Abstract
FEM (Finite Element Method) has been widely used to solve temperature in hot rolling. The heat gen-erating rate of electromagnetic field has been discussed in order to improve the efficiency and accuracy in the solution of induction heating. A new heat generating rate model was proposed and derived from the calculated results by FEM software in consideration of work frequency, source current density, and the air gap between induction coil and slab. The calculated distribution of heat generating rate in the skin depth by the model is satisfying and reliable compared with that of FEM software. Then, the mathematic model of the heat generating rate model is considered as the density of heat reservoir to solve the temperature in induction heating. Moreover, the temperature evolution of slab in induction heating from a hot rolling plant has been solved by the developed FE code and the calculated temperature has a good agreement with the measured value. Therefore, the heat generating rate model is suitable and efficiency to solve the temperature in induction heating by FEM.
Highlights
Induction heating is widely used in vehicle manufacture, cast-rolling, forging, preheating before rolling, heat treatment, galvanizing and so on
The mainly influent factors including work frequency, current density, air gap and distance of one element to edge were taken into account and a new heat generating rate model is investigated in the work and the new model is written in q ind Ffre Fcur Fairgap Fdis where q ind is heat generate of electromagnetic field in induction heating, Ffre the function of work frequency, Fcur the function of source current density, Fairgap the function of air gap, and Fdis is the function of distance of one element to edge
It can be seen that the calculated temperature had a good agreement with the measured results and the new model is suitable for solution to temperature in induction heating (Figure 6)
Summary
Induction heating is widely used in vehicle manufacture, cast-rolling, forging, preheating before rolling, heat treatment, galvanizing and so on. In the case of the electromagnetic-thermal analysis by FEM, the heat generating rate obtained in the solution of electromagnetic field according to the Maxwell equations and it is considered as the density of heat reservoir into the thermal analysis [8]. In the past, both electromagnetic and thermal field need to be obtained to solve the temperature in induction heating process and these methods reduce the solution efficiency and make the solution of temperature difficult in induction heating. The new model was used as the density of heat reservoir and embedded into the developed FE code for the thermal analysis in induction heating
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