This work deals with a numerical simulation of the continuous casting process. This process is employed in the fabrication of metallic inguts. The position of the solid-liquid interface is determined together with the temperature field in the solid region. The research is facused on studying the effect of the withdrawal velocity on the interface position, aiming at accidental leakage preventien during the process. In this analysis, the sensible heat is taken into acceunt, in contrast to previous marks reported in the open literature. The present work employed a two-dimensional model. The energy equation was integrated in the rectangular domain by means of the finite-volume method. The liquid regions was at the fusion temperatures, whereas one of the side boundaries was strogly cooled to promote solidification. An algorithm was developed to determine the interface pesition and the domain length. Comparisons of this results obtained with the available solutions obtained excluding sensible heat showed that, depending upon the value of the withdrawal velocity, the sensible heat may or may not be negleted. The simulations was performed with the aid of a microcomputer of the IBM-PC/XT type, employing the Fortran language.