One-dimensional boundary layer in the problem of negel-free zone melting in a magnetic field

The behavior of the velocity component of silicon melt particles tangent to the free boundary during crucibleless zone melting in a magnetic field is studied. It is shown that the neglect of convective terms in the skin layer adjacent to the free boundary leads to erroneous results: the tangential velocity cannot reach a constant value when moving along the normal to the free boundary, which in turn leads, as shown earlier, at full solution of the problem, to an order of magnitude decrease in the characteristic velocity of melt particles outside the skin layer.