Abstract
The problem of undirectional solidification of a pure metal under non-ideal conditions of heat transfer has been studied. An integro-differential equation has been derived, involving the position and velocity of the solid-liquid interface. Numerical and approximate solutions are obtained for the position of the solid-liquid interface and temperature distribution in terms of the cooling time. For solidification times less than k 2/ h 2 a, a simple approximated solution is found that fits closely to the results obtained Hills and Moore. For times greater than k 2/ h 2 a, numerical solutions are obtained by means of truncated iterative processes. Finall y, the procedure is applied to the case of continuous casting of steel, a non-pure metal, while freezing in the mold.
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