In the present work, a mathematical model is developed which involves the equations of fluid mechanics and the energy equation to determine the temperature field of the liquid steel that enters a container to solidify, a situation commonly found in production processes of steel today. Using mathematical techniques, a simplified equation of the energy equation is obtained in which a non-dimensional parameter Pe, the Peclet number, allows to evaluate the transport of the heat by convection to the transmission by diffusion occurred in the mold that contains liquid steel. Using finite differences method, the mathematical model formulated is solved numerically to visualize the cooling process of the liquid steel, from the beginning until the solidification process starts. Likewise, the numerical computations are carried out using GNU-Octave, which is a platform to the scientific programming w...

In the present work, a mathematical model is developed which involves the equations of fluid mechanics and the energy equation to determine the temperature field of the liquid steel that enters a container to solidify, a situation commonly found in production processes of steel today. Using mathematical techniques, a simplified equation of the energy equation is obtained in which a non-dimensional parameter Pe, the Peclet number, allows to evaluate the transport of the heat by convection to the transmission by diffusion occurred in the mold that contains liquid steel. Using finite differences method, the mathematical model formulated is solved numerically to visualize the cooling process of the liquid steel, from the beginning until the solidification process starts. Likewise, the numerical computations are carried out using GNU-Octave, which is a platform to the scientific programming w...

El propósito fundamental de la aplicación de la dinámica de fluidos y la transferencia del calor en los problemas relacionados con el proceso de solidificación del acero en la industria de la fundición tradicional es el análisis y la predicción del proceso de enfriamiento que acontece en el interior del molde que contiene el acero en estado líquido. Se presenta detalladamente el procesamiento y análisis de un modelo matemático cuyo objetivo es mostrar el mecanismo de enfriamiento que acontece en el interior del molde cuando existe un suministro continuo de acero líquido en un proceso de fundición tradicional. Finalmente, se presenta los resultados referentes a la solución del modelo matemático mediante la visualización de la solución de la ecuación diferencial de energía involucrada en la construcción del modelo matemático