Mathematical model for the unidirectional solidification of metals: I. cooled molds

Abstract

This paper presents a new mathematical model that can be used to predict the solidification rate and the temperature distribution during the unidirectional solidification of metals n molds cooled by fluids such as air and water. The model differs from other analytical methods presented in the literature in the sense that it is more general in application and easier to manipulate, while retaining the advantage of convenience over numerical techniques. The proposed model permits the measurement of the Newtonian heat transfer coefficient at the metal/mold interface. In order to verify the applicability to air cooled molds, the model is compared with experimental results in the literature for the cases of lead, tin and lead-tin eutectic. Finally, the case of water cooled molds is examined, the model being compared with experimental results obtained in this work for lead and aluminum.