The meniscus shape of molten steel under the alternating magnetic field was calculated in the two dimensional case by means of finite differential method. Penetration of magnetic flux line into the conductive charge was also taken into account. The detailed method of calculation was described and the validity of calculation was checked by theoretical analysis.
The height of meniscus becomes large as the magnetic flux density and the frequency of the magnetic field increases. And further, it is cleared that the meniscus shape, under the magnetic field caused by the short coil, is more favorable than the uniform magnetic field or the one which is caused by the long coil, in terms of supporting meniscus.