MAGNETOHYDRODYNAMIC CALCULATION ON DOUBLE-LOOP CHANNEL INDUCTION TUNDISH

A mathematical model is developed to investigate the electromagnetic induction heating in a continuous casting tundish with the double-loop inductor.Maxwell's equations are solved using finite element method to obtain the magnetic flux density, electromagnetic force, and Joule heating.Results show that the induced current through the two channels generates a current loop.The electromagnetic force points to the center of the channel, thus generating a pinch effect on the molten steel.With the skin effect and proximity effect, Joule heating rate reaches its maximum and minimum values at the corners and the center of the crosssection area respectively.Power ampere-turn has a significant influence on the electromagnetic force and Joule heating density.As ampere-turns vary from 3.6×10 4 to 2.16×10 5 , Joule heating rate increases from 2.4 MW m -3 to 85 MW m -3 .Electromagnetic force also increases from 8×10 4 N m -3 to 3×10 6 N m -3 in the center axis line of the channel.The present work reveals the relationship between magnetic flux density and electromagnetic force.The results will be helpful in adjusting the electromagnetic field in channel-induction furnaces and modifying the design of channel parameters.