Electromagnetic Conditions in a Tundish with Channel Type Induction Heating

Abstract

Numerical simulation is one of the effective methods to solve the magnetohydrodynamic problems in electromagnetic metallurgical reactor. A mathematical statement about magnetic vector potential and electric potential is developed to describe the three-dimensional magnetic field, induced current field, Joule heating power field, and electromagnetic force field in a tundish with channel type induction heating. The resultant equations are solved numerically, and the predicted magnetic field agrees well with the experimental data from the previous reference. The research results show that the magnetic field, the induced current field, the electromagnetic force field, and the heating power are the strongest in the channels, and these fields are eccentric in the channel. In the channel, the induced current is along the axis of the channel, the magnetic field is along the circumferential direction of the channel, the electromagnetic force is along the radius of the channel, and Joule heat power density on the side facing the other channel is greater than that on the side facing away from the other channel.

Numerical Simulation of Collision-Coalescence and Removal of Inclusion in Tundish with Channel Type Induction Heating

“…2. Part I is about the electromagnetic field, 24) part II is about the flow field and temperature field, 25) and part III is about the collision and coalescence among the inclusions in molten steel. The calculation procedure is as follows.…”

“…It need no repetition in here. 24,25) In the mathematical model, Joule heating (σ J 2 ) acts as the source term in the energy equation, it increases the temperature of molten steel in the tundish, and related the thermal buoyancy (β (T 0 − T) ρ f g) change the fluid flow. The electromagnetic force (J B)   × acts the source term in the momentum conservation equation, it stirs the molten steel in the tundish.…”

“…The other boundary conditions about electromagnetic field, fluid field and temperature field can be found in our previous paper. 24,25) Diffusion and convection are two mechanisms for inclusion's transport in the molten steel. Thus, the inclusions flux at the tundish boundaries (top slag, bottom wall, incline wall and channel wall) can be expressed by the convection flux and the diffusion flux.…”

“…The predicted magnetic field, fluid field and temperature field have been validated in the previous paper. 24,25) Certainly, the inclusion size distribution should also be validated. Figure 5 shows that predicted value of inclusion number density agrees well with the experimental data when the inclusion diameter is less than 15.5 micro at the ladle shroud and 21.21 micro at the tundish exit.…”

Flow Field, Temperature Field, and Inclusion Removal in a New Induction Heating Tundish with Bent Channels

“…They found that there was a significant effect of electromagnetic force on the molten steel flow in the tundish, and that the flow pattern varied with Joule heating, while the electromagnetic force had little effect on it. Yang et al [10,11] established physical and mathematical models to investigate electromagnetic phenomena, flow field, and heat transfer in a channel type induction heating tundish. Results showed that in the induction heating channels, the electromagnetic field, current field, electromagnetic force, and heating power are the greatest.…”