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The effect of design parameters on the magnetic field distribution around a cold crucible and the heat generation rate in it

To clarify the characteristics of cold crucibles, experimental and numerical analyses were conducted. An electrical circuit model for cold crucible was developed to evaluate the inductance corresponding to the coil voltage and the resistance corresponding to the heat loss in the charge, the coil and crucibles with different slit widths. It was found that a narrow slit width was favourable for decreasing the coil voltage under a constant coil current. The boundary element method was adopted for calculation of the three-dimensional magnetic field distribution around the cold crucible. The computed results agree well with the measured values. The heat generation rates in the charge, the crucible and the coil were estimated from the magnetic field calculated by the BEM. Increasing the radius of the charge and the inner radius of the crucible results in a higher energy efficiency and a decrease in the heat generation rate per unit volume in the charge. Local heating of the top part of the charge is available when the tops of the charge, the crucible and the coil are adjusted at the same level.