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Current Depth and Radiant Heat
Release time:
Sep 03,2025
source:
The influence of current depth and radiant heating
The concepts in the last section are based on the rheological properties of power flow at the billet surface. However, in reality, heat is induced within the metal. To this end, the theory presented in this section is revised; since loss theory includes Bessel functions, this solution is necessary. The revised temperature distribution curves are given in this section. Note that these curves are steady-state curves, i.e., curves where transients have disappeared (t ≥ 0.25). The curve for R/8 = a is the same as that given in §13.3, but for all other values of R/8, the temperature difference decreases.
Heating and soaking time
Highly efficient heating requires R/8 > 1.5 (see §12.5.2). For example, heating a 200 mm diameter billet above the Curie point at a frequency of 60 Hz corresponds to R/8 = 1.6. These curves show that the heating and soaking times given in the last section are unfavorable. Radiation lowers the surface temperature, thereby reducing the temperature difference between the surface and the center. This section summarizes the results of radiation calculations based on certain simplifying assumptions. It must be emphasized that these curves should be used with caution, as radiation varies with surface temperature and is therefore different at every instant in the heating cycle. Radiation is undoubtedly non-negligible. Therefore, in the calculations in the last section, we make approximate corrections. However, it is easy to calculate the radiation magnitude over the entire temperature range using a computer.
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