The cooling process in the manufacture of long steel products generates residual stresses and bending in the section. This initial state, arising from the cooling bed, influences the final residual stresses and bending at the end of the subsequent processes. Owing to the importance of the cooling process, this paper presents realistic modelling and optimisation using computational fluid dynamics (CFD) and finite element analysis. Computational fluid dynamics rendered it possible to accurately overcome two main problems common to previous cooling models: the realistic modelling of the heat transfer coefficient (especially important when modelling outdoor cooling beds because of the implications of forced convection) and the precise view factor modelling of the different section surfaces (useful when modelling a complex section). After decoupled CFD thermo-analysis, the temperature record of each node in the section was loaded into the finite element stress displacement model. The relevant influence of steel phase transformation was considered applying a combined methodology, involving an ABAQUS user subroutine. Accordingly, accurate residual stresses and bending were obtained. After establishing the models, several strategies were analysed for reducing the residual stresses during the cooling process. Results were successfully validated with experimental data from structural section producers.
List of symbolsA areas, m 2 F view factor h heat transfer coefficient, W m 22 uC 21 q convective heat flux, W m 22 L segment length N number of divisions of the segments NT11 temperature, uC S stress, Pa S33 longitudinal stress, Pa t f beam flange thickness, mm t w beam web thickness, mm T temperature, uC T f transformation end temperature, uC T s transformation start temperature, uC X volume fraction of intended phase at T temperature, % X 0 volume fraction of intended phase at transformation termination, % a th coefficient of thermal expansion, uC 21