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For the permanent requirement of producing clean steel, multiphase modelling has become a very important technology for process engineers, this tool is very useful to diagnose and control the refining operations in the ladle and the transfer operations from the ladle to the tundish and finally to the continuous casting mould. Most of the previous research studies on steel cleanness during tundish operations has been carried out during steady state periods, with the main purpose of developing an optimum tundish internal design implementing different flow control devices,1–3) and argon bubbling curtains.4,5) Nevertheless, during the unsteady state periods, at the start of a cast or a ladle change over, noticeable differences arise in the inclusion size and its morphology, also the amount of dissolved oxygen increases. These transient periods in tundish transfer operations have shown to be detrimental for the significance of clean steel production since some adverse phenomena are developed, like slag emulsification, slag layer aperture and dragged air into the steel bath. When the tapping of a new ladle starts, the slide gate is fully open to regain the operational tundish bath level; this generates a strong increment of the entry jet velocity Mathematical Modelling of the Effects of Transient Phenomena on Steel Cleanness during Tundish Transfer Practices