In steel making process, vortices may develope during the tapping of steel from ladle to tundish which take down undesired slag in their core. If the slag is dispersed finely in the melt, it can flow down further into the mold and finally becomes inclusion in the steel. Therefore, the suppression of the vortex formation is very important in steel making process. One of the methods used to suppress the vortex formation is using nozzle eccentricity. In this study the flow field and the free surface change during the drainage of melt from ladle were analyzed numerically with a commercial FDM package, CFX-F3D, to find out the effect of nozzle eccentricity. This calculation results showed the suppression effect of vortex formation by nozzle eccentricity in agreement with experiment. (Received November 14, 1997)