One-Dimensional Boundary Layer in the Problem of Negel-Free Zone Melting in a Magnetic Field
Yu. V. Pivovarov1, N. Yu. Pivovarov2
1Lavrentyev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
2All-Russian Research Institute of the Fire Defense of the EMERCOM of Russia, Balashikha, 143903 Russia
Keywords: incompressible fluid, free boundary, ponderomotive force, skin layer, convective terms
Abstract
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.
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