Abstract
A low‐cost special‐purpose electric analog simulating heat flow in a transverse half section of a glass tank is described. It is easily constructed and is useful for studying steady‐state temperature distributions and heat‐flux densities in regions where convection can be ignored. Results are presented for physically realistic boundary conditions at the outer refractory surface, for an assumed symmetry about the transverse center line, and for three classes of boundary conditions at the free surface of the melt, namely the temperature distribution specified, heat‐flux density distribution specified, or a given relation between temperature and heat‐flux density. Heat transport by radiation is treated as radiation conductivity, and it is shown that even near the boundaries of the glass the error from this approximation is small provided the boundaries can be treated as blackbodies.
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