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Synopsis : An advanced mathematical model of a cold crucible capable of describing the fluid flow coupled with heat transfer limited by the free boundaries of free surface and a solidification front has been developed. Validity of the model was confirmed through measurements of a solidification front, surface velocity of the melt and surface temperature. Effect of parameters during operation, such as coil current, dome height and casting velocity on the fields of velocity and temperature has been investigated. Generally, two kinds of recirculation are expected to appear in the melt. They make a collision slightly above the contact point between the melt and the crucible wall. Appropriate geometrical relation between the dome height and the position of a coil exists to promote melting of scraps fed onto the dome. A titanium ingot consisting of completely melted scraps was continuously cast aided by the proposed operation condition obtained through the numerical calculation.

Mathematical Modelling on Liquid Metal Flow in a Cold Crucible Coupled with Heat Transfer