Quasilinear Heat Flow

Abstract
The influence of variation (with temperature) of thermal conductivity, density, and heat capacity at constant pressure on the solutions of the heat-conduction equation is considered. Several problems are solved by analog computation, for materials whose properties vary linearly with temperature, and the solutions of these are compared to analytical solutions. Analytical solutions also are obtained for problems involving materials which exhibit power-function-property variations with temperature. In all cases considered, the effects of property changes on calculated temperatures are found to be significant.

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