Heat transfer in bare and insulated electrical wires with linear temperature-dependent resistivity

A comparison between the closed form solutions reported in this manuscript versus the classical solutions, i.e. the ones in which the electrical resistivity is considered temperature-independent, showed that the they allowed for predicting the situations in which one must consider the temperature-dependent resistivity of the wire core on the ampacity and the influence of the convection coefficient of heat transfer. The closed form solutions were successfully validated using the ANSYS/Steady-state thermal software.