Based on the induced magnetic field of the conducted melt in a rectangular pipe,the 2-dimensional flow field is computed,then the inclusion trajectories are obtained by solving the MHD equations and the particle trajectory equations,respectively.Results show that the induced magnetic field is apt to produce convection in a square pipe,and thus to disturb the inclusion migration.To avoid it,the pipe with rectangular or circular cross section is better to be applied than one with square cross section for the electromagnetic purification.On the other hand,the induced magnetic field has an in built tendency of self limit,which makes it possible to remove inclusion from liquid melts only with currents (DC or AC) rather than with extra magnetic fields.

A two dimension turbulence model is presented to simulate the fluid flow and heat transfer in casting mould, and Ansys software applies to solve the equations. By means of simulating the flow fields and temperature fields of different inlet velocities, the relations betwen the inlet velocity and the quality of ingots are analyzed. Finally, the comparison between the predicted results and the measured data in BAO Steel is given,and shows that both are in good agreement.

By using the quasi-3D coupled current method presented, the influences of structure of cold crucible, power frequency, electricity property of charge(melt), coil(inductor)position and current on the electromagnetic field(EMF) and the levitation characteristics in the melting processes are analyzed. It is shown that in the melting process, power frequency and crucible structure are the decisive factors for the ability of penetrating magnetic flux into cold crucible. The magnetic flux density in cold crucible is reduced with the rising of power frequency, and this tendency becomes stronger when that is higher than 100 kHz. The segmented structure of cold crucible can reduce the induction eddy in itself effectively, and the higher the power frequency is, the better the result is. So, a cold crucible can be segmented into(16~20) sectors for higher frequency electromagnetic field(f>100 kHz),(8~12) sectors for high frequency one(10 kHz≤f≤100kHz), and(4~8) sectors for mid-high frequency one(f<10 kHz). It is also shown that the levitation force in melting charge is related to coil current as a parabolic function.

In terms of Cauchy's integral formula of analytical complex function and the three order spline function of complex variable, a general boundary solution method is presented for solving the complex potential field of the flow field around a 2D semi infinite body. The pressure coefficient distribution on the cylinder surface by the present method is in good agreement with Acrivous' result for the flow problem around a circular cylinder.

The governing equation of electromagnetic field in moving conductor is of convective-diffusive type. To suppress the spurious oscillations which occur in its Galerkin FEM solution when the grid Peclet number is greater than one and to avoid an inappropriate treatment of diffusive term by Heinrich's upwind scheme, a modified upwind scheme of Heinrich's type is proposed. The scheme is applied to FEM analysis of several electromagnetic field problems in moving conductor.