Abstract
The cold crucible technique is an induction melting and casting process using a segmented, water-cooled, copper crucible. The purpose of the present work is to predict the electrical power transmitted to the metal ingot and the corresponding shape of the liquid pool. Firstly, in the high coil current frequency limit the induced electric current distribution in the metal are obtained by only calculating the mutual inductances of a collection of current loops located on the boundary of the ingot. The liquid metal free surface deformation, which is due to electromagnetic forces is computed iteratively using the magnetostatic approximation. A simple power budget provides the liquid metal temperature distribution which is assumed to be homogeneous. The solid metal temperature field is obtained by solving the heat equation by means of a finite difference scheme. Finally, the solidification front is determined iteratively.
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