Abstract
An analysis for the numerical computing of the temperature around a solidification point of liquid steel or melt contained in a mould is performed via the interaction of the conservation equations of mass, momentum and heat transfer. A cooling process of liquid steel due to the extraction of heat through the walls of the mould is analyzed using asymptotic methods and an ordinary differential equation that describes the temperature of interface melt-air is obtained. Also, the temperature of the melt in the mould around the solidification point is computed numerically using the OpenFOAM software.
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