For the melting of mostly non-ferrous metals or for keeping metals in the liquid state crucible furnaces are often used. Greater use of crucible furnaces for steel and cast iron prevents the relatively high energy intensity of these furnaces. To reduce the energy intensity could contribute even a mathematical optimization of the parameters of the cup. Part of the mathematical model of the radiation heat transfer is the calculation of the view factors. The view factor is mathematically a surface integral whose integrand is again a surface integral. The analytical solution of this problem is therefore possible only in special cases. This article deals with one of these cases and includes a proposal to simplify the calculation of some of the local view factors in the crucible furnace. The proposed calculation is based on the fact that the outer surface of the crucible and the inner surface of crucible furnaces are rotational surfaces with a common axis.Keywords: Steel and cast iron, non-ferrous metals, crucible furnace, view factor
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