
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