Magnetic shaping of molten metal columns

In continuous casting the vertically falling liquid column may be shaped by externally applied, horizontal, high-frequency magnetic fields. The free-boundary problem with allowance for surface tension is solved in a two-dimensional approximation by combined complex-variable and numerical methods in the cases where the far field is either uniform or of quadrupole form, or where the field is produced by four vertical conductors centred on the column. Stirring of the fluid is ignored.